To begin with the question is: what is a deduction? Kant answers this question
in A84/B116:
“When
teachers of law talk about rights and claims, they distinguish in a legal
action the question regarding what is legal (quid juris) from the question concerning
fact (quid facti), and they demand proof of both. The first proof, which is to
establish the right, or for that matter the legal entitlement, they call the
deduction. We employ a multitude of empirical concepts without being challenged
by anyone. And we consider ourselves justified, even without having offered a deduction,
to assign to these empirical concepts a meaning and imagined signification,
because we always have experience available to us to prove their objective
reality. But there are also concepts that we usurp, as, e.g. fortune, fate. And
although these concepts run loose with our almost universal forbearance, yet they
are sometimes confronted by the question of their legality, quid juris. This
question then leaves us in considerable perplexity regarding the deduction of
these concepts; for neither from experience nor from reason can we adduce any
distinct legal basis from which the right to use them emerges distinctly.”
Deduction
is a proof that establishes right or legal entitlement but the proof of
entitlement is different from the proof of the fact of entitlement and the
latter presupposes the former. My citizenship may be proved by producing
certain relevant documents but that assumes that there is a criteria for
determining citizenship and the document merely proves the fact of citizenship
and all the rights that come with it, informing us what a citizen will entitled
to. So the question of who should be counted as a citizen is different from the
question whether or not I am a citizen. The latter question depends on the
application of a criteria and so the proof of the criteria cannot be settled by
fact of application. Before giving a proof we need to inquire into what
constitutes a proof. In answer to the question who should be counted a citizen
one cannot answer anyone who has a certificate of citizenship because the
question is who should be issued such a certificate in the first place. So the
question of objectivity of truth or of moral values can be settled not by
practical use but by establishing which fact would count as a relevant fact –
as establishing the truth or falsehood of something or the morality or
immorality of an action. This is how Kant understood Hume’s problem pertaining
to the question of objective validity of the concepts of cause-effect but which
question could be raised across the board for all concept. As he notes
painfully in Prolegomena that none of Hume’s opponents really understood him
because: “The question was not, whether the concept of cause is right, useful,
and, with respect to all cognition of nature, indispensable, for this Hume had
never put in doubt; it was rather whether it is thought through reason a
priori, and in this way has an inner truth independent of all experience, and
hence also a much more widely extended use that is not limited merely to
objects of experience: regarding this Hume awaited enlightenment. The
discussion was only about the origin of this concept, not about its
indispensability in use; if the former were only discovered, the conditions of
its use and the sphere in which it can be valid would already be given.”
(4:259).
So
the proof of objective validity, the proof of right or entitlement and the
problem of finding the origin of a concept and the question about meaning or significance
of a concept are here linked. Deduction constitutes a proof of objective
validity by demonstrating the meaning or significance of a concept which
requires us to trace the origin of a concept back to its source. Next Kant
tries to circumscribe which kind of concepts require a deduction. The first
criteria is obvious, those whose objective reality is in doubt. One may doubt
for instance whether there is such a thing as fate or fortune. But which are
those concepts whose validity is not in doubt? These are concepts whose objects
can be given to us either in experience, they can be concepts of objects given
to us in experience and which have their source in these experiences and so can
be regarded as a-posteriori and also there are mathematical concepts for
instance the concept of a triangle can be constructed by a geometer in pure
intuition and thereby he can assure himself of the objective reality of his
concepts. The concepts that concern us cannot be given to us in experience and
so must be a-priori and unlike mathematical concepts we cannot simply construct
them in pure intuition. These concepts are pure concepts of understanding which
have been put into doubt by Hume. In the case of causality we saw our problem
was what was the source of our knowledge of causal relation? Hume’s answer was
found defective because no knowledge of necessary connection is possible from
experience and he did not recognize reason as a source of such knowledge. Kant
generalizes this problem in terms of possibility of the synthetic a-priori
judgements and his account of reason aims to show how we connect different
ideas together to form a unity that can be given to us in intuition, pure and
empirical. For this reason we need a transcendental deduction rather than an
empirical one. The former deduction demands (A85/B117) an explanation of how a
concept can refer to an object a-priori. The problem with an empirical
deduction is that it explains only the fact of possession i.e. the question
quid facti but not the possibility of possession itself. We have two problems
here, first we need to show that pure concepts of understanding must refer to
objects a-priori and we need to explain how concepts come to refer to objects
a-priori:
Hume
failed to demonstrate the objective validity of concepts of cause-effect
because he was unable to show how these concepts can be more than
autobiographical predictions and can be truly found in the objects themselves.
He failed because he did not trace the origin of these concepts in the understanding
itself when he failed to find their source in experience. How is it that the
necessity found in the concept that refers to experience yet whose source
cannot be found within experience could still refer to it in the first place?
“But
he was quite unable to explain how it is possible that concepts not in
themselves combined in the understanding should nonetheless have to be thought
by it as necessarily combined in the object. Nor did it occur to him that
perhaps the understanding itself might, through these concepts, be the author
of the experience wherein we encounter the understanding's objects. Thus, in
his plight, he derived these concepts from experience (viz., from habit, a
subjective necessity that arises in experience through repeated association and
that ultimately is falsely regarded as objective).” (A94/B127).
Kant’s
solution will be to find these concepts combined necessarily within
understanding itself and to find them within the object of experience also. First
he shall prove that pure concepts of understanding refer to objects of
intuition and then he shall prove the objective validity of these concepts or
the possibility of necessary reference of pure concepts to intuition by tracing
their origin back to understanding and thereby explaining how these pure
concepts despite having their source within understanding still refer to
objects of possible experience a-priori.
Having
seen his point of departure from empiricists we shall see he departs also from
his rationalist predecessors. We saw that rationalists believe there is
continuity between the human and divine intellect and in the case of Spinoza
and Leibniz this possibility meant that we do not need a special proof of
objective validity. Kant would agree that in this they are right and perhaps
would also agree that the proof of objective validity would be circular by
presupposing this continuity between human and divine intellects. We saw
Descartes infer the objective reality of the concept of God by showing that no
finite being could be the source of the idea of God and by referring this idea
back to its source within God’s intellect he proved the idea’s objective
reality and validity. Yet he could not have done so without presupposing
metaphysical ideas whose possession has now been rendered into doubt. As
regards Spinoza and Leibniz, Kant would emphasize that there is no continuity
between human and divine intellects. Human understanding is discursive rather
than intuitive which means which means that understanding provides the law or
the rules but the object for applying these rules understanding finds from
without. There are two heterogeneous sources of human cognition: sensibility or
receptivity and understanding or spontaneity, the former is responsible for the
matter of cognition or what can be called the object of cognition which is an
appearance and the latter is the source of form or the rules for combining the
data of intuition. We need to understand here the critical nature of Kant’s
inquiry. We have already seen that Hume has put pure concepts of understanding
to doubt and we have seen a possible solution to the problem specific to
cause-effect requires us to assume the existence of God who combines these
objects into the relevant relation. In Leibniz’s case the relevant relation is
harmony, God seeks to maximize goodness by maximizing order and so he groups
certain objects into relations like cause-effect that allow confer an
orderliness in the world and since God is both the source of existence and
knowledge, our own perceptions and concepts are in harmony with the order of
existence. But Kant’s critical inquiry has to perform to borrow Husserl’s way
of putting it an epoche. He is not looking for the possibility or condition of
existence of something whose form is not already within us but instead of our
cognition and hence he cannot assume the existence of God till he has not
demonstrated the objective validity of the concept of God. From a critical
point of view Leibniz’s solution means nothing to us because we cannot find the
source of these ideas within ourselves that would validate these concepts for
us. It is within us, through a survey of our own cognitive powers that we have
to find a solution of this problem – the source of these concepts within our
faculties and their objective validity. The problem would appear simple if we
think that through consciousness directed inward we could possibly find their
presence within us. But Kant is embarking not on a phenomenological but a
transcendental investigation. Self-Consciousness or cogito of Descartes is a
point where our knowledge of essence and existence coincides violating the
discursivity thesis. As a matter of fact atleast as far back as Plotinus the
fact of self-consciousness or self-reflexivity has been used to prove the
distinction of the human soul from matter and its continuity with divine
intellect. Kant however takes finite human cognition very seriously and he
traces all our ideas to two heterogeneous sources and their heterogeneity is
essential to the success of Kant’s endeavour. Against the empiricists he traces
the form of our cognition to its source in understanding and against the
rationalists he traces the origin of matter of cognition to receptivity.
Knowledge of essence does not suffice for knowledge of existence and vica-versa
but despite their heterogeneity we find them combined within human cognition
and this coming together or working together of these two different faculties
is necessary for cognition or the possibility of experience.
It
becomes important to emphasize here how misplaced are recent discussions of
conceptualism and non-conceptualism applied to Kant and his relation to his
empiricist and rationalist predecessors. The question is not whether or not we
can be aware of sensibly given objects without any concepts or conceptual
abilities or whether the object in order to be given us must have a conceptual
structure or not. Kant does mention that the conditions for something to be
thought are different from conditions from something to be given to us in our
sensibility. But at minimum this does not require as Kant urges against
rationalists a metaphysical distinction rather than a logical distinction
between the content of sense and understanding. Even for Leibniz et al,
concepts are not necessary for something to be given to us. The question is
about rules or laws that are operative in human cognition and we are not
talking about physiological laws. For instance in Leibniz’s case a sensible
object is given to our senses when one monad expresses its relation to another
monad in a confused way but his conceptual abilities can reduce this lack of
clarity and confusion by making the content more clear. The relevant point is
that the relation of sense to understanding is one of expression or representation,
no one would probably dispute that our concepts represent our objects given to
us via our senses but the important point is how do we explain this relation of
expression which Leibniz explains through its source in God but in Kant it has
to be explained by finding its source in human cognitive powers or faculties
because for Kant the crucial question is not just the establishment of a law
but the way this law itself is deduced so that this law must also mean
something to us which is possible only if we are the source of the law itself.
Again we see against empiricists Kant emphasizes a transcendental rather than
an empirical deduction and when it comes to rationalists his disagreement is
again in terms of the kind of deduction that is at stake. His transcendental
deduction is a departure from both an empirical and the metaphysical deduction
of the rationalists which involves tracing our judgements back to their first
principles which are like axioms in a deductive system and which are grounded
within God’s intellect and his will. And so in departing from these two
paradigms one may say justifiably Kant’s way is unique. Clarifying the need of
transcendental deduction is also relevant to the current
conceptualism-non-conceptualism debate. For one we see that lack of historical
sensitivity creates an echo chamber for us by moulding the past in the image of
the present thereby distorting our vision of what is different and unique about
the past. We should be able to see that the questions contemporary philosophers
are asking are not the same questions that bothered philosophers like Leibniz,
Kant and Hume and not because they are not important but answering these questions
about determining the content of concepts or phenomenal content demand pushing
the inquiry still further, to understand what a concept is, how the content of
the concept can be determined and most importantly what are the laws that
connect sense and understanding and what are the source or origin of our ideas,
whether all concepts are empirical or are there some that relate to objects
a-priori. From Kant’s standpoint it is imperative to make a transcendental
inquiry into the nature of thought or the pure concepts of understanding which
at the same time is an inquiry into the possibility of experience in light of
which questions about concepts can be raised and answered. To emphasize the
point further we see the justification of our concepts to be linked to
understanding. The relevant question is if our concepts are objectively valid
then we need to know how they are related to objects given to us through our
senses. To answer this question we need to understand the rational connexion
between sense and understanding. Intuition and understanding may be two
disparate faculties but it is through their co-operation that there is an object
of experience and so there must a way to subject intuitions to rules of
understanding and there must be a rational connexion between the two. Not just
Kant but also Leibniz and Hume and philosophers like them in these two
different traditions sought to find the source of these rules or norms that we
tacitly assume in our everyday life. And it is in the way their source can be
found, where their source must be found, that is where these philosophers tend
to differ from one another. Kant wants to find the possibility of experience
within us while like of Leibniz and Descartes think we need to appeal to an
infinite understanding to explain this possibility. But this question is seldom
asked in more recent times and we just assume that it must have been the case
in the past too whereby we miss the opportunity to engage with past
philosophers in order to broaden our own horizon. One final relevant point to
this debate, a contemporary philosopher could simply assume the presence of
rules within us as part of our innate endowment that explain our relating
concepts to intuitions. This answer Kant classified as preformationist and
argued against it:
“If
such a middle course were proposed, the following would decide against it
(apart from the fact that with such a hypothesis one can see no end to how far
the presupposition of predetermined predispositions to future judgments might
be carried): viz., that the categories would in that case lack the necessity
which belongs essentially to the concept of them. For, the concept of cause,
e.g., which asserts the necessity of a result under a presupposed condition,
would be false if it rested only on an arbitrary subjective necessity,
implanted in us, to link certain empirical representations according to such a
rule of relation. I could then not say that the effect is connected with the
cause in the object (i.e., connected with it necessarily), but could say only
that I am so equipped that I cannot think this representation otherwise than as
thus connected. And this is just what the skeptic most longs [to hear]. For
then all our insight, achieved through the supposed objective validity of our
judgments, is nothing but sheer illusion; and there would also be no lack of
people who would not concede this subjective necessity (which must be felt) in
themselves. At the very least one could not quarrel with anyone about something
that rests merely on the way in which his [self as) subject is organized.”
(B168)
Some
commentators assume that rationalists are being criticized in this passage
because Kant uses the metaphor of pre-established harmony to state this view,
yet Kant never relates this view to rationalists and he never says that the
problem with this school was that they give a mere subjective validity to the
concepts of understanding which as a matter of fact is a charge he makes
against Hume. Finally unlike most philosophers today Kant understood rationalism correctly as not positing innate representations
but like him innate faculties or cognitive powers and hence rationalism cannot
be equated with preformationism but some contemporary philosophers can be
ranked under this term who do believe in innate contents drilled into our head
by evolution.
In
A88/B120 Kant hints that this transcendental inquiry is incumbent on us because
if pure concepts of understanding lack objective validity then that will have
repercussions even for the objective reality of mathematical concepts and
empirical concepts. Now that we have considered what is a transcendental
deduction and why it is necessary we need to move further to consider what
should be the structure of the proof of objective validity of pure concepts of
understanding.
1.1 What
is the structure of the proof of objective validity and why does Kant adopt
this manner of proof? This is the question that will be discussed in this
section. First it should be noted that for Kant a representation refers to
object if either (i) the representation makes the object possible or (ii) the
object makes the representation possible:
“Only
two cases are possible where synthetic representation and its objects can
concur, can necessarily refer to each other, and can-as it were-meet each
other: viz., either if the object makes the representation possible, or if the representation
alone makes the object possible. If the object makes the representation
possible, then the reference is only empirical and the representation is never
possible a priori.” (A92/B124)
There
can be no representation that is not a representation of an object – an object
is the individuation condition for a representation. So it is reasonable to
suppose that every representation that is related to or refers to an object
must have been made possible by the object or in the case of a-priori cognition
must make the object possible. This becomes clear when Kant argues that it is
not possible that a concept be completely a-priori and refer to an object but
does not contribute to the possibility of experience:
“It
is wholly contradictory and impossible that a concept should be produced completely
a priori and yet refer to an object, if that concept neither were itself
included in the concept of possible experience nor consisted of elements of a possible
experience. For then it would have no content, because no intuition would
correspond to it; for intuitions as such, through which objects can be given to
us, make up the realm, or the entire object, of possible experience. An a
priori concept that did not refer to experience would be only the logical form
for a concept, but would not be the concept itself through which something is
thought.” (A95)
Thought
would merely be formal if it did not refer to an object and the object to which
thought can be related is one which is conditioned by our sensibility and is
therefore an intuition, what corresponds to matter or the object given within
experience. Only through intuition an object can be given to us which was the
conclusion of Transcendental Aesthetic and so thought can be given an object
only via intuition. Next Kant explains the way we need to understand the proof
of objective validity of concepts:
“Now
the question arises whether concepts do not also a priori precede [objects], as
conditions under which alone something can be, if not intuited, yet thought as
object as such. For in that case all empirical cognition of objects necessarily
conforms to such concepts, because nothing is possible as object of experience
unless these concepts are presupposed. But all experience, besides containing the
senses' intuition through which something is given, does also contain a concept
of an object that is given in intuition, or that appears. Accordingly, concepts
of objects as such presumably underlie all experiential cognition as its a
priori conditions. Hence presumably the objective validity of the categories,
as a priori concepts, rests on the fact that through them alone is experience
possible (as far as the form of thought in it is concerned). For in that case
the categories refer to objects of experience necessarily and a priori, because
only by means of them can any experiential object whatsoever be thought at all.
Hence the transcendental deduction of all a priori concepts has a principle to
which the entire investigation must be directed: viz., the principle that these
concepts must be cognized as a priori conditions for the possibility of
experience (whether the possibility of the intuition found in experience, or
the possibility of the thought). If concepts serve as the objective basis for
the possibility of experience, then-precisely because of this-they are
necessary. But to unfold the experience in which these concepts are found is
not to deduce them (but is only to illustrate them); for otherwise they would,
after all, be only contingent. Without that original reference of these
concepts to possible experience wherein all objects of cognition occur, their
reference to any object whatever would be quite incomprehensible.”
(A93-94/B126)
Pure
Concepts of understanding or categories are objectively valid only if they are
the a-priori conditions for the possibility of experience. A pure concept of
understanding itself is defined as a concept that universally and sufficiently
expresses the formal and objective condition of experience (A96). Kant used
Baumgarten’s Metaphysics as a textbook. In section 14 of that textbook Kant
defines condition in a marginal note: “A condition is that which when not
posited another is not posited”, and a ground is that: “which when something is
posited another is posited according to a rule.” In A97 Kant reiterates this
point: “And if we can prove that only by means of the categories can an object
be thought, this will already suffice as a deduction of them and as a
justification of their objective validity.” If we relate this passage to the
footnote in the Preface to his Metaphysical Foundations of Natural Science then
we see that this proof depends on the following assumptions: a) “that the table
of categories contains all pure concepts of the understanding, just as it
contains all formal actions of the understanding in judging”, b) “that the
understanding by its nature contains synthetic a priori principles, through which
it subjects all objects that may be given to it to these categories, and,
therefore, there must also be intuitions given a priori that contain the
conditions required for the application of these pure concepts of the
understanding, because without intuition there can be no object”, c) “that
these pure intuitions can never be anything other than mere forms of the appearances
of outer or of inner sense (space and time), and therefore of the objects of
possible experience alone.” Kant proved a) in metaphysical deduction of
categories, b) depends on Kant’s formulation of analytic-synthetic distinction
and his denial that we have a non-discursive understanding and c) was proved in
Transcendental Aesthetic. If all these premises have already been proven then
the Transcendental Deduction becomes redundant. However Kant says that the TD
aims at a far more important conclusion, as we find in the footnote itself:
“It
then follows: that all use of pure reason can never extend to anything other
than objects of experience, and, since nothing empirical can be the condition
of a priori principles, the latter can be nothing more than principles of the
possibility of experience in general. This alone is the true
and
sufficient basis for the determination of the limits of pure reason, but not
the solution to the problem how
experience is now possible by means of these categories, and only through these
categories alone. The latter problem, although without it the structure still
stands firm, has great importance nonetheless, and, as I now understand it, [it
can be solved with] just as much ease, since it can almost be accomplished
through a single inference from the precisely determined definition of a
judgment in general (an action through which given representations first become
cognitions of an object).”
In
the revised B-Edition Kant gives us the almost single inference through which
the second conclusion regarding how understanding is the author of possible
experience. Most commentators believe that Kant revised the B-Edition deduction
despite Kant’s declaration that only the manner of representation has changed,
not the content. I shall argue that A-Edition Deduction and B-Edition Deduction
have the same argumentative structure and no substantial change can be found
between the two. This can be seen from what Kant further says in A97:
“However,
not only our power to think is engaged in such a thought, i.e. not only the
understanding, but something more. Moreover, the understanding itself, as a
cognitive power that is to refer to objects, likewise needs to be elucidated,
viz., as regards the possibility of that reference. Hence we must first
examine, in terms not of their empirical but of their transcendental character,
the subjective sources that make up the a priori foundation for the possibility
of experience.”
This
is a very important passage and it shows that in the footnote to the Preface of
Metaphysics Foundations Kant does not say anything different from what he has
said in the A-Edition Deduction. The following points should be noted: a) Kant
says that something more than understanding or the power to think is engaged in
thinking an object b) understanding is called a cognitive power to refer to
objects, c) the possibility of understanding itself is in need of being
elucidated in terms of elucidating the possibility of reference i.e. there
would be no understanding if it did not refer to objects of possible experience
and finally d) Kant seeks to find the subjective source that makes up the
a-priori foundation of the possibility of experience and by extension the
possibility of reference to objects of possible experience and so the
possibility of understanding itself. How do we find these subjective sources?
Kant answers in A97 itself:
“Now,
these three syntheses guide us to three subjective sources of cognition that
make possible the understanding itself and, through it, all experience, which
is an empirical product of the understanding.”
Here
we see again the relevant problem is how understanding is possible. Just before
this passage Kant says that spontaneity is the basis of this threefold
synthesis i.e. synthesis of apprehension, of reproduction and recognition. So
this indicates that spontaneity is somehow prior to and so can determine the
possibility of understanding. Kant also refers to receptivity and says in a way
that reminds one of Hume that no single representation can be entirely foreign
or isolated from another and so even in the synopsis of sense there is
something that corresponds to a synthesis.
Concentrating
on spontaneity now the question is: is it the basis of a synthesis? To answer
this question we need to go back to A77-78/B103 the section 9 which deals with
pure concepts of understanding and where Kant defines a synthesis:
“By
synthesis, in the most general sense of the term, I mean the act of putting
various representations with one another and of comprising their manifoldness
in one cognition. Such synthesis is pure if the manifold is given not
empirically but a priori (as is the manifold in space and time). …..yet synthesis
is what in fact gathers the elements for cognition and unites them to [form] a
certain content. Hence if we want to make a judgment about the first origin of
our cognition, then we must first direct our attention to synthesis. Synthesis
as such, as we shall see hereafter, is the mere effect produced by the
imagination, which is a blind but indispensable function of the soul without
which we would have no cognition whatsoever, but of which we are conscious only
very rarely.”
In
A68/B93 Kant defines a function as the unity of the act of arranging various representations
under one common representation. Synthesis is an activity of the soul, the
effect of imagination whose task is to bring together various representations,
in bringing unity in a manifold. To understand how spontaneity is the basis of
a synthesis we need to direct our attention to how Kant further defines a pure
synthesis in A78/B104:
“Now
pure synthesis, conceived of generally, yields the pure concept of
understanding. By pure synthesis I mean the synthesis that rests on a basis of synthetic a priori unity.
E.g., our act of counting (as is more noticeable primarily with larger numbers)
is a synthesis according to concepts, because it is performed according to a
common basis of unity (such as the decimal system). Hence under this concept
the unity of the manifold's synthesis becomes necessary.”
When
I count certain objects, I bring them under a single concept i.e. the manifold
of an intuition is brought to a unity by a synthesis in accordance with the
rule which gives unity to the act of synthesis itself. A synthesis is an action
of bringing unity to a manifold of synthesis and so it is said to be based on a
unity and in the act of counting the unity is based on a concept (decimal
system). Pure Concepts of understanding are defined in this passage as
conceptions of a pure synthesis and in A78-79/B104 Kant refers to concepts of
understanding as the source of the unity of pure synthesis. If the logic of the
former passage is followed pure concepts of understanding cannot precede pure
synthesis and if the latter passage is referred to then all synthesis depends
on a unity for the sake of cognition and these concepts come from
understanding. I reckon the term ‘understanding’ is being used into two
different senses, in the one it is prior to the categories and brings about the
categories and is what Kant refers to as spontaneity in A97 and in the second
sense understanding is bringing to consciousness the rule on which pure
synthesis is based. This reading will be justified if we jump ahead to passages
in the A-Edition Deduction where Kant discusses Transcendental Apperception. I
will argue that it is this apperception which is referred to above as the
synthetic a-priori unity on which pure synthesis is based and pure concepts of
understanding are conceptions of this unity which is pre-categorial and
responsible for the production of understanding.
In
the A-Edition Deduction Kant introduces the topic of Transcendental Deduction
by first discussing the relation of cognition to its object, a discussion that
is reminiscent of the discussion of the same topic in the Letters to Herz
written almost ten years before the publication of the Critique:
“What,
then, do we mean when we talk about an object corresponding to, and hence also
distinct from, cognition? We can easily see that this object must be thought
only as something as such = x. For, after all, outside our cognition we have
nothing that we could contrast with this cognition as something corresponding
to it. We find, however, that our thought of the reference of all cognition to its
object carries with it something concerning necessity. It does so inasmuch as
this object is regarded as what keeps our cognitions from being determined
haphazardly or arbitrarily, [and as what ensures], rather, that they are
determined a priori in a certain way. For these cognitions are to refer to an
object, and hence in reference to this object they must also necessarily agree
with one another, i.e., they must have that unity in which the concept of an
object consists.” (A104)
What
is the relation of a cognition to its object? Is the object of cognition
distinct from the cognition that can be thought of as an unknown something = x.
Kant repudiates this suggestion because such an unknown object would not mean
anything to us and can hardly be regarded as an object of cognition because the
relation of a cognition to its object carries with it a conception of
necessity, a cognition necessarily refers to its object and if it did not then
there would be no cognition and no object of cognition, the relation of
reference is necessary for both, for one to be counted as a cognition and
another as its object. We cannot go outside our cognition to determine an
object of cognition and hence there must be a necessary relation between the
two. What is this relation? Kant says that they must agree with one another and
this agreement he understands in terms of the unity of the concept which at the
same time is found within the object. In the next passage Kant elucidates this
unity:
“We
are, however, dealing only with the manifold of our representations. And since
that x (the object) which corresponds to them is to be something distinct from
all of our representations, this object is nothing for us. Clearly, therefore,
the unity that the object makes necessary can be nothing other than the formal
unity of consciousness in the synthesis of the manifold of the representations.
When we have brought about synthetic unity in the manifold of intuition this is
when we say that we cognize the object. This unity is impossible, however,
unless the intuition can be produced according to a rule through a [certain]
function of synthesis, viz., a function of synthesis that makes the
reproduction of the manifold necessary a priori and makes possible a concept in
which this manifold is united. Thus when we think of a triangle as an object,
we do so by being conscious of the assembly of three straight lines according
to a rule whereby such an intuition can always be exhibited. Now this unity of
the rule determines all that is manifold, and limits it to conditions that make
possible the unity of apperception. And the concept of this unity is the representation
of the object = x, i.e., the object that I think through the mentioned
predicates of a triangle.” (A105)
The
unity in the object is identified with the formal unity of consciousness, ‘in
the synthesis of the manifold of our representations’ i.e. the object is a
unity of a manifold of representations brought about by a synthesis which is
based on a formal unity of consciousness. When this synthetic unity i.e. the
unity found in the manifold of intuitions is brought about by a synthesis that
is when we say we have a cognition of an object. So the same synthesis which is
responsible for bringing unity of consciousness to a manifold of intuition
which is constitutive of the object of cognition is at the same time
responsible for the cognition of the object thereby securing the necessary
reference or agreement between cognition and the object. Next Kant says ‘this
unity is impossible’ or this synthetic unity is impossible without a rule for
reproduction of the manifold which reproduction is necessary and a-priori
because the rule on which this synthesis of reproduction is based is necessary
and a-priori which also makes possible a concept in which a manifold is united.
Similar to the arithmetical example of counting Kant here gives the example of
constructing a triangle from geometry. We think of a triangle of an object
which is to be conscious of an ‘assembly’ of three straight lines in accordance
with a rule i.e. a synthesis that proceeds in accordance with a rule whereby an
object is given to us or exhibited in intuition. The object is exhibited in
intuition only because there is a rule for the construction or generation of
this object which if followed through allows an object to be given to us and
every time we would follow this rule to construct this object, this same object
will be given to us. When we think this object we think it as both exhibited in
an intuition and as also exhibiting the rule or the concept that brings
together the manifold elements of intuition i.e. we do not simply see an
arrangement of three straight lines but an arrangement brought about in
accordance with a rule where the exhibited object is thought by means of this
rule and every time the rule is applied to a manifold of intuition we would get
the same result.
Finally
Kant comes to transcendental apperception:
“Any
necessity is always based on a transcendental condition. There must, therefore,
be a transcendental basis to be found: a transcendental basis of the unity of
consciousness in the synthesis of the manifold of all our intuitions; and hence
a transcendental basis also of the concepts of objects as such, and
consequently also of all objects of experience a transcendental basis without
which it would be impossible to think any object for our intuitions. For this
object is nothing more than that something whose concept expresses such a
necessity of synthesis. This original and transcendental condition is none
other than transcendental apperception. Now there is, in inner perception,
consciousness of oneself in terms of the determinations of one's state. This
consciousness of oneself is merely empirical and always mutable; it can give us
no constant or enduring self in this flow of inner appearances. It is usually
called inner sense, or empirical apperception. But what is to be presented
necessarily as numerically identical cannot be thought as such through
empirical data. A condition that is to validate such a transcendental presupposition
must be one that precedes all experience and that makes experience itself
possible. Now there can take place in us no cognitions, and no connection and unity
of cognitions among one another, without that unity of consciousness which
precedes all data of intuitions, and by reference to which all representation
of objects is alone possible. Now this pure, original, and immutable
consciousness I shall call transcendental apperception. That this apperception
deserves this name is evident already from the fact that even the purest
objective unity, viz., that of the a priori concepts (space and time), is
possible only by referring the intuitions to this apperception. Hence the
numerical unity of this apperception lies a priori at the basis of all
concepts, just as the manifoldness of space and time lies a priori at the basis
of the intuitions of sensibility.” (A106-107)
Any
necessity is based on a transcendental condition because it brings into
relation two representations where one cannot be said to analytically contain
the other and so it has a synthetic a-priori structure since it relates
concepts to intuitions or cognition to its object and to unearth this relation
is possible only through a transcendental inquiry into the possibility of
reference of cognition to its object. This necessary reference Kant has
explicated in terms of unity of consciousness which determines a manifold of
intuition through a synthesis in accordance with a concept or a concept that is
universal and serves as a rule (A106). So Kant says that there must a
transcendental basis of this unity of consciousness which is the necessary
reference of cognition to an object and so if we find the basis of this unity
we shall also find what makes this necessary reference possible or what is then
the transcendental condition of the necessary reference of a cognition to its
object and the concept of the object and since experience itself is not
possible without thinking an object of intuition in accordance with a concept
our investigation would unearth the transcendental basis of the possibility of
experience itself. The object of experience is the object of intuition whose
concept expresses the ‘necessity of a synthesis’ i.e. a concept is nothing more
than a conception or expression of the rule that is responsible for the unity
or the necessity of the synthesis. By bringing this rule to consciousness or by
thinking this rule i.e. expressing or conceiving this rule, which rule is
responsible for determining a manifold of intuition one has both a concept of
an object and the exhibition of an object as determined by that rule in
intuition and this explains cognition of an object which always involves a
concept either clearly or obscurely (A106). To make this clearer in counting certain
objects I am aware of an inner activity of constructing or determining a
manifold of intuition in accordance with a rule, which activity is what we call
a synthesis which is responsible for bringing a synthetic unity in a manifold
that leads to cognition. This inner awareness of rule governed synthesis is
responsible for forming a concept of a number which is an expression or a
clearer and distinct consciousness of or a representation of this rule for
synthesis which at the same time determines an object of intuition as exhibited
in intuition in accordance with the rule. The concept is nothing but the rule
for constructing or exhibiting an object in intuition. Similarly I am aware of
a triangle as a triangle when I think the rule for constructing a triangle
whereby it is exhibited or given to me in an intuition. The concept expresses
the rule for constructing a triangle and the object contains a unity of a
manifold of intuition in accordance with a rule expressed in a concept. We can
relate this thought to an often cited passage A79/ B105:
“The
same function that gives unity to the various representations in a judgment also
gives unity to the mere synthesis of various representations in an intuition.
This unity speaking generally is called pure concept of understanding. Hence
the same understanding and indeed through the same acts whereby it brought about,
in concepts, the logical form of a judgment by means of analytic unity also
brings into its representations a transcendental content, by means of the
synthetic unity of the manifold in intuition as such; and because of this,
these representations are called pure concepts of understanding applying a
priori to objects.”
In
A99 Kant tells us that even though an intuition contains a manifold yet the
intuition cannot present a manifold as a manifold i.e. as contained in one representation
as in the representation of space or it cannot present a unity of intuition
unless its individual elements are ‘gone through and gathered together’ and
this synthesis which presents the manifold of intuition as a manifold of
intuition is called the synthesis of apprehension and is the product of
imagination. Sensibility offers us only a manifold which is united in a representation
only through a synthesis. Here Kant says that the same function of the
synthesis that unites representations in a judgements also unites the representation
in an intuition. This unity as found in pure synthesis is what Kant calls pure
concept of understanding. The object of intuition is like an example of the
concept in intuition which is the representation of the unity of the rule of
the synthesis that unites both concepts to form a judgement in one end counted
as cognition and on the other end as an object of intuition as displaying the
activity of the rule-governed synthesis. The example and the exemplified must
contain a common basis due to which an example can be counted as an example of
some concept. The same unity so to say is manifest in one direction in the form
of concepts themselves further united in judgements and on the other end is
manifested in an object of intuition. A concept contains the rule for synthesis
of a manifold of intuition and the object contains a manifold of intuition
united in accordance with the rule expressed in its concept. Both necessarily
refer to each other because both contain the same function of a synthesis which
brings on the one hand unity to judgements and on the other hand unity to a
manifold of intuition. This synthesis brings about a necessary synthetic unity
within a manifold because it is itself based on a unity. This should become
clearer as we further explore Kant’s theory of transcendental apperception.
This
unity or this transcendental basis of concepts and the object of intuition and
of the entire possibility of experience itself, is transcendental apperception.
Kant further says that there is an inner perception or a consciousness of
oneself in terms of determination of one’s state i.e. certain inner states are
taken as my states or belonging to me. Kant counts this inner awareness within
inner sense conditioned by time, an empirical apperception. One does not find
any subject of this awareness within the inner states as Hume said we always
stumble upon some perception or other but we do not catch hold of a self in
inner perception. Kant does not see this as a problem for consciousness of one’s
own identity does not depend on something empirical and so is a-priori and Kant
adds that its transcendental condition must be not just prior to all experience
but must be what makes experience itself possible. Further Kant tells us that
no cognition, no connection between cognitions is possible without the unity of
consciousness that Kant calls transcendental apperception to which all one’s representations,
intuitions and concepts must ultimately be referred back to because this
apperception precedes them and makes them possible. Kant continues his
explanation of transcendental unity of apperception in A108:
“Now
this transcendental unity of apperception brings about, from all possible appearances
whatever that can be together in one experience, a coherence of all these representations
according to laws. For this unity of consciousness would be impossible if the
mind, in cognizing the manifold, could not become conscious of the identity of
function whereby it synthetically combines the manifold in one cognition. Hence
the original and necessary consciousness of one's own identity is at the same
time a consciousness of an equally necessary unity of the synthesis of all
appearances according to concepts - these concepts being rules that not only make
these appearances necessarily reproducible, but that thereby also determine an
object for our intuition of these appearances, i.e., determine a concept of
something wherein these appearances necessarily cohere. For the mind could not
possibly think its own identity in the manifoldness of its representations, and
moreover think this identity a priori, if it did not have present to it the
identity of its act - the act that subjects all synthesis of apprehension (a
synthesis that is empirical) to a transcendental unity, and thereby first makes
possible the coherence of those representations according to a priori rules.”
Transcendental
Unity of Consciousness is the source of the law that unites all representations
in one experience or in a coherent whole. How does it make this unity possible?
Because of the consciousness of one’s own identity which is not empirical but
a-priori and which results from inward awareness of the unity of the act of
synthesis. The mind can think its own identity a-priori only through the
identity of the act of synthesis that subjects all representations to
transcendental unity which first makes the coherence of representations
possible, which coherence is understood in terms of concepts that are rules for
reproduction of appearances and in this capacity concepts determine an object
for representations and ensure the coherence between cognition and its objects.
The important point to note is that (i) the mind needs an act of synthesis to
become conscious of its own identity, (ii) the act of synthesis is directed
towards a manifold of intuition and hence consciousness of identity is also
dependent on intuition because it is dependent on the act of synthesis, (iii)
one’s own identity is given in the act of synthesis and hence identity is not
created within one’s representations but is brought to consciousness through it
(iv) the act of synthesis on the one hand allows mind to represent its own
identity and on the other it subjects manifold of intuition to transcendental
unity and thereby brings coherence within representations thereby ensuring the
possibility of experience and (v) finally note that the reference to one
experience in this passage and in other passages like A110 is from the
standpoint of transcendental apperception not empirical apperception.
This
brings us to the key of transcendental deduction that “the a-priori conditions
for a possible experience as such are at the same time the conditions for the
possibility of objects of experience.” (A111). The proof of objective validity
of categories, the pure concepts of understanding is that all thought of an object
of experience are the conditions of thought in a possible experience just as
space and time are the conditions of intuition for the same experience. This
means that any thinking, any intuition whether empirical or pure must conform
to the condition that makes them possible. But experience demands that the
manifold of intuition must also conform to thought as such and all thinking
itself is possible only through contents supplied to it through intuition. This
implies that experience itself is possible when both an object of intuition and
its thought are subject to a condition to which both must conform:
“But
the possibility of these categories-indeed, even their necessity rests on the
reference that our entire sensibility, and with it also all possible appearances,
have to original apperception. In original apperception everything must
necessarily conform to the conditions of the thoroughgoing unity of
self-consciousness. I.e., in it everything must necessarily be subject to the
universal functions of synthesis, viz., of that synthesis according to concepts
in which alone apperception can prove a priori its thoroughgoing and necessary
identity. Thus the concept of a cause is nothing but a synthesis according to
concepts (where what follows in the time series is synthesized with other
appearances); and without such unity, which has its a priori rule and which
subjects appearances to itself, no thoroughgoing and universal and hence
necessary unity of consciousness would be encountered in the manifold of
perceptions. But then these perceptions would also not belong to any
experience, and hence would be without an object; they would be nothing but a
blind play of representations i.e., they would be less than a dream.”
(A111-112)
Note
that the categories themselves are possible only if sensibility or the data
provided by it is subject to the transcendental unity of consciousness that
Kant here also calls original apperception. The first and original rule for
synthesis is that every representation must conform to the conditions of unity
of self-consciousness. All manifold of intuition must be subject to a
‘universal function of synthesis’, which subjects appearances or the manifold
of intuition to necessary unity of consciousness without we would have a manifold
of representations so incoherent as to be ‘less than a dream’, and so it is
this synthesis that makes possible the representation of the necessary identity
of consciousness within the manifold of appearances and thereby makes thought
itself possible. The transcendental unity of consciousness has its own a priori
rule to effect a synthesis which we find to be the first condition for meaning
of concepts themselves and the transcendental deduction begins with this rule
that all representations must be subject to the unity of consciousness:
“All
intuitions are nothing for us and are of no concern to us whatsoever if they
cannot be taken up into consciousness, whether they impinge upon it directly or
indirectly; and solely through consciousness is cognition possible. We are
conscious a priori of the thoroughgoing identity of ourselves in regard to all representations
that can ever belong to our cognition, and are conscious of it as a necessary
condition for the possibility of all representations. (For any such representations
present something in me only inasmuch as together with all others they belong
to one consciousness; and hence they must at least be capable of being connected
in it.) This principle holds a priori, and may be called the transcendental principle
of the unity of whatever is manifold in our representations (and hence also in
intuition). Now the unity of the manifold in a subject is synthetic; therefore pure
apperception provides us with a principle of the synthetic unity of the manifold
in all possible intuition.” (A116)
The
B-Edition Deduction in section 16 (B132) formulates the same rule that the I
Think must be capable of accompanying all my representations because otherwise
‘something would be presented to me that could not be thought at all’, which
means either that the representation itself is not possible or that if possible
it would mean nothing to me. We should note here how closely Kant associates
all thought and intuition such that he is ready to countenance the
impossibility of a representation if it could not be thought. The first
principle for all thought is thereby this transcendental rule that all
intuition must conform to conditions of necessary unity of consciousness ‘I
Think’ which is thinks the identity or unity of consciousness i.e. brings it
this identity to consciousness because of the inward perception of the act of
synthesis which on the one hand makes thought possible and on the other hand
makes the object of thought possible i.e. the conditions for the possibility of
thought and the possibility of the object of thought are the same. Why does
Kant say in A111-112 that universal function of synthesis is synthesis
according to concepts if the possibility of concepts itself is at stake here?
Because transcendental apperception has its own a-priori rule to effect a
synthesis and the first rule without which categories themselves would not be
possible is this rule that I Think must be capable of accompanying all representations,
thereby all thinking and all intuitions must conform to this condition of
transcendental apperception whose unity we find in the concept in the form of a
rule for synthesis which synthesis subjects a manifold of appearances to this
rule and so at once necessarily relates a cognition to its object. Also only
through thinking this rule is the cogito thought ‘I Think’ itself possible i.e.
as Kant says only through a concept which governs a synthesis of a manifold is
it possible for the mind to prove its own identity a-priori. One may recall
here passage from A78 that a pure concept of understanding is pure synthesis
conceived generally. Transcendental Apperception is the source of the rule that
unites the manifold of all representations in one consciousness and the pure
concepts are conceptions of this rule and so it can be said that Transcendental
Apperception is the author of experience itself through these concepts because
these concepts are rules for uniting a manifold of intuitions and an object is
nothing more than a unity of a manifold in whose concept is the rule for a
necessary synthesis for reproduction according of appearances in accordance
with that rule. In the object we find the rule which we have put there in the
manifold of intuition through a synthesis.
All
empirical affinity presupposes transcendental affinity is the conclusion of the
deduction and is in essence Kant’s reply to Hume. This means that all empirical
association is possible only due to uniformity of nature understood in terms of
coherence of all representations in accordance with laws whose source is within
transcendental apperception:
“As
regards the empirical rule of association, on the other hand, we must indeed
assume it throughout when we say that everything in a sequence of events is
subject to rules to the point that nothing ever happens without being preceded
by something that it always follows. This rule, taken as a law of nature on what,
I ask, does it rest? And how is even this association possible? The basis for
the possibility of the manifold's association, insofar as this basis lies in
the object, is called the manifold's affinity. I ask, therefore, how do you
make comprehensible to yourselves the thoroughgoing affinity of appearances
(whereby they are, and must be, subject to constant laws)?” (A113)
Earlier
Kant gave the example of a cinnabar which at one moment turns red then green
then black thereby not giving imagination any constancy to latch on and thereby
to form an association. For two things to be associated in the mind whereby
thought of one according to a rule brings thought of another there must be some
regularity in nature. The affinity of appearances cannot be explained through
associative imagination because the latter presupposes the former. But if this
affinity was independent of consciousness as such one would have to depend on
experience for its knowledge rendering it contingent because it would count as
an empirical deduction. The source of this affinity must be found within
ourselves:
“On
my principles the possibility of this affinity is quite readily comprehensible.
All possible appearances belong, as representations, to the entire possible
self-consciousness. But from this self- consciousness, taken as a transcendental
representation, numerical identity is inseparable and is a priori certain. For
nothing can enter cognition without doing so by means of this original
apperception. This identity must, then, necessarily enter into the synthesis of
everything manifold in appearances, insofar as this synthesis is to become
empirical cognition. Hence appearances are subject to a priori conditions to
which their synthesis (of apprehension) must conform thoroughly. But the representation
of a universal condition according to which a certain manifold can be posited
(hence posited in one and the same way) is called a rule; and if the manifold
must be so posited, then the representation is called a law. Therefore all
appearances stand in a thoroughgoing connection according to necessary laws,
and hence stand in a transcendental affinity of which the empirical affinity is
the mere consequence.”
With
any representation the numerical identity of consciousness cannot be separated
but for this identity to be given to consciousness or the very possibility of
self-consciousness i.e. the I Think is itself possible through a universal
condition that unites the manifold in accordance with this rule by a synthesis
which act is performed by imagination which connects concepts with intuition. If
the synthesis of the manifold of intuition is conceived as necessary then it is
called a law, in A109-110 Kant calls it a transcendental law to distinguish it
from empirical laws and the transcendental deduction is meant to be proof that
all empirical laws are possible only on the basis of a transcendental law which
itself is possible only due to transcendental unity of apperception:
“This
transcendental law says that all appearances must, insofar as objects are to be
given to us through them, be subject toll a priori rules of the synthetic unity
of appearances, a priori rules according to which alone their relation in
empirical intuition is possible. I.e., the transcendental law says: just as
appearances must in mere intuition be subject to the formal conditions of space
and time, so must appearances in experience be subject to conditions of the
necessary unity of apperception indeed, this law says that through these
conditions alone does any cognition first becomes possible.”
In
the Deduction itself Transcendental Apperception is called Pure Understanding:
“The
unity of apperception [considered] in reference to the synthesis of imagination
is the understanding; and the same unity as referred to the transcendental
synthesis of imagination is pure understanding. Hence there are in the
understanding pure a priori cognitions that contain the necessary unity of the
pure synthesis of imagination in regard to all possible appearances. These
cognitions, however, are the categories, i.e., the pure concepts of
understanding. Consequently man's empirical cognitive power contains necessarily
an understanding that refers to all objects of the senses, although it does so
only by means of intuition and the synthesis of intuition performed by imagination.
Hence all appearances, as data for a possible experience, are subject to this
understanding. Now this reference of appearances to possible experience is
likewise necessary. (For without this reference appearances would provide us
with no cognition whatsoever and hence would not concern us at all.) Thus it
follows that pure understanding, by means of the categories, is a formal and
synthetic principle of all experiences, and that appearances have a necessary
reference to the understanding.” (A119)
From
Transcendental Apperception we can derive pure a priori cognitions called
categories because they are rules for bringing this necessary unity or the representation
of the identity of consciousness within the manifold of intuitions. I Think is
the unity of apperception in reference to synthesis of imagination and the same
unity in relation to transcendental synthesis of imagination which in the
passage is also referred to as pure synthesis of imagination is the
Transcendental Unity of apperception and is called pure understanding. This
difference we notice in the last line, that pure understanding by means of the
categories is the synthetic principle of all experiences and the reason why
appearances have a necessary reference to the understanding i.e. to the I
Think, which thinks this unity of consciousness within the manifold of
intuition because of a transcendental synthesis of imagination which is based
on an a priori rule which are called the pure concepts of understanding or the
categories. The unity brought within the manifold of intuition is the unity of
apperception I think, which now accompanies all representations. Its own action
of synthesis is simply called the synthesis of imagination and this I Think is
equated with understanding which contains a necessary reference to manifold of
intuition whose possibility we have explained through transcendental
apperception. In A126 Kant adds to the characterization of understanding as
power to judge, power of concepts now he calls it our power for rules. Through
these rules understanding is considered as the legislator for nature which
makes its law governed-ness possible. Without understanding there would be no
nature even if there might be the blind play of representations less coherent
than a dream. It is because of pure understanding or spontaneity that an
individual finds himself in nature confronting a world independent of himself
capable of being experienced. Transcendental Deduction is a proof of objective
validity of categories in the sense that it finds the subjective ground –
apperception which is the transcendental condition for the possibility of
experiences through the categories.
The Gap Objection
Synthesis
does not bring about unity of consciousness but consciousness of unity and it
is itself based on a prior unity. This point will become clearer in considering
an objection to a-priori synthesis raised in Paul Guyer’s 1980 article ‘Kant on
Apperception and A-Priori Synthesis’. According to Guyer:
“The
theory of the a priori synthesis or constitution of nature arises from the fact
that Kant does not begin his argument from an analytic connection between the
concept of the self-ascription of experiences and the existence of synthetic
unity among experiences so ascribed, but instead commits himself to the a priori
certainty of a thoroughly synthetic connection between consciousness and the
self-ascription of experience, or consciousness.”
Guyer
believes that Kant is arguing that consciousness of combination in a manifold
requires an act of synthesis by the mind and apperception or consciousness that
various thoughts belong to me. The representation of one’s own identity in the
manifold of intuition requires a synthetic unity or combination of thoughts by
means of a concept other than the concept of the self. From these two premises
we get the inference that apperception or consciousness of a continuing
identical self requires a synthesis in accord with a concept different from the
concept of the self. Guyer then poses the question why must this synthesis be
an a-priori synthesis or ‘an actual imposition of order on nature’ and he
answers this question by interpreting Kant as saying that since we are a-priori
certain of our identity in any empirical manifold then we can be certain that
we can synthesize this manifold in accordance with conditions of our
consciousness of apperception. But Guyer says that this condition for
self-ascription of identity should be given an analytic reading as saying that
those representations that I have subjected to a synthesis can be thought as
mine but Kant is arguing that all representations whatsoever in order to be
counted as a representation must be subject to the conditions for apperception.
It is because Kant begins with the latter reading of the transcendental
principle – I Think must be able to accompany all my representations that he
then feels the need to introduce a transcendental synthesis to subject any representation
whatsoever to the conditions for self-ascription of identity or apperception
which can only be accomplished for a transcendental synthesis. But for
apperception he needs a much more moderate premise, that only those representations
that are subject to a synthesis based on concepts other than concept of the
self, are needed for apperception. So I think must accompany only those representations
which have been subject to conditions for apperception which is an analytic
claim. This analytic claim however does not allow one to infer that the
conditions for apperception (the transcendental principle – I Think must
accompany all representations) are the conditions for the possibility of
experience itself. To make this claim Kant would require the premise that representations
must fulfil the conditions for apperception in order to be counted as a representation
at all or for them to mean anything to us. But Guyer has put into question that
such a strong requirement is not needed in order to meet the conditions of apperception
which needs a more modest claim to be discharged. This has repercussions for
proving objective validity of categories because these categories were deemed
valid by Kant on grounds that they were conditions of the possibility of
thought in a possible experience (A111) which role they discharged in virtue of
being functions of a synthesis that brings unity of consciousness within a
manifold of intuition. But now there is only an analytic connexion between
categories conceived as conditions for self-ascription of identity of
consciousness and self-consciousness and since they cannot be seen as bringing
about a more global unity of consciousness in all of one’s representations then
they cannot be seen as authors of possible experience as such and hence as not
objectively valid.
Having
now stated Guyer’s case I will argue based on the textual analysis I have given
where his arguments go wrong. First he understands transcendental apperception
to be consciousness of one’s own identity within a manifold of intuition and
hence dependent on the categories. Against this I may add the following text as
contradicting this claim:
“Apperception
is itself the basis of the possibility of the categories, which in tum present
nothing but the synthesis of the manifold of intuition insofar as this manifold
has unity in apperception. Hence self-consciousness as such is the representation
of what is the condition of all unity and is yet itself unconditioned. Hence we
can say about the thinking I (the soul) which thinks itself as substance, as simple,
as numerically identical in all time, and as the correlate of all existence from
which all other existence must be inferred-that it cognizes not so much itself
through the categories, but cognizes the categories, and through them all
objects, in the absolute unity of apperception and hence through itself. Now it
is, indeed, very evident that what I must presuppose in order to cognize an
object at all cannot itself be cognized as an object by me, and that the
determining self (the thinking) is distinct from the determinable self (the
thinking subject) as cognition is distinct from the object [cognized]. Nonetheless,
nothing is more natural and tempting than the illusion of regarding the unity
in the synthesis of thoughts as a perceived unity in the subject of these
thoughts. One might call this illusion the subreption of the hypostatized
self-consciousness (apperceptionis substantiatae).” (A401-2)
Guyer
fails to see that Kant distinguishes between spontaneity as pure understanding
and understanding itself and that any and every synthesis is based on a unity
and consciousness of identity does not depend on the act of synthesis as such
but bringing to consciousness the unity of the act or the function of synthesis
and this unity is based on the unity of the rule as one can see in the examples
given by Kant, decimal system in the case of counting and the geometrical rule
for constructing a triangle and in this case too this the transcendental rule
has its source in transcendental apperception because Kant defines
understanding as the faculty of rules. Synthesis cannot generate or bring about
a unity that is not based on a prior rule whose source can only be in pure
understanding. Hence categories themselves are generated as pure a-priori
cognitions derived from pure understanding.
Finally
we can now arrive at the proper reading of the transcendental principle that I
think must accompany all my representations. This principle must be given the
reading Kant in fact gave to it, that in order to be counted as a representation
at all or atleast for any representation to mean anything to us they must be
accompanied by I Think i.e. be capable of counted as mine. This reading demands
a de re reading of the necessity and not a de dicto one. On what grounds can
Kant say that all representations must conform to the conditions of unity of
consciousness when as Guyer and Kemp Smith find it difficult to understand that
unity of consciousness itself is stated by Kant as an accomplishment of a
synthesis based on general concepts? The problem can be solved by
distinguishing between the unity of consciousness and the consciousness of this
unity or one’s own identity in the manifold of intuition. The rule is a rule
for bringing about the consciousness of this unity and not the unity itself.
Kant was no Hume to exorcize the notion of unity of consciousness and he was
not a rationalist to believe that in self-consciousness the form and matter of
consciousness coincide and so he believed a synthesis was needed for the sake
of self-consciousness. The reason Kant can subject all representations to the
rule I Think must… is because that identity is already there but the rule and
the synthesis is for the sake of bringing this identity to consciousness of
identity and thereby also make an object possible through this
self-consciousness. This unity of consciousness is transcendental and
pre-categorial and hence cannot be conceived on a substance-inherence model. The
first synthesis is to bring the entire manifold of intuition to one single
consciousness whereby I think can accompany all one’s representations.
If
this is kept in mind then one can see how from apperception i.e. from
conditions for self-consciousness one can infer objective experience or
conditions of the possibility of the object of experience itself. This is
because every synthesis is based on a rule which is the transcendental
condition of the possibility of the synthetic unity made actual by the
synthesis itself. This rule is the unity of the act of synthesis or the
function of the synthesis, to combine a manifold of intuition in accordance
with a prior synthetic unity. Consciousness of one’s own identity which I call
simply apperception instead of transcendental apperception is possible through
the inward awareness of the consciousness of the act of synthesis. So on the
one side synthesis brings this unity of the rule or concept to
self-consciousness or makes self-consciousness itself possible, on the other
hand it makes an object as distinguished from self-consciousness possible
because the object is nothing over and above the expression or exhibition in a
manifold of intuition of a necessary synthesis due to the unity that is found
within its concept. Thereby a cognition comes to necessarily refer to its
object because the object of intuition itself is made possible by a synthesis
that is also the condition for the possibility of the cognition. So through a
synthesis every instance of self-consciousness is correlated with an
object-consciousness. Finally the categories are regarded as objectively valid
because they are the conditions for bringing the manifold of intuition to the
highest unity of consciousness – the transcendental unity of consciousness. It
is because of the categories that we have a world, a nature capable of being
experienced which is yet relative to transcendental apperception as one single
experience. It is because of transcendental unity of consciousness that an
individual empirical subject encounters a world outside himself that is capable
of being experienced. TUA is the source of the rules for combining the manifold
of intuition within one single consciousness which at the same time is
responsible for consciousness of the object. These rules are logical functions
of understanding which when abstracted from all transcendental content are
studied under general logic. Categories are these logical functions considered
in relation to manifold of intuition. A synthesis is always based on a rule
through which a manifold is subjected to the unity found in the rule i.e. a
synthetic unity that yields cognition of an object. This rule is nothing but a
logical function of understanding and the first rule that makes possible all
other concepts is that I Think must accompany all my representations otherwise
a representation cannot be counted as a representation or would mean nothing to
me. This makes an innumerable number of combinations possible that have to be
further narrowed down and it is here that a synthesis based on categories is
required and this I will discuss by elaborating the three-fold synthesis
discussed in the A-Edition Deduction.
Empirical Synthesis
Synthesis
of apprehension, reproduction and recognition are considered as empirical
synthesis. In A99 Kant discusses synthesis of apprehension. He argues that
every representation within a manifold of intuition would be regarded as an
absolute unity in itself lacking any relation to any other representation if
this manifold were not subjected to a synthesis which is supplied by
imagination, not by the intuition itself. This synthesis converts a manifold of
intuition to a unity of intuition by first going through this manifold and then
bringing or gathering them together. Here we should notice that this activity
itself presupposes the presence of a pre-categorial unity of consciousness
otherwise we would have a Humean flux where there is no principle for uniting
different ideas together. Anyways, this act of synthesis is called by Kant,
synthesis of apprehension. In A100 Kant discusses synthesis of reproduction
where he states contra Hume that any empirical association is possible only if
there is a law that unites different appearances in a coherent way. The
importance of this synthesis of reproduction lies in this that it connects
different appearances together in a lawful or regular way without this
regularity of appearances no two objects could be connected in thought so that
the thought of one naturally brings to mind the thought of another even if the
object thought is not present to the senses, such as smoke bringing to mind
fire and a word the object it denotes:
“Nor
could an empirical synthesis of reproduction take place if a certain word were
assigned now to this and then to that thing, or if the same thing were called
now by this and then by another name, without any of this being governed by a
certain rule to which appearances by themselves are already subject.” (A101)
This
connection for instance of smoke to fire or of the word to its object depends
on a law and this law is the law that governs the synthesis of reproduction. To
use another example from A106:
“Thus
the concept of body serves, in terms of the unity of the manifold thought
through this concept, as a rule for our cognition of external appearances. But
a concept can be a rule for intuitions only by presenting, when appearances are
given to us, the necessary reproduction of their manifold and hence the
synthetic unity in our consciousness of these appearances. Thus when we
perceive something external to us, the concept of body makes necessary the representation
of extension, and with it the representations of impenetrability, shape, etc.”
Distinct
representations contained within a manifold of intuition become related to each
other in such a way that they are reproduced as an object is brought to mind
when a word is used, as fire is brought to mind when smoke is perceived, when
three straight lines are brought to mind when one thinks of a triangle and when
extension, impenetrability, shape come to mind as united in the concept of a
body. We may take this thought still further. The concept of body is the
characteristic mark of the concepts of extension, shape etc. To explain using
an example from Kant’s Jasche Logic lectures:
“I see, e.g., a spruce, a willow, and a
linden. By first comparing these objects with one another I note that they are
different from one another in regard to the trunk, the branches, the leaves,
etc.; but next I reflect on that which they have in common among themselves,
trunk, branches, and leaves themselves, and I abstract from the quantity, the
figure, etc., of these; thus I acquire a concept of a tree.”
This
is the procedure for ordinary concept formation, first certain appearances or
objects are grouped together, then compared with other objects and their
similarities and differences are noted. One reflects on the common features of
the object by discriminating them from those that lacks those same features. By
abstracting from the unique features of these objects that are grouped together
one forms a higher concept in this case of a tree which is a mark of the
concepts of spruce, willow and linden and thereby the latter objects are classified
as trees. These common features like having leaves, branches, a root etc. are
brought to mind when one thinks about a tree and when these appearances are
perceived they bring to mind as their characteristic a tree. So seeing certain
appearances as common features of certain objects like spruce, willow, linden
is what allows us to classify these objects under a higher concept (of a tree
in this case) which is what Kant calls the characteristic mark of a certain
concept or in modern terms its intension. This is possible through a synthesis
of reproduction which allows us to classify certain appearances as connected
with each other according to rules for the reproduction as specified by a
concept. To be more specific certain appearances or objects are grouped
together, then compared with other objects and their similarities and
differences are noted. One reflects on the common features of the object by
discriminating them from those that lacks those same features. By abstracting
from the unique features of these objects that are grouped together one forms a
higher concept in this case of a tree which is a mark of the concepts of
spruce, willow and linden and thereby the latter objects are classified as
trees. This entire process of concept formation which allows one to form a
higher abstract concept of a tree only if certain features or appearances are
seen as united together under a rule which rule is the rule for reproduction of
appearances, so similar appearances have to be present to mind when we think an
object through its concept. Thereby one is able to note the similarity of
appearances and rank them as common features which fall under a mark, the
higher concept of a tree in this case. So one may infer that general concepts
can be formed only when certain appearances get fixed in the mind as features
that can be brought under the general concept which is possible through rule
for reproduction of appearances.
In
A102 Kant says that synthesis of apprehension is inseparably linked with
synthesis of reproduction. He gives here the example of drawing a line. If I
have to think or construct a line I must first of all have apprehended the representation
i.e. the part of a line being combined in accordance with a rule with other
parts. But suppose I forgot reproducing following parts failing to combine them
with preceding parts then a whole representation of the line could never arise.
Kant seems to be arguing here that apprehension i.e. grouping different
appearances together like grouping spruce, linden and willow together itself is
possible because the mind pre-reflectively finds these appearances similar
because they have been united under a rule for reproduction which the
individual subject would find only through further scrutinizing these
appearances. But there would be no apprehension without noticing these similar
features if only obscurely at this stage and hence synthesis of apprehension
itself depends on synthesis of reproduction. We would not be able to group
certain parts of a line together without a rule for reproduction in mind to
group them together.
Finally
we come to synthesis of recognition discussed by Kant in A103-110 and it is in
this section we find the first discussion of transcendental apperception as can
be seen in the passages discussed in 1.1. The first line says that synthesis of
reproduction depends on recognition:
“Without
the consciousness that what we are thinking is the same as what we thought an
instant before, all reproduction in the series of representations would be
futile.”
We
can discern a pattern over here – a lesser unity is made dependent on a greater
unity. The initial obscure act of bringing together certain appearances or
synthesis of apprehension is made dependent on a greater unity of synthesis of
reproduction and now reproduction itself is possible only through the synthesis
of recognition. Again Kant elucidates the point by using the example of drawing
a line, this time a line of a definite quantity. If I want to draw a line for
instance of 6 centimetres then I must know the measure of the parts of the line
I am joining together. Now it is not just the parts of a line but even the
quantity of the parts that I am joining together to form a single quantity or
number. This means the different parts of the line have to be seen as parts of
the same line so that one single line can be seen as 6 centimetres long. For
this a simple reproduction of parts will not do, what is needed is the added
recognition that the parts are parts of the same or the one single line. Only
under this condition can different parts be joined together, as parts of a
single line and hence this reproduction of parts depends on recognition because
the particular units are seen as units of a whole which depends on the
conceiving them as the same i.e. they must be capable of being recognized as
the same. Hence the unity of a concept in synthesis of recognition is greater
than the unity found in reproduction rule. In the latter we are able to
abstract a universal feature but in synthesis of recognition we see an
individual as conditioned by a universal kind, i.e. we see it is a member of a
universal kind and so we see an individual not in isolation but as related to a
universal. Hence unity of the rule found in the concept conditions a synthesis
of recognition and this unity is the highest synthetic unity of a concept that
has to be exhibited within a manifold of intuition in order for there to be an
object of cognition at all for in synthesis of recognition we find an object of
cognition that fulfils all requirements of the unity of the rule found in the
concept. And thereby we can also see how personal identity or the identity of
consciousness can be represented only when a manifold of intuition has been subjected
to this synthesis of recognition because thereby we can infer that we have
continued the same when we see some object as the same across an expanse of
time and space. So subjective consciousness of identity depends on object
consciousness because on recognizing an object as the same as that before we
also recognize ourselves as the same and both are made possible by a synthesis
whose unity depends on a rule or on the concept. Hence in this section we find
discussion of concepts, objects of representation and transcendental
apperception.
A Unified Interpretation of A and B-Deduction
In
this section I shall discuss the B-Edition Deduction and argue that Kant’s
views were unchanged from A-Edition to B-Edition Deduction. The second edition
deduction begins with section 15 and ends with section 26. In section 15 Kant
argues that any combination of a manifold of intuition cannot come to us
through the senses and so this combination cannot be part of our pure form of
intuition by which Kant seems to mean receptivity and so he attributes
combination to an act of spontaneity which in this section he calls
understanding to distinguish it from sensibility (cf. A99). In B130 he calls
the act of combining done by understanding, synthesis and formulates his rule
of precedence of synthesis over analysis which he also does in A118:
“…..
we cannot present anything as combined in the object without ourselves' having
combined it beforehand; and that, among all representations, combination is the
only one that cannot be given through objects, but being an act of the
subject's self-activity -- can be performed only by the subject himself. We
readily become aware here that this act of synthesis must originally be a
single act and must hold equally for all combination; and that resolution or
analysis, which seems to be its opposite, yet always presupposes it. For where
the understanding has not beforehand combined anything, there it also cannot
resolve anything, because only through the understanding could the power of representation
have been given something as combined.”
Any
combination Kant says is a representation of synthetic unity of the manifold,
Kant emphasizes that the concept of combination ‘carries with it’, concept of
the manifold, the synthesis and in addition the concept of manifold’s unity. One
finds the same thought expressed in many passages such A78-79 and A105. Further
Kant here quite clearly refers to transcendental unity of consciousness as
preceding and making possible all combinations or concepts of combinations and
this unity does not belong to any category:
“…… the
representation of this unity cannot arise from the combination; rather, by being
added to the representation of the manifold, it makes possible the concept of
combination in the first place. This unity, which thus precedes a priori all
concepts of combination, is by no means the category of unity mentioned earlier
(in section 10). For all categories are based on logical functions occurring in
judgments; but in these functions combination, and hence unity of given
concepts, is already thought. Hence a category already presupposes combination.
We must therefore search for this unity (which is qualitative unity; section 12)
still higher up, viz., in what itself contains the basis for the unity of
different concepts in judgments, and hence contains the basis for the
possibility of understanding, even as used logically.” (B131)
In
section 16 Kant mentions the transcendental principle, I think must accompany
all my representations which I have discussed above and which we also find in
the A-Edition. But we need to pay some attention to Kant’s terminology here. Kant
says the representation ‘I Think’ is an act of spontaneity and he calls it pure
apperception to distinguish it from empirical apperception. Due to the
transcendental principle all manifold of intuition refer to I Think. Further
this pure apperception Kant again calls original apperception because it
produces the representation ‘I Think’ and “[because it] is one and the same in
all consciousness, cannot be accompanied by any further representation.”
(B132). Then he adds to this list of terminology by calling this unity of apperception
- transcendental unity of self-consciousness, ‘in order to indicate a-priori
cognitions can be obtained from it.’ So once again we find that the representation
I think does not depend on a synthesis based on the categories but instead on
transcendental apperception that makes all concepts possible. Why certain
a-priori cognitions can be derived from transcendental unity of apperception.
Kant answers this question:
“For
the manifold representations given in a certain intuition would not one and all
be my representations, if they did not one and all belong to one
self-consciousness. I.e., as my representations (even if I am not conscious of
them as being mine), they surely must conform necessarily to the condition
under which alone they can stand together in one universal self-consciousness,
since otherwise they would not thoroughly belong to me. And from this original
combination much can be inferred.”
The
manifold of representations would not be counted as mine if they did not
conform necessarily to the condition under which they stand together in one
universal self-consciousness. So these representations can be counted as mine
only because they do already in a pre-categorial sense belong to one universal
consciousness.
In
B133-134 Kant explains how one comes to think one’s identity within the
manifold of representations. The reference to a subject’s identity is possible
only through consciousness of synthesis:
“Hence
this reference comes about not through my merely accompanying each representation
with consciousness, but through my adding one representation to another and
being conscious of their synthesis. Hence only because I can combine a manifold
of given representations in one consciousness, is it possible for me to present
the identity itself of the consciousness in these representations I.e., the analytic
unity of apperception is possible only under the presupposition of some
synthetic unity of apperception.”
This
is a consequence of synthesis precedes analysis rule which says I can become of
conscious in a combination only what I have combined within the combination
i.e. our consciousness of our identity in a manifold of intuition depends on
our consciousness of the act of synthesis in which we combine the manifold
according to a rule which gives us an object of intuition. The synthetic unity
of apperception is the transcendental unity of apperception which in a footnote
to this passage Kant also calls the understanding itself:
“The
analytic unity of consciousness attaches to all concepts that are, and inasmuch
as they are, common [to several representations] E.g., in thinking red as such,
I present a property that can be found (as a characteristic) in something or
other, or can be combined with other representations; hence only by virtue of a
possible synthetic unity that I think beforehand can I present the analytic
unity. A representation that is to be thought as common to different representations
is regarded as belonging to representations that, besides having it, also have
something different about them. Consequently it must beforehand be thought in
synthetic unity with other representations (even if only possible ones). Only
then can I think in it the analytic unity of consciousness that makes the representation
a conceptus communis. And thus the synthetic unity of apperception is the
highest point, to which we must attach all use of the understanding, even the
whole of logic, and in accordance with it transcendental philosophy; indeed,
this power is the understanding itself.”
Following
the reasons given in 1.1.2 a conceptus communis depends on a synthesis of
recognition. We have a conceptus communis when one concept like red denotes a
property that differentiates it from other properties and which makes it
possible to combine this concept with another to form a judgement. A synthesis
of reproduction is based on a rule in a concept for the reproduction of certain
appearances in a manifold of intuition which presupposes the ability to discern
a common property through the appearances given in sensibility. For example not
always the same three lines or the same shades of red will be given in
intuition when one thinks the concept of a triangle or of red but one thinks
these objects of intuition in terms of a single concept which contains the rule
for reproduction of those appearances which are given to us in intuition every
time we cognize them. So one can also see that this synthesis is made possible
by a prior one which gives us the ability to recognize this property as one and
the same or which gives us the rule on which depends the analytic unity of a
concept which can be considered a conceptus communis. It tells us which
particular is to be counted as a member of which universal and so it makes
possible reproduction of particulars of intuition in accordance with a concept.
Further in B135 Kant defines understanding as the power to combine a-priori and
to bring manifold of given intuitions under unity of apperception. This
definition is similar to the A-Edition definition of understanding as the power
to form rules and here instead of pure understanding and understanding we have
transcendental or synthetic unity of consciousness identified as understanding
and pure apperception or simply unity of apperception or analytic unity of
consciousness for the ‘I Think’ which thinks the manifold of representations as
mine. The section ends with new terms to reiterate the same point:
“Now,
it is true that this principle of the necessary unity of apperception is itself
merely an identical and hence an analytic proposition. Yet it does declare as
necessary a synthesis of the manifold given in an intuition, a synthesis
without which that thoroughgoing identity of self-consciousness cannot be
thought. For through the ‘I’ as simple representation, nothing manifold is
given; only in intuition, which is distinct from this representation, can a
manifold be given, and only through combination can it be thought in one consciousness.
An understanding wherein through self- consciousness alone everything manifold
would at the same time be given would be an understanding that intuits. Our
understanding can only think, and must seek intuition in the senses. I am,
then, conscious of the self as identical, as regards the manifold of the representations
given to me in an intuition, because I call them one and all my representations
that make up one representation. That, however, is tantamount to saying that I
am conscious of a necessary a priori synthesis of them. This synthesis is
called the original synthetic unity of apperception. All representations given
to me are subject to this unity; but they must also be brought under it through
a synthesis.”
Guyer
cites this passage in his 1980 article to show that Kant’s views changed in
B-Edition deduction because he know regards the connection between apperception
and conditions for the possibility of self-ascription to be analytic. But on
the contrary Kant is emphasizing that even though I Think is an analytic
proposition still it presupposes a necessary synthesis of a manifold given in
intuition without which the identity of self-consciousness cannot be thought, I
emphasize again it is thinking the identity not the identity itself that presupposes
the synthesis. Kant explicates the reasons for not regarding the connection
between conditions of self-ascription of identity and objectivity as analytic,
he says no representation, and no manifold of intuition is given through the
‘I’ as a simple representation. If the conditions were analytic then no
manifold of intuitions or no object of intuition would correspond to it. But in
I think the cogito thought, understanding brings a synthesis to a manifold of
intuition. This is possible only in two ways, first if we have an intuitive
understanding in which case through self-consciousness alone would a manifold
of intuition would be given to an understanding that intuits. But Kant denies
we have an intuitive understanding and adds that we have an understanding that
thinks and which must seek intuition in the senses which is the second way the
manifold of intuition can be given to thought. In the next line Kant equates
the consciousness of identity through a manifold of representations to
consciousness of a necessary a-priori synthesis of the manifold and this
synthesis Kant calls an original synthetic unity of apperception. This
synthetic unity is the application to manifold of intuition of the rule that I
Think must accompany all my representations. This means that the field of representations
becomes subject to a rule derived from transcendental apperception through
a-priori synthesis to the effect that every representation will be subject to
this unity i.e. it would now be possible to combine any manifold of intuition
such that the identity of self-consciousness could be thought within the
manifold. Hence we require a synthetic unity rather than an analytic unity to
make possible the representation of I think or to think any representation
whatsoever as mine presupposes a synthesis without which the cogito thought I
Think i.e. self-consciousness itself is not possible. Although I Think is
analytic since it says that all representations brought under synthesis or the
conditions of self-ascription are to be counted as mine, it itself is based or
made possible by a synthesis preceding it which makes it possible to combine
any manifold of representations to count it as mine. Kant clearly distinguishes
between the two cases – the analyticity of the rule of self-ascription and the
possibility of this rule through a-priori synthesis. The latter is on the
transcendental unity of consciousness and Guyer’s problems arise in ignoring
this and equating the latter with apperception or consciousness of identity
rather than what makes the representation of identity possible through a
synthesis. It is the synthetic consciousness that even in B138 Kant regards as
the condition of all thought and is differentiated by Kant from the analytic I
Think.
Further
in A-Edition Deduction we saw that every synthesis is based on a rule which is
the unity of the act of synthesis and which on one side makes possible the
self-consciousness and on the other object-consciousness and transcendental
deduction is an inquiry into the possibility of this reference of cognition to
its object and so an inquiry about the possibility of understanding itself. The
same point we find made in section 17, B137-138:
“Understanding
speaking generally is the power of cognitions. Cognitions consist in
determinate reference of given representations to an object. And an object is
that in whose concept the manifold of a given intuition is united. But all
unification of representations requires that there be unity of consciousness in
the synthesis of them. Consequently the
reference of representations to an object consists solely in this unity of
consciousness, and hence so does their objective validity and consequently
their becoming cognitions. On this unity, consequently, rests the very
possibility of the understanding. Hence the principle of the original
synthetic unity of apperception is the primary pure cognition of understanding,
on which the entire remaining use of the understanding is based; and this
cognition is at the same time entirely independent of all conditions of
sensible intuition. Thus the mere form of outer sensible intuition, i.e.,
space, is as yet no cognition at all; it provides only the manifold of a priori
intuition for a possible cognition. Rather, in order to cognize something or
other---e.g., a line-in space, I must draw it; and hence I must bring about
synthetically a determinate combination of the given manifold, so that the unity of this act is at the
same time the unity of consciousness (in the concept of a line), and so that an
object (a determinate space) is thereby first cognized. The synthetic unity
of consciousness is, therefore, an objective condition of all cognition. Not
only do I myself need this condition in order to cognize an object, but every
intuition must be subject to it in order to become an object for me. For
otherwise, and without that synthesis, the manifold would not unite in one
consciousness.” (Emphasis mine)
In
B138-139 Kant discusses intuitive understanding again. Against rationalists it
is emphasized that the I Think is analytic and hence merely formal and contains
no coincidence of form and matter of cognition which is possible only for an
intuitive understanding. And so arises the need for synthesis for a human
understanding: “Such an understanding would not require, for the unity of
consciousness, a special act of synthesis of the manifold. The human
understanding, which merely thinks but does not intuit, does need that
synthesis. But still, for the human understanding the principle is unavoidably the
first principle.” Even though we can infer I exist from I Think analytically,
Kant believes that on account of this proposition being analytic no manifold of
intuition is given in this representation at all but since self-consciousness
presupposes or is not possible without an intuition there must be a synthesis
that precedes and makes possible this representation of I Think by uniting a
manifold of intuition in one single consciousness so that the identity of
consciousness can be represented within a manifold of intuition and hence
analytic unity of consciousness presupposes a synthetic unity of consciousness.
Above I showed contra Guyer this is how Kant argued in section 17, B135-136.
Now because I Think is a purely analytic rule and no manifold of intuition is
given in it, it needs a connecting principle to convert this rule into a
cognition by determining an object of intuition for this rule to be applied.
But if human understanding was an intuitive understanding then there would be
no need for a synthesis or connecting principle to bring a content for the
thought, there would instead had been an object of intuition readily given to
an understanding. Human understanding is not intuitive but discursive and
requires a distinct source of cognition in human receptivity which even though
provides us with intuitions, does not provide us with objects of intuitions
which demands that intuitions be subject to a synthesis based on concepts.
Without this connecting principle no cognition is possible because thought
would be without an object and no judgement is possible which unites concepts
together in a unity only when they contain a reference to an object of
intuition. That this unity of judgement or the connecting principle that joins
concepts with intuition presupposes a transcendental unity of consciousness is
what Kant argues in section 18 and 19. Why not simply posit a synthesis instead
of unity of consciousness to explain unity found in the judgement? Because
synthesis is based on a rule or a function that gives unity to the synthesis,
and so synthesis cannot bring synthetic unity in a manifold if it itself is not
based on a synthetic a-priori unity. A synthesis is only an act of combining
but the combination has to be based on a rule, only then can an object of
intuition be determined for a cognition and unity of judgement itself become
possible. So we see section 18 beginning with reference to transcendental unity
of consciousness:
“The
transcendental unity of apperception is the unity whereby everything manifold
given in an intuition is united in a concept of the object. Hence this unity is
called objective, and must be distinguished from subjective unity of
consciousness, which is a determination of inner sense whereby that manifold of
intuition for such [objective] combination is given empirically.”
It
is because of transcendental unity of apperception that a manifold of intuition
is united in accordance with the concept of an object. This is the reason this
unity is called objective because it is the source of a universal and necessary
synthesis which makes cognition possible by determining a manifold of intuition
in accordance with a concept. A unity is subjective when the combination is
contingent and if the unity of the manifold is based on concepts subject to
empirical apperception. This distinction is reminiscent of the distinction
between judgement of perception and the judgement of experience made within
Prolegomena by Kant. He uses the example of a body being heavy in contrast to
feeling heavy, an example we also find in section 19. The transcendental unity
of apperception is an objective unity because it alone makes nature or the
world of experience possible for us as empirical subjects. Hence not subjective
but only objective combinations or objective experience is at stake here, the
latter depends on transcendental unity of consciousness and is made possible by
it. Considerations about empirical unity of consciousness are explicitly
discounted in this particular section.
Section
19 contains the almost single inference that leads to transcendental unity of
apperception. Kant begins with defining a judgement as a representation of the
relation between two concepts. The question arises what is this relation
between concepts. Kant answers:
“But
suppose that I inquire more precisely into the [relation or] reference of given
cognitions in every judgment, and that distinguish it, as belonging to the
understanding, from the relation in terms of laws of the reproductive imagination
(a relation that has only subjective validity). I then find that a judgment is
nothing but a way of bringing given cognitions to the objective unity of
apperception. This is what the little relational word is in judgments intends
[to indicate], in order to distinguish the objective unity of given representations
from the subjective one. For this word indicates the reference of the representations
to original apperception and its necessary unity. The reference to this
necessary unity is there even if the judgment itself is empirical and hence
contingent--e.g., Bodies are heavy. By this I do not mean that these representations
belong necessarily to one another in the empirical intuition. Rather, I mean
that they belong to one another by virtue of the necessary unity of apperception
in the synthesis of intuitions; i.e., they belong to one another according to
principles of the objective determination of all representations insofar as
these representations can become cognition all of these principles being
derived from the principle of the transcendental unity of apperception.”
The
function of a judgement is to bring cognitions to objective unity of
apperception which is what the relational copula ‘is’ denotes in a judgement, a
reference to original apperception and its necessary unity. Guyer (2010)
objects to this argument on the following ground:
“The
problem, however, is that by identifying the unity of apperception with
objectively valid judgment in this way, Kant has now managed to exclude from the
embrace of apperception mere reports about one’s own experience, such as “If I
carry a body, I feel a pressure of weight,” which seem like perfectly good
expressions of the self-ascription of experiences that should therefore be
included within the scope of the complete unity of apperception whether they
can be immediately transformed into judgments about objects or not, and has
thereby potentially left a vast number of our properly self-ascribed experiences
outside of the domain of the categories altogether. While it would be perfectly
sound for Kant to distinguish between the manifold of intuitions of inner sense
that is the data for the unity of apperception and the unity of apperception
itself as a structured synthesis of such data, his equation of the distinction
between the subjective unity of consciousness and the objective unity of
apperception with the distinction between objectively valid judgments about
objects and mere reports about subjective impressions means that he has ended
up excluding many self-ascriptions of experience from the unity of
apperception. He has established a connection between apperception and
judgment, and thereby between apperception and the categories, only by
restricting the domain of apperception and undermining his initial claim that I
must be able to attach the “I think” – and thereby the categories – to all of
my representations.”
Such
an objection is strange since Kant quite explicitly claims in this passage that
the reference to necessary unity of consciousness is there even if the
judgement is merely empirical and contingent. But then Kant also seems to be
arguing that judgements of experience are the relevant kind of judgements
contain a necessary reference to transcendental unity of apperception. The
point is that both statements are true. Judgements of perception or empirical
merely contingent judgements are made possible only because transcendental
unity of consciousness makes nature itself or a world of experience possible
without which no judgements even subjectively valid would be possible. We saw
the basic argument in A-Edition deduction where Kant argued that all synthesis
of apprehension and synthesis of reproduction or all customary association
itself is possible only if there is a law like connection between appearances.
Subjectively valid judgement can be converted into objectively valid judgement
through the mediation of the categories. For example the judgement body seems
heavy can be converted into a judgement body is heavy by applying the category of
substance and attribute. The subjectively valid judgement contains a reference
to necessary unity of consciousness in so far as any possible combination not
necessarily a necessary and universal one is possible only if representations
can be combined within a single consciousness in accordance with the
transcendental rule whose source lies in transcendental unity of apperception
and hence potentially a subjectively valid judgement can be converted into an
objectively valid one if one comes to discover that the rule of combination in
this case is really a law, necessary and universal for combining appearances
and that our subjective association of appearances itself now is seen as made
possible by the connection present within nature itself which is made possible
by transcendental unity of apperception.
In
section 20 Kant argues that a manifold of intuition cannot give us a
combination or an object of intuition without a synthesis and hence presupposes
original synthetic unity of consciousness. The same argument is found also in
A-Edition Deduction specially made in reference to synthesis of apprehension in
A99. In this section Kant describes the categories: “The categories however, are
indeed nothing but precisely these functions of judging insofar as the manifold
of a given intuition is determined in regard to them.” In B128-129 Kant shows
how categories determine a manifold of a given intuition in regard to function
of judging. An object of intuition is determined for instance as a substance or
a final subject of determination by fixing its place in a logical function of
judging and thereby a subject of judgement pertaining to an object of intuition
is thought as a substance:
“The
only thing that I still want to do before we start is to explicate the categories:
they are concepts of an object as such whereby the object's intuition is
regarded as determined in terms of one of the logical functions in judging.
Thus the function of the categorical judgment e.g., All bodies are divisible-is
that of the relation of subject to predicate. But the understanding's merely
logical use left undetermined to which of the two concepts we want to give the
function of the subject, and to which the function of the predicate. For we can
also say, something divisible is a body. If, on the other hand, I bring the
concept of a body under the category of substance, then through this category
is determined the fact that the body's empirical intuition in experience must
be considered always as subject only, never as mere predicate. And similarly in
all the remaining categories.”
Categories
determine one of the terms of the logical functions in judging. For example in
a judgement A-R-B, the subject and predicate can interchange their positions.
But if the subject term is fixed then in thought the subject term is the final
subject which cannot be a predicate and when related through a schema to an
empirical intuition we get the concept of a substance to which an object of
intuition corresponds and which can be seen as exhibiting a concept in
intuition in the way mathematical concepts are exhibited in pure intuition.
In
section 21 Kant further elucidates the role of categories:
“Through
the synthesis of understanding, a manifold contained in an intuition that I
call mine is presented as belonging to the necessary unity of self-consciousness,
and this presenting is done by means of the category.”
In a
footnote added to this passage Kant says that the proof of this lies in unity
of intuition which gives us an object of intuition depends on a synthesis of
manifold and so necessarily refers to unity of apperception which was Kant’s
argument in section 20. The synthetic unity that is brought within a manifold
of intuition contains on the one side self-consciousness or the representation
that this representation of the object of intuition is mine and on the other
side it brings to consciousness an object of intuition whose unity is contained
in the rule of synthesis. So categories since they are logical functions that
present an object of intuition to consciousness which is considered as mine or
belonging to me, are equated with rules of synthesis or logical functions of
understanding that determine an object of intuition. From this Kant infers:
“Hence
the category indicates that the empirical consciousness of a given manifold of
one intuition is just as subject to a pure a priori self-consciousness, as
empirical intuition is subject to a pure sensible intuition that likewise takes
place a priori.”
The
manifold of intuition united in an object contains a necessary reference to
synthetic unity of consciousness but since this unity is brought about by means
of a synthesis based on categories, the categories are the means through which
transcendental unity of consciousness brings about both self-consciousness and
the unity in a manifold of intuition requisite for cognition and so even within
an empirical manifold categories indicate the necessary reference this manifold
has to necessary unity of consciousness since the empirical manifold
presupposes synthesis based on categories which ultimately depends on
transcendental unity of consciousness. The next passage has become a field of
disputes among commentators because Kant seems to be dividing the argument of
the deduction into two steps, one taken from section 15-20 and the last
culminating from section 21 to 26 by establishing the objective validity of the
categories:
“Hence
in the above proposition I have made the beginning of a deduction of the pure
concepts of understanding. Since the categories are independent of sensibility
and arise in the understanding alone, I must still abstract, in this deduction,
from the way in which the manifold for an empirical intuition is given, in
order to take account solely of the unity that the understanding contributes to
the intuition by means of the category. Afterwards (§ 26) I shall show, from
the way in which the empirical intuition is given in sensibility, that the
intuition's unity is none other than the unity that (by § 20, above) the
category prescribes to the manifold of a given intuition as such; and that
hence by my explaining the category's a priori validity regarding all objects
of our senses, the deduction's aim will first be fully attained.”
The
above proposition i.e. categories indicate within empirical consciousness the
presence of a necessary unity of consciousness. Categories as logical functions
of understanding have their source solely within understanding and Kant as he
says in section 18 discounts considerations of empirical consciousness to
elucidate the role of categories as the rules or functions for synthesis for
bringing a manifold of intuition to unity of consciousness. Kant has at this
stage has only indicated how categories are the rules for synthesis of a
manifold for all intuition as such and what Kant now seeks to demonstrate is
that it is also the rule of synthesis for bringing unity within an empirical
manifold specifically. This demonstration is necessary for establishing the
transcendental affinity of empirical manifold as Kant argued in the A-Edition
Deduction. Instead of transcendental affinity Kant is arguing about the unity
of an empirical manifold as referring necessarily to a transcendental unity of
consciousness because of the categories. This conclusion will be established in
section 26. The entire section then cannot be divided into two arguments or two
steps of the same argument, it is the application of the same argument which
was made in relation to manifold of intuition in general is now shown to be
specifically applied to a manifold of empirical intuition. But since empirical
manifold is made possible by a pure manifold of intuition why does Kant need to
prove the objective validity of categories specifically in relation to an
empirical manifold? Kant answers this question: “From one point, however, I
could not abstract in the above proof: viz., from the fact that the manifold
for the intuition must be given still prior to the understanding's synthesis,
and independently of it; but how it is given remains undetermined here.”
Section
22 begins with making a distinction between thought and cognition, the former
contains a concept by which an object is thought but the latter refers to an
object of intuition. Now all intuition that is possible for us is a sensible
one which was the conclusion of the Transcendental Aesthetic and so Kant infers
cognition which is thinking an object by means of pure concepts of
understanding is possible only in relation to objects given to us by our
senses. Sensible intuition is divided into pure and empirical. Mathematical
concepts can be exhibited within pure intuition but they cannot be regarded as
cognitions if these mathematical concepts cannot be applied to empirical
intuitions. Similarly in the case of categories:
“Consequently
the categories also do not supply us, by means of intuition, with any cognition
of things, except through their possible application to empirical intuition
I.e., the categories serve only for the possibility of empirical cognition.
Such cognition, however, is called experience. Consequently the categories
cannot be used for cognizing things except insofar as these things are taken as
objects of possible experience.”
Transcendental
Apperception cannot be regarded as the progenitor of experience if categories
do not determine the objects of experience and this requires applicability of
categories not simply to objects of intuition as such but specifically to
objects of empirical intuition because experience itself is not possible
without empirical intuition. The reference to possible experience determines
the sense and bounds of the use of categories and also their objective validity
and so their reference to empirical intuitions in specific has to be explained
but just as their validity with respect to intuition in general was established
so through the same argument i.e. as rules of synthesis for an empirical
manifold while also considering the possibility of an empirical manifold (while
previously Kant only required the premise that unity of intuition requires a
synthesis which argument he makes in section 20). Such an argument presupposes
the possibility of referring to intuitions and so the possibility of
understanding itself because only then can categories establish that through
their applicability to intuition in general or to empirical intuition, this
manifold also refers to the transcendental unity of consciousness.
Section
23 tells us that by showing how categories apply to objects of empirical
intuition their scope of application is restricted to the latter.
In Section
24 Kant distinguishes between figurative synthesis and intellectual synthesis,
the latter synthesis is operative in applying categories to the manifold of
intuition in general and does not require imagination but only understanding as
such because categories are nothing but logical functions of thought for
determining a manifold of intuition in general. To apply categories to
empirical intuition one needs the use of imagination and this synthesis which
eventually also needs a schema is called here a figurative synthesis. Kant here
also distinguishes between productive and reproductive imagination. What is
called figurative synthesis here was called in A-Edition Deduction
Transcendental Synthesis of Imagination. Kant there divides imagination into
productive and reproductive and calls the former productive imagination which
is responsible for effecting a transcendental affinity presupposed by every
empirical association:
“The
objective unity of all (empirical) consciousness in one consciousness
(i.e.,
in original apperception) is, therefore, the necessary condition even of all
possible perception; and the affinity of all appearances (whether near or
remote) is a necessary consequence of a synthesis in imagination that is based
a priori on rules. Hence the imagination is also a power of an a priori
synthesis, and this is the reason why we give it the name of productive
imagination. And insofar as the imagination's aim regarding everything manifold
in appearance is nothing more than to provide necessary unity in the synthesis
of appearance, this synthesis may be called the transcendental function of the imagination.
Hence from what has been said thus far it is indeed evident, although strange,
that only by means of this transcendental function of the imagination does even
the affinity of appearances become possible, and with it their association, and
through this association finally their reproduction according to laws, and
consequently experience itself. For without this transcendental function no
concepts whatever of objects would meld into one experience.” (A123)
And
he also distinguishes intellectual with imaginative synthesis:
“Now,
this apperception is what must be added to pure imagination in order to make
its function intellectual. For the synthesis of imagination, although performed
a priori, is yet always in itself sensible, because it combines the
manifold--e.g., the shape of a triangle-only as it appears in intuition. But
through the manifold's relation to the unity of apperception, concepts which
belong to the understanding will be able to come about, but only by means of
imagination as referred to sensible intuition.” (A124)
The
rules of understanding can be derived from understanding analytically without
referring to a manifold but to bring a cognition through them we need a
manifold of intuition and hence this analytic unity presupposes a synthetic
unity which relates thought to an object and so brings about a cognition.
Synthesis is therefore the means through which concepts are brought in relation
to intuition. When we need to focus on logical functions in their capacity of
combining any manifold of intuition in general without the need of any manifold
being presented to us we talk about an intellectual synthesis but when
synthesis is seen as a means of relating concepts to empirical intuition and so
brings in the need for exhibition of these concepts in intuition then we talk
about figurative synthesis.
Further
in section 24 Kant argues that we never cognize ourselves as we really are but
we intuit our existence in time. Section 25 begins with making the same point
we saw made in relation to intuition in general, that the consciousness of my
existence only tells us that I am i.e. I exist and it is merely thought and no
intuition is given through it and so cognition of ourselves requires in
addition an act of synthesis and so cognition of my existence occurs only in
inner sense. Here Kant seems to be making the point in relation to empirical
apperception. I however regard myself as an intelligent being because
intelligence is the power of combination and self-consciousness even in this
case is due to the power of combining representations which also leads to
cognition of our own existence in time i.e. as conditioned by inner sense.
This
brings us to the final section 26. Kant clarifies what his aim in this section
is:
“In
the metaphysical deduction we established the a priori origin of the categories
as such through their complete concurrence with the universal logical functions
of thought. But in the transcendental deduction we exhibited the possibility of
them as a priori cognitions of objects of an intuition as such (§§ 20, 21). We
must now explain how it is possible, through categories to cognize a priori
whatever objects our senses may encounter to so cognize them as regards not the
form of their intuition, but the laws of their combination and hence, as it
were, to prescribe laws to nature, and even to make nature possible. For
without this suitability of the categories, one would fail to see how
everything that our senses may encounter would have to be subject to the laws
that arise a priori from the understanding alone.”
In
Section 20 we saw that unity of intuition is possible only through synthesis
and in section 21 categories were regarded as objectively valid because they
are rules for an intellectual synthesis that applied to intuition in general or
any combination of intuition in general. The final step it was mentioned there
was to show that the categories are valid in relation to empirical intuition.
Again this is what Kant says right at the beginning of this section. General
Logic studies these functions for combining intuitions without reference to
intuitions but transcendental logic is concerned with origin of these functions
and in order to show their origin and prove their validity reference to
intuition is essential.
How
can categories be shown to apply to empirical intuition? They can be applied by
referring categories to the form of intuition – space and time. Every empirical
intuition must conform to these conditions and if categories are applicable to
space and time then every empirical intuition will also be shown to presuppose
the categories as functions for combining an empirical manifold. So how can
categories be applied to space and time? To this Kant answers in a way very
similar to his argument in section 20:
“We
have a priori, in the representations of space and time, forms of both outer and
inner sensible intuition; and to these forms the synthesis of apprehension of
the manifold of appearance must always conform, because that synthesis itself
can take place only according to this form. But space and time are presented a
priori not merely as forms of sensible intuition, but as themselves intuitions
(containing a manifold), and hence are presented with the determination of the
unity of this manifold in them (see the Transcendental Aesthetic). Therefore
even unity of synthesis of the manifold outside or within us, and hence also a
combination to which everything that is to be presented determinately in space
or time must conform, is already given a priori as condition of the synthesis
of all apprehension given along with (not in) these intuitions. This synthetic unity,
however, can be none other than the unity of the combination, conforming to the
categories but applied to our sensible intuition, of the manifold of a given
intuition as such in an original consciousness. Consequently all synthesis, the
synthesis through which even perception becomes possible, is subject to the
categories; and since experience is cognition through connected perceptions,
the categories are conditions of the possibility of experience and hence hold a
priori also for all objects of experience.”
Space
and time are not just forms of intuition but formal intuitions (B161n) or
intuitions themselves that contain a manifold in them. Synthesis of
apprehension (A99) has as its function the act of bringing together scattered
elements together which would otherwise be absolute unities. Hence even the
synthesis of apprehension conforms to the form of space and time but all
synthesis is an act of spontaneity or understanding and hence formal intuitions
of space and time themselves are brought through a synthesis undertaken by
understanding. Synthesis of apprehension presupposes as its a-priori condition
the unity of synthesis and a combination i.e. synthetic unity itself which is
the unity of combination. As we saw in our previous discussion the unity of
synthesis is due to a rule which combines a manifold of intuition in which an
object of intuition combines within it a manifold as reflected in the unity of
the rule or the concept. Since space and time as formal intuitions presuppose a
synthesis and a unity of a synthesis due to a rule which rule is nothing else
but the categories one can infer that space and time in order to be formal
intuitions as given in synthesis of apprehension must conform along with forms
of intuition also to the categories and so since all empirical intuitions
presuppose space and time as formal intuitions they must also presuppose
categories, since whatever can be cognized is cognized in space and time which
cognition depends on a synthesis and the unity of synthesis due to rules. The
argument is the same as given in A-Edition where synthesis of apprehension was
shown to presuppose reproduction and recognition but there it was given in
greater elaboration. In footnote to B163 Kant says:
“In
this way we prove that the synthesis of apprehension, which is empirical, must conform
necessarily to the synthesis of apperception, which is intellectual and is contained
wholly a priori in the category. The spontaneity that brings combination into
the manifold of intuition is one and the same in the two cases: in apprehension
it does so under the name of power of imagination; in apperception it does so under
the name of understanding.”
The
argumentative structure is the same we found in section 20, unity of intuition
presupposes a synthesis, in this case the relevant unity if formal unity of
intuitions – spatial and temporal intuition. Kant however further explains this
through two examples, I consider here one of these:
“When
(to take a different example) I perceive the freezing of water, then I
apprehend two states (fluidity and solidity) as states that stand to each other
in a relation of time. Since the appearance is inner intuition, I lay time at
its basis. But in time I necessarily present synthetic unity of the manifold;
without this unity, that relation could not be given determinately (as regards
time sequence) in an intuition. However, this synthetic unity, as a priori
condition under which I combine the manifold of an intuition as such, is if I
abstract from the constant form of my inner intuition, i.e., from time the
category of cause; through this category, when I apply it to my sensibility,
everything that happens is, in terms of its relation, determined by me in time
as such. Therefore apprehension in such an event, and hence the event itself,
is subject-as regards possible perception to the concept of the relation of effects
and causes; and thus it is in all other cases.”
The
succession of two states of water, fluidity and solidity is grasped in time
because time is the order of succession but to grasp something as before and
another as after presupposes a synthetic unity or else no relation between the
two events in time would be noticed since they would be absolute unities. Just
as I Think is an analytic unity unrelated to a manifold of intuition, instants
of time too would be bare unities if they also did not presuppose a synthesis.
So this synthetic unity found in time is the a-priori condition under which a
manifold of intuition is combined. The same succession if I see abstracting
time from it, then I can apply the conditional form of judgement to the
succession and understand it in terms of the relation of cause and effect. The
same synthetic unity thought in terms of time or sequence of events in time now
is seen in terms of the relation of cause and effect. This synthetic unity was
brought about by means of synthesis in a manifold of intuition by logical
functions of understanding in their capacity as rules for combination of a
manifold can be seen both in terms of spatial and temporal ordering and in
terms of categories because the synthetic unity is the same in both cases and
they are brought about through a synthesis presupposing categories in an
intellectual synthesis and by abstracting the form of intuition they can be
applied to empirical intuition through a figurative synthesis.
Finally
Kant ends by again referring to transcendental unity of consciousness by
raising the question of how categories could prescribe laws to nature without
getting those laws from nature itself:
“Categories
are concepts that prescribe laws a priori to appearances, and hence to nature
regarded as the sum of all appearances (natura materialiter spectata). And now
this question arises: Since the categories are not derived from nature and do
not conform to it as their model (for then they would be merely empirical), how
are we to comprehend the fact that nature must conform to the categories, i.e.,
how can the categories determine a priori the combination of nature's manifold
without gleaning that combination from nature? Here now is the solution of this
puzzle.”
Kant’s
answer is:
“…appearances
themselves must agree with the form of a priori sensible intuition. For just as
appearances exist not in themselves but only relatively to the subject in whom
the appearances inhere insofar as the subject has senses, so the laws exist not
in the appearances but only relatively to that same being insofar as that being
has understanding.”
“As
mere appearances, however, they are subject to no law of connection whatever
except the one prescribed by the connecting power. Now what connects the
manifold of sensible intuition is imagination; and imagination depends on
understanding as regards the unity of its intellectual synthesis, and on
sensibility as regards the manifoldness of apprehension. Now all possible
perception depends on this synthesis of apprehension; but it itself, this
empirical synthesis, depends on transcendental synthesis and hence on the
categories. Therefore all possible perceptions, and hence also everything whatever
that can reach empirical consciousness, i.e., all appearances of nature, must
in regard to their combination be subject to the categories.”
Empirical
synthesis is the three-fold synthesis referred to in A-Edition Deduction and
all possible perception depends on these three-fold synthesis since they depend
on synthesis of apprehension which depends on synthesis of reproduction and
recognition and this empirical synthesis I have identified with figurative
synthesis which depends on transcendental synthesis or intellectual synthesis
presupposing the categories. Thereby categories become applicable via
figurative synthesis to empirical intuition i.e. to all possible perceptions
and whatever that is within the reach of empirical consciousness which is all
appearances in time as regards their combination are now subject to the
categories. Even though particular empirical laws are not completely derivable
from a-priori laws of combination and their discovery requires experience still
one can now say that they must be based on a-priori laws or the uniformity of
nature. Kant in this way has answered Hume.
This
is also the conclusion of the A-Edition Deduction:
“Therefore
the manner in which the manifold of sensible representation (intuition) belongs
to one consciousness precedes all cognition of the object, as the intellectual
form of that cognition, and itself amounts to a formal a priori cognition of
all objects as such insofar as they are thought (the categories). The synthesis
of this [sensible intuition] by pure imagination, and the unity of all representations
by reference to original apperception precede all empirical cognition. Hence
pure concepts of understanding are a priori possible, and in reference to
experience even necessary, only because our cognition deals with nothing but
appearances. For the possibility of appearances lies in ourselves, and their
connection and unity (in the representation of an object) is to be met with
merely in us. Hence this connection and unity must precede all experience and
must also make experience, in terms of its form, possible in the first place.
And our deduction of the categories has indeed been conducted on this basis-the
one and only possible basis.”
So
it is reasonable to conclude that both A-Edition and B-Edition Deduction give
us the same argument and establish the same conclusion that understanding is
the lawgiver or the legislator of nature.
Maimon's Objections
In this section I shall consider two objections Solomon Maimon makes against Kant’s transcendental philosophy and that puts into doubt Kant’s success in replying to Hume and his transcendental deduction. The first objection questions Kant’s solution to the problem of quid juris and the second objection argues that Kant has not answered quid facti.
Coming
to the first objection against the solution to quid juris Maimon (Essays: 32)
says:
“The
question then is: quid juris?, i.e. is the objective use of this concept
legitimate or not? - and if it is, what kind of law does it belong under:26 for
the concept is related to objects of intuition given a posteriori and hence is
certainly illegitimate with respect to the matter of intuition, which is given
a posteriori. How I then can we make it legitimate? The answer to this, or the
deduction, is as follows: we do not apply this concept directly to the matter
of intuition, but merely to its a priori form (time) and by this means to the
intuition itself. So, if I say a is the cause of b, or if a is posited, b must
also necessarily be posited, then a and b are not determined with respect to
their matter or content, but only with respect to particular determinations of
their form (the preceding and the succeeding in time): i.e. the reason that a
is a and not b is not that a has a material determination that b lacks (for
this cannot be subsumed under the a priori rule in so far as it is something a
posteriori), but rather because a has a formal determination (the preceding),
that b does not have. And it is the same with b: it does not become a
determined object different from a through a material determination but rather
through a formal determination (the succeeding) of their common form (time). So
in this case the preceding stands to the succeeding as the antecedent stands to
the consequent in a hypothetical judgement.”
We
have seen that this represents Kant’s views in Transcendental Deduction in its
second half from section 22 to 26 where Kant is concerned with showing the
applicability of the categories to empirical intuition. This answer is found
wanting by Maimon due to the following reasons:
“However,
the following question can still be raised: what determines the faculty of
judgement to think the rule-governed succession as corresponding to the rule of
the understanding itself (so that, if a comes first and b follows, but not the
reverse, then the faculty of judgement thinks the relation of cause and effect
between them), and to think each particular member of this sequence as
corresponding to each particular member of the rule of understanding (the
preceding corresponding to cause and the succeeding to effect)?”
Let
us recapitulate how Kant intends to solve the problem of quid juris and then
put Maimon’s objections in that perspective. According to Kant a subjective
succession can be distinguishes from an objective succession
(A193-196/B238-241) only if one member succeeds the other according to a rule
of understanding: “In accordance with such a rule, therefore, what precedes an
event as such must contain the condition for a rule whereby this event always
and necessarily follows. But I cannot go, conversely, from the event backward
and determine (through apprehension) what precedes.” For example fire can be
seen as the cause of smoke if the relation between the two is irreversible in
space and time. Hume’s objection to the category of causality was that no
universal and necessary connection is found between fire and smoke because when
we think of fire we do not necessarily think of smoke and vica-versa. Against
Hume it has to be shown that fire is the cause of smoke because understanding
is the author of our experience or the a-priori condition of the possibility of
experience of fire as the cause of smoke. Categories make experience possible
by determining an object of intuition for cognition but given the heterogeneity
between intuition and concepts, categories are shown to be applicable to
empirical intuition not directly but through the form under which any object of
appearance could be given to us i.e. space and time. The rule of understanding
for cause-effect relation is an application to intuition of the hypothetical
form of judgement which conditions the spatial-temporal ordering of fire and
smoke in space and time i.e. the reason we have an objective sequence in time
where fire always precedes the smoke is due to the rule of understanding. We
can legitimately apply the concepts of cause-effect to fire and smoke because
these concepts determine the objective sequence that we find in nature.
Constant experience informs us of the irreversibility of the relation between
fire and smoke, they appear to us as objects of intuition in a certain order
and this order is due to concepts that make the objects of experience possible
from which we can infer their objective validity. Hence for Kant quid juris is
solved.
So
the first question that Maimon raises is why on finding an irreversible spatial-temporal
relation between fire and smoke we are entitled to believe that the succession
of objects in this case is due to a rule of understanding i.e. why do we think
of objects of intuitions in terms of rules of understanding? Kant would say the
objects of intuitions were determined in a certain order of succession by the
pure concepts of understanding because these concepts are the condition of
possible experience since intuition itself is incapable of determining an
object of intuition and hence the need for a category based synthesis. But
Maimon is arguing that we have been given a rule that if you find two objects
in an irreversible relation of succession then think the preceding member in
terms of cause and succeeding in terms of effect, but what we still do not know
is why this relation is seen to obtain between fire and smoke and not some
other set of objects i.e. why doesn’t this rule of understanding determine
another set of objects instead of fire and smoke into the relation of cause and
effect? Why it is the case that fire and smoke in particular are found to be
joined together in the relation of cause and effect? Couldn’t the rule of
understanding have determined a different set of objects say water and smoke in
an irreversible sequential relation or determined the order of succession in
such a way that smoke always precedes fire? What is it about fire and smoke
that these objects and no other have to be thought in terms of the relation
between cause and effect? Maimon argues:
“….we
do not in fact have any insight into the ground of this correspondence, but we
are not for all that any the less convinced of the factum itself. We have
several examples of this type: for example, in the judgement that the straight
line is the shortest line between two points we have an apodictic cognition of
a correspondence between two rules that the understanding prescribes to itself
for the construction [Bildung] of a certain line: (being straight I and being
the shortest). We do not comprehend why these two must be combined in one
subject, but it is enough that we have insight into the possibility of this
correspondence (in so far as they are both a priori). It is the same here [i.e.
with the concept of cause] - we did not want to explain this correspondence
analytically by answering the question quid juris? by means of a deduction, but
merely to demonstrate its possibility since the fact is synthetically certain
through intuition; in other words we merely wanted to make this cognition into
an a priori cognition and not into a pure cognition……even if I already see the
meaning of the proposition that a straight line is the shortest between two
points (by constructing a straight line), I still do not know how I arrived at
this proposition. The reason is that
this relation does not specify merely a universal form that must be in me a
priori, but rather specifies the form or rule of a particular object (the
necessary connection between being straight and being the shortest), so that
here the question quid juris of the explanation of possibility understood in this
sense, is totally unanswerable; for how is it conceivable that the
understanding can establish with apodictic certainty that a relational concept
(the necessary being together of the two predicates) that it thinks must be
found in a given object? All that the understanding can assume with certainty
in the object is what it itself has put into it I (in so far as it has itself
produced the object itself in accordance with a self-prescribed rule), and not
anything that has come into the object from elsewhere.” (Essays: 32-33, 35-36,
emphasis mine)
That
a certain combination is found within us is a fact, we combine straight line
with shortest distance between two points and fire and smoke but the question
is what is the ground for this particular combination. Kant on the other hand
gives us a universal form that does not determine a particular form. What would
be an instance where the universal determines the particular? Maimon finds this
in the law of non-contradiction or the law of identity. When I say everything
is identical with itself this rule is applicable to all objects in general
because it applies to any object in so far as it is an object and no object can
violate this law i.e. there is no possibility of an object that is not
identical with itself and hence the law is objectively valid (Essays: 36). The
law determines the objects to which the law has to be applied. To make the
point using a legal example, we need to give a legal definition for
embezzlement of public funds and when it is seen that a particular action fits
this definition, only then does the law become applicable and a punishment is
decided in accordance with that law. Kant’s rule of understanding in contrast
is a universal form which does not tell us why particular objects or a
particular form should be counted as falling under the rule of understanding. What
is missing is the legal definition that determines the particular use of the
law and thereby determines the right of the law. We need to know how the law is
to be applied to particular cases and so it is not correct to urge against this
that Kant himself admits the indeterminacy of natural laws and accepts that
experience is required to determine which combination holds. The issue is that
a particular form or combination must be seen as determined in accordance with
a law and the universal form must contain conditions for determining the valid
use of the law in particular cases. Why a particular form should be seen as
having its ground in the law just as a particular action should be seen as
punishable under a law because it counts as embezzlement, so how does a
particular combination count as a combination due to the rule of understanding.
There is a gap between the universal and the particular that is absent in the
case of law of identity, we may replace a is a with any object for the value of
a and the law would remain applicable to that object because it applies to any
object in general but in the case of cause and effect, a is the cause of b, we
need a reason to determine why fire for instance should be replaced with a and
smoke with b i.e. we need a rule for determining the valid use of a law which
tells us why this particular combination must be seen falling under this
universal law. Kant’s definition of causal relation in terms of irreversibility
does not tell us why the rule prescribes that fire should be counted as the
cause of smoke, what is it about fire that it rather than smoke should be
counted as the cause, irreversibility of a and b does not tell us why a should
be considered as the cause of b and it is not clear what relation
irreversibility has to understanding so that a and b have to be seen as
determined by a rule of understanding, what is missing is the analogue of the
legal definition of embezzlement of funds which justifies the application of a
law to a particular action. One has to show that the action fulfils a condition
specified in the definition of embezzlement for instance to be counted as
punishable or coming under a law. The action (matter) must have the form that
is given in the definition.
We
need to understand why Maimon thinks that this problem is insoluble for Kant. To
answer this question we first need understand Maimon’s distinction between
a-priori cognition and pure cognition. A-priori cognition is a universal
cognition which is the form or condition of all particular cognitions and a
cognition is pure if it is the product of understanding alone (Essays: 34). The
proof of objective validity is the proof that the categories are the conditions
of the possibility of the object of experience. This is possible only if
understanding is applicable to objects of intuition but the problem is that
intuition is a distinct, heterogeneous source of cognition. We saw that the
answer Kant gives is that the conditions for the possibility of thought
(analytic unity of apperception which depends on synthetic unity of
consciousness) is also the condition for the object of possible experience
(unity of manifold of intuition depending on a synthesis based on a concept or
rule). So the synthetic unity found in the manifold of intuition which gives
unity to intuition also makes thought or cognition possible (A79). The role
that understanding plays in this is of bringing a combination within intuition
but it is not responsible for the genesis of the intuition itself. So understanding
even as the author of nature is responsible solely for the form of nature not
the matter of nature. Understanding gives a shape to matter but it is not the
cause of matter itself. Now Kant says that understanding can find in a
combination only what it has put there. Since it is not responsible for the
matter found in the combination it can have no right over it. This is to say in
Maimon’s terms we can have no pure cognition and so no objective validity
because the latter pertains solely to the form but there is no reason to
believe that the form is the form of the matter since the latter’s separate
existence renders it indeterminate. Again in Maimon’s terminology this
precludes understanding’s claiming any legitimacy in cognition. Secondly, we
see how no claim to truth can be made:
“For
a cognition to be true, it must be both given and thought at the same time:
given with respect to its matter (that must be given in an intuition); thought
with respect to the form that cannot be given in itself, although it receives
its meaning in an intuition (because a relation can only be thought, not
intuited). That is to say, the form must be of such a kind that it also belongs
to the symbol considered as object, as in the principles of identity and
contradiction: a is identical to a, a is opposed to not a. In this case the
question quid juris? falls completely aside because the I principles are rules
of the thinkability of things in general, without regard to their matter. On
the other hand, with synthetic propositions (whether mathematical or physical
propositions), the question quid juris? always returns, i.e. although the fact
is indubitable, its possibility remains inexplicable. This can be extended
generally to the relation between every essence [Wesen] and its properties
because the properties do not follow [folgen] analytically from the essence
according to the principle of identity (as is the case with the essential
parts) but merely synthetically, and so the possibility of the properties'
following is incomprehensible. By virtue of the factum we can at best ascribe
the highest degree of probability to propositions of this kind, but there is no
way that we can ascribe apodictic certainty to them. To be able to do so we
must assume that the (for us) synthetic connection between the subject and the
predicate must have an inner ground so that if we, for example, had insight
into [einsehen] the true essence [Wesen] of a straight line, and accordingly
could define it, then this synthetic proposition would follow analytically. On
this supposition the evident nature [Evident] of mathematics would indeed be
saved but we would then have no synthetic propositions. I So I can only think
that Kant assumed the reality of synthetic propositions merely with respect to
our limited understanding; and in this I am readily in agreement with him.”
Maimon
distinguishes between two kinds of explanation of possibility (Essays: 35). The
first explanation involves making a symbolic concept intuitive and the second
is to give a genetic explanation. If someone lacks the concept of colour we
need to show a colour to him but to someone born blind this explanation will
not be possible. In the second case we have an intuition corresponding to the
concept but the possibility of the combination remains problematic because the ground
of the combination is not known. If for instance we knew the essence of fire
then we could have deduced smoke from it and so we would have a ground for the
combination of fire and smoke but the essence is not known. Truth of a
combination requires the coincidence of form and matter i.e. what is given must
be thought in terms of the form it does actually possess which form is the
essence of the object and so any thought that thinks an object in its essence
will also be true of the object i.e. objectively valid. On the other hand Kant
gives us rules for thinkability without consideration of matter. The point can
also be understood in this way, the principle of non-contradiction is a
negative criteria of truth because it makes a number of combinations possible.
To understand the possibility of synthetic thought we need to inquire into
possibility of combination that ensures material truth just as PNC ensures
formal truth. Maimon finds Kant wanting in his proof of possibility of material
truth which is what objective validity comes down to. Unless the object itself
is seen in terms of the form it actually possesses we cannot have material
truth.
Thirdly, to
solve the problem of quid juris we need to see that a particular combination
must have an inner ground i.e. in principle it should be possible to
analytically deduce the existence of smoke from fire which would be possible if
we knew the essence of the fire. The notion of essence is peculiar because it
connects form with matter. An object is thought in terms through which it
should be thought i.e. in terms of a form it actually possesses. But if we
assume that form and matter coincide in this way then we need to do away with
the duality of sensibility and understanding and so we need to dispense with the
possibility of synthetic a-priori judgements unless it is seen as relative to
our limited understanding though in themselves they are analytic but they can
be analytic only for an infinite understanding. It is here that Maimon
introduces his ideas of understanding:
“An idea of
the understanding is the material completeness of a concept, in so far as this
completeness cannot be given in intuition. For example, the understanding
prescribes for itself this rule or condition: that an infinite number of equal
lines are to be drawn from a given point, so that by joining their endpoints
together the concept of a circle is produced. The possibility of this rule, and
hence of the concept itself, can be shown in intuition (by rotating a line
around the given point); and this also shows the formal completeness of the
concept (completeness of unity in the manifold). But its material completeness
(completeness of the manifold) cannot be given in intuition, because only a
finite number of equal lines can be drawn. So this concept is not a concept of
the understanding to which an object corresponds, but I only an idea of the
understanding, something that we can come infinitely close to in intuition by
means of the successive addition of such lines, and consequently a limit concept.”
The ideas
of understanding are the means through which pure concepts of understanding and
intuition are related to each other and the problem of quid juris solved
(Essays: 102-104). Even if pure concepts of understanding are exhibited within
intuition the possibility of synthetic a-priori judgement would still remain
problematic because till the material completeness of the complete concept is
realized within an intuition we would not have grasped its possibility. I may
know the rule for constructing a circle but till I have not drawn a circle
whereby it is given to me intuition I cannot know that the rule is possible. In
case of a complete concept its material completeness cannot be exhibited in
intuition since that would require an infinity. Thielke’s essay (2003) misses
this point since he takes Maimon’s proposal to be in line with the current
conceptualism-non-conceptualism debate and to be the same as McDowell’s who
believes that spontaneity must determine receptivity if the given is also to be
thought but from Maimon’s point of view this would establish only that objects
have to be thought in a certain way but not the coincidence of form and matter.
So contra Thielke infinite understanding is not dispensable within Maimon’s
philosophy. This is the most crucial aspect of Maimon’s thought:
“I maintain
that the representation or concept of a thing is not so heterogeneous with the
thing itself (or with what belongs to its existence) as is commonly believed.
For me, the thing itself outside its representation, or the existence of the
thing in itself, is complementum possibilitatis, i.e. what belongs to its
possibility without us having insight into it. The reality of the former stems
merely from the negation or limitation of the latter. For an infinite understanding, the thing and its representation are one
and the same. An idea is a method for finding a passage from the representation
or concept of a thing to the thing itself; it does not determines any
object of intuition but still determines a real object whose schema is the
object of intuition: for example, our understanding is the schema for the idea
of an infinite understanding. In this case, the schema indicates the idea, and
the idea indicates the thing itself or its existence, without which this idea
and its schema would themselves be impossible.” (Essays 187-188).
We need
intuition because in our limited understanding we have separated representation
from the object and as we go on closing this gap the need for intuition
decreases and in the case of an infinite understanding there is no need for
intuition because the essence of intuition and the essence of thought are
identical. Ideas of understanding contain this identity or the complete concept
of an object and they determine progress in empirical knowledge in so far as in
our limited understanding we try to approach this ideal of identity of
knowledge and object of knowledge.
This point
will become clear in responding to Paul Franks (2003) who argues that Maimon
and Kant are committed to two different projects because the former believes in
infinite intelligibility and the latter believes in finite intelligibility. The
former believes that there is a sufficient reason for everything and the series
of reason ends in absolute reason while the latter believes that there is a
reason sufficient to that thing but the series of reasons cannot terminate with
ultimate presuppositions of intelligibility. Maimon calls his system rational
dogmatism, empirical scepticism which Franks finds contradictory or atleast
inconsistent and he believes that committed as Maimon is to infinite
intelligibility he is bound to find empirical knowledge short of or really
devoid of any a-priori elements though he finds a-priori knowledge in mathematics.
I shall show that this understanding of Maimon is wrong, but now my concern is
with the blind spot Franks attributes to Maimon because of his supposedly
rationalistic commitments. His distinction between two kinds of intelligibility
has some basis atleast in what Kant says based on what he says in B145-146 for
example and in his letter to Herz in answering Maimon:
“…..all
this happens in relation I to an experiential cognition that is possible for us
only under these conditions, and so from this point of view it is subjective;
but at the same time it is objectively
valid because the objects [of cognition] are not things in themselves but mere
appearances so that the form in which they are given is also dependent on us
(according, on the one hand, to what is subjective in these objects, i.e. what
is specific to our type of intuition, and on the other hand, to the unification
of the manifold in one consciousness, i.e. to the thought and cognition of
these objects, which depends on our understanding); as a result, we can have
experience of objects only under these conditions, and if intuitions (objects
as appearances) were not in harmony with these conditions, they would be
nothing for us, i.e. not objects of cognition at all, not of [our cognition of]
ourselves nor of [our cognition of] other things…..But how such a sensible
intuition (as time and space), a form of our sensibility is possible, or such
functions of the understanding as those which logic develops out of it are
possible, or how it happens that one form is in harmony with another in a
possible cognition, [all] this is absolutely impossible for us to explain any
further, because to do so we would need another kind of intuition than the one
we have and another understanding so that we could compare our understanding to
it and moreover, an understanding that could present things determined in
themselves to each of us. But we can judge all understanding only by means of
our understanding and likewise all intuition only by means of our intuition.
And in any case it is not necessary to answer this question.” (Essays: 232-233,
emphasis mine).
Kant is
saying that experiential cognition is possible only under certain conditions
but how and why these conditions obtain within us, why we have the form of
sensibility we have and why we have the form of understanding we have is
unanswerable and if asked about the origin of these faculties, Kant says
further in the letter the best we could reply is that the ground of these
faculties might be in God (“we can cite no further ground than our divine
creator”). Would Franks count this as a violation of finite intelligibility? There
is a certain tension here, is it the case that the origin of the faculties has
an intelligible ground irrespective of whether we can know it or not and this
ground could lie in our divine creator or is it the case that the question is
unanswerable because there is no ground.
Consider
the portion highlighted in Kant’s reply to Maimon, objective validity is
possible because the objects of cognition are appearances not
things-in-themselves, unlike the latter, the former’s form is within us. Kant
is saying that because the form of appearances is within us, our concepts can
have objective validity in regard to appearances but are not applicable to
things-in-themselves because their existence is not dependent on us. It may be
asked if we could know things-in-themselves could we also know the essence of the
objects that appear to us so that we could understand why certain objects
appear to us the way they do i.e. we could perhaps tell why we have why we have
a certain form of sensibility. The question is similar to the questions raised
about colour to rationalist philosophers like Descartes and Malebranche. Is
colour something within us, a modification of the soul with no relation to
matter outside or does it have a connection with the external world? If colour
resembles something in the external world, then the latter’s impact may explain
to us why we have perception of a colour or else we must be able to deduce
colour from the essence of the soul. If Kant’s answer is no, that even if we
could somehow know things-in-themselves we would not know the hidden essence of
our appearances then these things-in-themselves are redundant. Similarly in
Franks case if finite intelligibility means we cannot know that the ultimate
presuppositions of our series of reasons terminates in intelligible grounds or
unintelligible grounds and if the latter means absence of ground which means there
would be no synthetic a-priori judgements because absence of ground is
tantamount absence of possibility. If the answer is yes, there is a ground
irrespective of we can know it or not and if Kant agrees that if we could know
things-in-themselves we could know why we have certain objects of appearances
then we see he could agree to Maimon’s view that things-in-themselves are limit
concepts. This is made possible by assuming ideas of understanding which as
Maimon says (Essays: 46) are indispensable for extending our understanding and
these ideas depend on an infinite understanding. The Ideas of understanding
contain the determinable and determinations together (Essays: 103-104) i.e. all
possible determinations an object can receive and hence the complete concept
and the thing-in-itself are in principle the same but because this identity or
the hidden essence of appearances is not known to us we see a difference
between representation and the object of representation, concept and intuition.
The coincidence of form and matter is the basis of truth and this is Maimon’s
key idea, the source of rationality within an empirical sceptical system.
Through extending our understanding we close the gap between representation and
the object. The Idea is the means of finding the passage between the two so
that the two can coincide which for a limited understanding is an ideal not a
real possibility. So contra Franks Maimon is not so much trying to saddle Kant
with a different kind of intelligibility, his infinite understanding is a means
to salvage finite cognition. So Maimon is really trying to save Kant from
himself. For Maimon the difference between sensibility and understanding is a
difference of degree of completeness (Essays: 38) and he can hold this because
he posits Ideas of understanding that allow us to reduce the gap between the
two atleast in principle. This possibility would be undercut if there is no
analytic ground for synthetic a-priori propositions so that in principle the
latter are reducible to the former and for an infinite understanding there is
an analytic connection between concepts and being or Ideas and reality.
Only an infinite
understanding could be the source of Ideas of understanding that enable our
limited understanding to extend our use of understanding:
“So the
necessity of this proposition is merely subjective, but it can have different
degrees up to the very highest degree where (as an idea) it attains objective
necessity: the whole advantage of objective necessity (whose opposite involves
a contradiction) lies merely in our conviction that it cannot be different in
any other construction, no matter what the circumstances. So if I am convinced
by means of a complete induction I that in a construction a triangle can only
have three angles (in so far as I have constructed the triangle under all
possible circumstances and other thinking beings have also constructed it under
all these circumstances, (assuming this to be possible) and found this to be
true) then it would be as good as if I were convinced by the principle of
contradiction. But this induction can never be complete so that subjective
necessity can approach ever closer to objective necessity but never completely
attain it. It is the same with our judgements about natural objects. I notice
that fire is warm (that the sensation of warmth arises in me after the representation
of the firelight or some other property of fire); this is merely what Kant
calls a perceptual judgement and according to me it cannot be turned into an
experiential judgement by means of any direct operation of the understanding as
Kant claims. If I notice this again and again, I so that these two appearances
are ever more strongly connected in me, then at last (through a complete
induction) this subjective connection reaches its highest degree, and becomes
equivalent to the objective.”
So we can
see for Maimon how rational dogmatism and empirical scepticism together are
possible? Maimon’s quid facti arguments objects that there is an objective but
non-logical necessity. With Hume Maimon believes we can doubt whether an
objective necessary connection between cause and effect can ever be found
either in experience or in thought:
“Kant
derives the concept of cause from the form of the hypothetical judgement in
logic. But we could raise the question: how does logic itself come by this
peculiar form, that if one thing a is posited, another thing b must necessarily
also be posited? It is not a form of possible things (like the form of the
categorical judgement, or the principium exclusi tertii, that is based on the
principle of contradiction that every subject A has either a or not a as a
predicate). The reason is that we do not I come across it at all in this
context where predicates are stated categorically of the subject and properties
of the essence; even if a categorical proposition can also be expressed hypothetically,
this only makes the expression not the form of the judgement itself
hypothetical. So we have presumably abstracted it from its use with real
objects, and transferred it into logic; as a result we must put the reality of
its use beyond doubt before ascribing reality to it as a form of thought in
logic; but the question is not whether we can use it legitimately, which is the
question: quid juris?, but whether the fact is true, namely that we do use it
with actual objects.”
Maimon
doubts the validity of a logical form, of hypothetical judgements. He doubts
whether we ever have a conception of necessity that is not logical and a
necessity that is not found within experience as well:
“But to
this David Hume would reply: it is not true in this case that I perceive a
necessary succession; I certainly use the same expression that others use on
this occasion, but I understand by it only I the often perceived succession of
the warming of the stone upon the presence of the fire and not the necessity of
this succession. It is merely an association of perceptions, not a judgement of
the understanding. It is just what in animals we call the expectation of
similar cases…” (Essays: 42)
The
argument is against the very possibility of synthetic a-priori judgements, so
we have only analytic judgements and synthetic a-posteriori judgements and what
seem to us to be synthetic a-priori. This radicalizes Maimon’s claim, since
synthetic a-pirori are impossible even for a limited understanding and
synthetic a-posteriori judgements which are materially incomplete presuppose
analytic a-priori. In light of this we can understand the following remark made
by Maimon:
“According
to my theory, on the other hand, the concept of cause is not merely a condition
of experience, but of perception itself. Even if the objectivity of the
[particular] sequence may be doubted, it still follows first that) no one will
doubt that the concept [of cause] is in general objective in relation to actual
perception. That is to say, I express the principle of causation in this way:
If a comes first and b is supposed to follow it (in perception), then a and b
must stand under the rule of the relation of maximum identity with one another,
because if they did not, then no reproduction of a on the perception of b would
be possible, and hence no I relation of succession between them would be
possible. Second, this rule simultaneously determines its use; i.e., I hold b
rather than c to be the effect of a because the former conforms to this rule,
but the latter does not. And if I treat the latter as also being a consequence
of a, this does not happen directly but only through a relation of simultaneity
with the former, which is a consequence of a.” (Essays: 191-192, also see
117-119, 137-138 and Letters: 172)
Empirical
knowledge is possible not due to synthetic a-priori but due to analytic
a-priori. Hence the contention of Franks (2003) and Senderowicz (2003) that no
a-priori elements are found in empirical knowledge in Maimon’s view is wrong.
It is objective necessity that is being denied in synthetic a-posteriori
knowledge but this knowledge is based on a ground as Maimon insists against
Hume and this ground simultaneously determines its right and use in case of
empirical objects. In Letters: 172, Maimon says that we can and must employ
pure a-priori cognitions to a-posteriori objects otherwise we would have no
object of cognition in this case. The existence of one is not due to another
but the cognition of effect depends on the cognition of cause and so it is
cognition and not the objects themselves that are subordinated to a-priori
knowledge. But as Ideas they determine the way we can extend our understanding
even in the case of empirical knowledge. No object of cognition is possible
without Ideas of understanding and hence even though lacking an objective
necessity our empirical knowledge remains a-posteriori yet dependent on
a-priori but pure cognitions of understanding. This way rational dogmatism and
empirical scepticism are seen to be compatible atleast by Maimon.
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