No More Learning

But in so far as the synthesis of the imagination is an act of spontaneity, which is determinative, and not, like sense, merely determinable, and which is consequently able to determine sense a priori, according to its form, conformably to the unity of appercep tion, in so far is the imagination a faculty of determining sen sibility a priori, and ita synthesis of intuitions according to the categories, must be the transcendental synthesis of the imagi
? nation. It is an operation of the understanding on sensibility, and the first application of the understanding to objects of possible intuition, and at the same time the basis for the exer cise of the other functions of that faculty. As figurative, it is distinguished from the merely intellectual synthesis, which is produced by the understanding alone, without the aid of imagination. Now, in so far as imagination is spontaneity, I sometimes call it also the productive imagination, and distin guish it from the reproductive, the synthesis of which is sub ject entirely to empirical laws, those of association, namely, and which, therefore, contributes nothing to the explanation of the possibility of a priori cognition, and for this reason belongs not to transcendental philosophy, but to psychology.
*****
We have now arrived at the proper place for explaining the paradox, which must have struck every one in our exposition of the internal sense (? 0), namely, --how this sense repre sents us to our own consciousness, only as we appear to our selves, not as wc are in ourselves, because, to wit, we uituitc
* Sec note on p. 3-1
? ? ? 94 TKANSCKNUENTAX LOOIO.
ourselves only as we are inwardly affected. Now this appears to be contradictory, inasmuch as we thus stand in a passive re lation to ourselves; and therefore in the systems- of psychology, the internal sense is commonly held to be one with the faculty of apperception, while we, on the contrary, carefully distin guish them.
That which determines the internal sense is the under standing, and its original power of conjoining the manifold of intuition, that is, of bringing this under an apperception (upon which rests the possibility of the understanding itself). Now, as the human understanding is not in itself a faculty of intuition, and is unable to exercise such a power, in order to conjoin, as it were, the manifold of its own intuition, the syn thesis of understanding considered per se, nothing but the unity of action, of which, as such, self-conscious, even apart from sensibility, by which, moreover, able to determine our internal sense in respect of the manifold which may be presented to according to the form of sensuous intuition. Thus, under the name of transcendental synthesis of imagi nation, the understanding exercises an activity upon the passive subject, whose faculty and so we are- right in saying that the internal sense affected thereby. Apperception and its synthetical unity are by no means one and the same with the internal sense. The former, as the source of all our synthetical conjunction, applies, under the name of the categories, to the manifold of intuition in general, prior to all sensuous intuition of objects. The internal sense, on the contrary, contains merely the form of intuition, but without any synthetical con
junction of the manifold therein, and consequently does not con tain any determined intuition, which possible only through consciousness of the determination of the manifold by the transcendental act of the imagination (synthetical influence of the understanding on the internal sense), which have named figurative synthesis.
This we can indeed always perceive in ourselves. We can not cogitate geometrical line without drawing in thought, nor circle without describing nor represent the three dimensions of space without drawing three lines from the same point perpendicular to one another. We cannot even cogitate time, unless, in drawing straight line (which to
* Length, breadth, and thickness. -- Tr. In difftr<<ut piwea. --7>
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? DEDUCTION OF THJ5 OATIdOBIM. 96
serve as the external figurative representation of time), we fix our attention on the act of the synthesis of the manifold, thereby we determine successively the internal sense, and
thus attend also to the succession of this
determination,
Motion as an act of the subject (not as a determination of an
object),* consequently the synthesis of the manifold in space,
if we make abstraction of space and attend merely to the act by which we determine the internal sense according to its form, is that which produces the conception of succession. The un derstanding, therefore, does by no means find in the internal sense any such synthesis of the manifold, but produces in that affects this sense. At the same time how [the]
who think distinct from the which intuites itself (other modes of intuition being cogitable as at least possible), and yet one and the same with this latter as the same subject how, therefore, am able to say " as an intelligence and
thinking subject, cognize myself as an object thought, so far as am, moreover, given to myself in intuition, --only, like other phsenomena, not as am in myself, and as considered the
understanding, but merely as appear," -- question that has in neither more nor less difficulty than the question, -- " How can be an object tomyself," or this, -- "How can be an object of my own intuition and internal perceptions. " But that such must be the fact, we admit that space merely pure form of the phenomena of external sense, can be clearly proved by the consideration that we cannot represent time, which not an object of external intuition, in any other way than under the image of line, which we draw in thought, mode of re presentation without which we could not cognize the unity of its dimension, and also that we are necessitated to take our determination of periods of time, or of points of tin. e, for all our internal perceptions from the changes which we perceive in outward things. follows that we must arrange the determinations of the internal sense, as phenomena in time, exactly in the same manner as we arrange those of the
Motion of an object in apace does not belong to pure science, con sequently not to geometry because, that thing moveable cannot be known priori, but only from experience. But motion, considered is tin ietcriptim of space, pure act of the successive synthesis of the rcani fold in external intuition by means of productive imagination, and
not only to geometry, but even to transcendental philosophy.
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external senses in space. And consequently, if we grant
this latter, that by means of them we know objects only in so far as we are affected externally, we must also con fess, with regard to tha internal sense, that by means of it we intuite ourselves only as we are internally affected by ourselves; in other words, as regards internal intuition, we cognize our own subject only as phenomenon, and not as it is in itself. *
? 21.
On the other hand, in the transcendental synthesis of the manifold content of representations, consequently in the syn thetical unity of apperception, I am conscious of myself, not as I appear to myself, nor as I am in myself, but only that I am. This representation is a Thought, not an Intuition. Now, as in order to cognize ourselves, in addition to the act of thinking, which subjects the manifold of every possible intui tion to the unity of apperception, there is necessary a deter minate mode of intuition, whereby this manifold is given ; although my own existence is certainly not mere phenomenon
respecting
? (much less mere illusion), the determination of my existence f
* I do not see why so much difficulty should be found in admitting that our internal sense is affected by ourselves. Every act of attention exemplifies it. In such an act the understanding determines the internal sense by the synthetical conjunction which it cogitates, conformably to the internal intuition which corresponds to the manifold in the synthesis of the understanding. How much the mind is usually affected thereby every one will he able to perceive in himself.
f The / think expresses the act of determining my own existence. My existence is thus already given by the act of consciousness ; but the mode in which I must determine my existence, that is, the mode in which I must place the manifold belonging to my existence, is not thereby given. For this purpose intuition of self is required, and this intuition possesses a form given a priori, namely, time, which is sensuous, and belongs to our receptivity of the determinable. Now, as I do not possess another in tuition of self which gives the determining in me (of the spontaneity of which I am conscious), prior to the act of determination, in the same
manner as time gives the determinable, it is clear that I am unable to determine my own existence as that of a spontaneous being, but I am only able 10 represent to myself the spontaneity of my thought, that of my determination, and my existence remains ever determinable in
purely sensuous manner, that to say, like the existence of phenomenon.
But because of this spontaneity that call myself an intelligent.
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? DEDUCTION OF THI CATEGOBIXB. 97
can tnly take place conformably to the form of the internal sense, according to the particular mode in which the mani fold which I conjoin is giren in internal intuition, and I have therefore no knowledge of myself as I am, but merely as I appear to myself. The consciousness of self is thus very far from a knowledge of self, in which I do not use tiie categories, whereby I cogitate an object, by means of the conjunction of the manifold in one apperception. In the same way as I require^ in order to the cognition of an object distinct from myself, hot only the thought of an object in general (in the category), but also an intuition by which to determine that general conception, in the same way do I require, in order to the cognition of myself, not only the con sciousness of myself or the thought that I think myself, but in addition an intuition of the manifold in myself, by which to determine this thought. It is true that I exist as an intel ligence which is conscious only of its faculty of conjunction or synthesis, but subjected in relation to the manifold which this intelligence has to conjoin to a limitative conjunction called the internal sense. My intelligence (that can render that conjunction or synthesis perceptible only accord ing to the relations of time, which are quite beyond the proper sphere of the conceptions, of the understanding, and conse quently cognize itself in respect to an intuition (which cannot possibly be intellectual, nor given the understanding), only as appears to itself, and not as would cognize itself, its intuition were intellectual.
22.
Transcendental Deduction the universally possible employ ment in experience the Pure Conceptions of the Under standing.
In the metaphysical deduction, the priori origin of the categories was proved by their complete accordance with the general logical functions of thought in the transcendental deduction was exhibited the possibility of the categories as a priori cognitions of objects of an intuition in general 16 and 17). At present we are about to explain the possibility of cognizing, priori, means of the categories, all objects which can possibly be presented to our senses, not, indeed, according to the form of their intuition, but according to the
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laws of their conjunction or synthesis, and thus, as it were, of prescribing laws to nature, and even of rendering nature pos sible. For if the categories were adequate to this task, it would not be evident to us why everything that is presented to our senses must be subject to those laws which have an ipriori origin in the understanding itself.
I premise, that by the term synthesis of apprehension, I understand the combination of the manifold in an empirical
intuition, whereby perception, that empirical consciousness of the intuition (as phsenomenon), possible.
We have priori forms of the external and internal sensuous intuition in the representations of space and time, and to these
must the synthesis of apprehension of the manifold in
menon be always conformable, because the synthesis itself can only take place according to these forms. But space and time are not merely forms of sensuous intuition, but intuitions them selves (which contain manifold), and therefore contain priori the determination of the unity of this manifold. *
the Trans. ^Esthetic. ) Therefore unity of the synthesis of the manifold without or within us, consequently also con junction to which all that to be represented as determined in space or time must correspond, given priori along with
? phseno
(See
(not in) these intuitions, as the condition of the synthesis of
all apprehension of them. But this synthetical unity can be no other than that of the conjunction of the manifold of given intuition in general, in primitive act of consciousness, according to the categories, but applied to our sensuous intui tion. Consequently all synthesis, whereby alone even per ception possible, subject to the categories. And, as experience
Space represented as an object (as geometry really requires tc be) contain. , more than the mere form of the intuition namely, com bination of the manifold given according to the form of sensibility into representation that can be intuited so that the form the intuition gives us merely the manifold, but the formal intuition gives unity of representation. In the . Esthetic regarded this unity as belonging entirely to sensibility, for the purpose of indicating that antecedes all conceptions, although presupposes synthesis which does not belong to sense, through which alone, however, all our conceptions of space and time are possible. For as by means of this unity alone (the understanding deter mining the sensibility) space and time arc given as intuitions, follows that the unity of this intuition priori belongs to space and time, tod sot to the concef iun of the understanding HO).
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ia cognition by means of conjoined perceptions, the categories
are conditions of the possibility of experience, and an there
fore valid a priori for all objects of experience. ? ****
When, then, for example, I make the empirical intuition of
a house by apprehension of the manifold contained therein
into a perception, the necessary unity of space and of my external sensuous intuition lies at the foundation of this act, and I, as it were, draw the form of the house conformably to this synthetical unity of the manifold in space. But this very synthetical unity remains, even when I abstract the form of space, and has its seat in the understanding, and is in fact the category of the synthesis of the homogeneous in an intui tion ; that is to say, the category of quantity, to which the aforesaid synthesis of apprehension, that the perception, must be completely conformable. *
To take another example, when perceive the freezing of water, apprehend two states (fluidity and solidity), which as such, stand toward each other mutually in relation of time. But in the time, which place as an internal intuition, at the
? foundation of this phenomenon, represent to myself syn thetical unity of the manifold, without which the aforesaid relation could not be given in an intuition as determined (in regard to the succession of time). Now this synthetical unity, as the priori condition under which conjoin the manifold of an intuition, make abstraction of the permanent form of my internal intuition (that to say, of time), the category of cause, by means of which, when applied to my sensibility,
and so in all other cases. *****
determine everything that occurs according to relations
time. Consequently apprehension in such an event, and the
event itself, as far as regards the possibility of its peremption,
stands under the conception of the relation of cause and effect:
Categories are conceptions which prescribe laws priori to
In this manner proved, that the synthesis of apprehension, which empirical, must necessarily be conformable to the synthesis of apper
ception, which intellectual, and contained priori in the category. It one and the same spontaneity which at one time, under the name of ima gination, at another under that of understanding, produces conjunction in the manifold of intuition.
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? 100 TRAUSCEKDEHTAL LOGIC.
phenomena, consequently to nature as the complex of all phenomena (natura materialiter tpectata). And now the question arises -- inasmuch as these categories are not derived from nature, and do not regulate themselves according to her as their model (for in that case they would be empirical)-- how it is conceivable that nature must regulate herself accord ing to them, in other words, how the categories can determine a priori the synthesis of the manifold of nature, and yet not derive their origin from her. The following is the solution of this enigma.
? It is not in the least more difficult to conceive how the laws of the phenomena of nature must harmonize with the understanding and with its ti priori form -- that its culty of conjoining the manifold -- than to understand how the phenomena themselves must correspond with the
priori form of our sensuous intuition. For laws do not exist in the phenomena any more than the phenomena exist as things in themselves. Laws do not exist except by re lation to the subject in which the phenomena inhere, so far as possesses understanding, just as phenomena have no existence except relation to the same existing subject so far as has senses. To things as things in themselves, con- formability to law must necessarily belong independently of on understanding to cognize them. But phenomena are only representations of things which are utterly unknown in re spect to what they are in themselves. But as mere repre sentations, they stand under no law of coi junction except that which the conjoining faculty prescribes. Now that which conjoins the manifold of sensuous intuition imagination,
mental act to which understanding contributes unity of intellectual synthesis, and sensibility, manifoldness of appre hension. Now as all possible perception depends on the syn thesis of apprehension, and this empirical synthesis itself on the transcendental, consequently on the categories, evident that all possible perceptions, and therefore everything that can attain to empirical consciousness, that all phenomena of nature, must, as regards their conjunction, be subject to the categories. And nature (considered merely as raiture in general) dependent on them as the original ground of her necessary con formability to law (as natura formaliter tpectata). But the pure faculty (of the understanding) of prescribing laws
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? RESULT OF THE DEDUCTIOIT.
101
d priori to phenomena by means of mere categories, is not competent to enounce other or more laws than those on which a nature in general, as a conformability to law of phenomeua of space and time, depends. Particular laws, inasmuch as they concern empirically determined phsenomena, cannot be entirely deduced from pure laws, although they all stand under them. Experience must be superadded in order to know these particular laws ; but in regard to experience in
{general, and everything that can be cognized as an object I hereof, these <i priori laws arc our only rule and guide.
? 23.
Result of this Deduction of the Conceptions of the Under standing.
We cannot think any object except by means of the catego ries ; we cannot cognize any thought <<xcept by means of in tuitions corresponding to these conceptions. Now all our in tuitions are sensuous, and our cognition, in so far as the object of it is given, is empirical. But empirical cognition is expe rience ; consequently no h priori cognition is possible for us, except of objects of possible experience. *
But this cognition, which is limited to objects of experience, is not for that reason derived entirely from experience, but-- and this is asserted of the pure intuitions and the pure con ceptions cf the understanding -- there are, unquestionably, elements of cognition, which exist in the mind a priori. Now there are only two ways in which a necessary harmony of ex perience with the conceptions of its objects can be cogitated. Either experience makes these conceptions possible, or the conceptions make experience possible. The former of these
* Lest my readers should stumble tt this assertion, and the conclusions that may be too rashly drawn from it, I must remind them that the categories in the act of thought are by no means limited by the conditions of our sensuous intuition, but have nn unbounded sphere of action. It is only the cognition of the object of thought, the determining of the object, which requires intuition. In the absence of intuition, our thought of an object may still have true and useful consequences in regard to the exer. cise of reason by the subject. Hut as this exercise of reason is not always directed on the determination of the object, in other words, on cognition thereof, but also on the determination of the subject and its volition, I do not intend to treat of it in this place,
? ? ? ? 102 TRAJTBOOTDBWTAL LOCRO.
statements will not hold good with respect to the categories (nor in regard to pure sensuous intuition), for they are ctprion
conceptions, and therefore independent of experience. The assertion of an empirical origin would attribute to them a sort of generatio eequivoea. Consequently, nothing remains but to adopt the second alternative (which presents us with a system, as it were, of the Epigenesis of pure reason), namely, that on the part of the understanding the categories do contain the grounds of the possibility of all experience. But with respect to the questions how they make experience possible, and what are the principles of the possibility thereof with which they pre
sent us in their application to phsenomena, the following sec tion on the transcendental exercise of the faculty of judgment
? will inform the reader.
It is quite possible that some one may propose a species of
preeformation-system of pure reason --a middle way between the two--to wit, that the categories are neither innate and
first & priori principles of cognition, nor derived from expe rience, but are merely subjective aptitudes for thought implanted in us contemporaneously with our existence, which were so ordered and disposed by our Creator, that their exercise perfectly harmonizes with the laws of nature which
Now, not to mention that with such an hypothesis it is impossible to say at what point we
must stop in the employment of predetermined aptitudes, the fact that the categories would in this case entirely lose that character of necessity which is essentially involved in the very conception of them, is a conclusive objection to it. The conception of cause, for example, which expresses the necessity of an effect under a presupposed condition, would be false, if it rested only upon such an arbitrary subjective necessity of uniting certain empirical representations" according to such a rule of relation. 1 could not then say-- The effect is connected with its cause in the object (that necessarily)," but only, " am so constituted that can think this representa tion as so connected, and not otherwise. " Now this just what the sceptic wants. For in this case, all our knowledge,
depending on the supposed objective validity of our judg ment, nothing but mere illusion nor would there be want
ing people who would deny any such subjective necessity respect to themselves, though they must feel it. At all events,
regulate experience.
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? ANALYTIC OF PRINCIPLES. 103
we could not dispute with any one on that which merely de pends on the manner in which his subject is organized.
Short view of the above Deduction.
The foregoing deduction is an exposition of the pure con
ceptions of the understanding (and with them of all theo
and space as original forms of sensibility. *****
I consider the division by paragraphs to be necessary only up to this point, because we had to treat of the elementary
retical a priori cognition), as principles of the possibility of
experience, but of experience as the determination of all phe-
nomena in space and time in general-- of experience, finally,
from the principle of the original synthetical unity of apper
ception, as the form of the understanding in relation to time
? As we now proceed to the exposition of the em ployment of these, I shall not designate the chapters in this manner any further.
TRANSCENDENTAL ANALYTIC
BOOK II. ANALYTIC OF PRINCIPLES
General logic is constructed upon a plan which coincides exactly with the division of the higher faculties of cognition. These are, Underttanding, Judgment, and Reason. This science, accordingly, treats in its analytic of Conceptions, Judgments, and Conclusions in exact correspondence with the functions and order of those mental powers which we include generally under the generic denomination of understanding.
As this merely formal logic makes abstraction of all con tent of cognition, whether pure or empirical, and occupies itself with the mere form of thought (discursive cognition), it must contain in its analytic a canon for reason. For the form of reason has its law, which, without taking into consi deration the particular nature of the cognition about which it is employed, can be discovered a priori, by the simple analysis of the action of reason into its momenta.
Transcendental logic, limited as it is to a determinate con tent, that of pure d priori cognitions, tc wit, cannot imitate general logic in this division. For it u evident that the
conceptions.
? ? ? 104 TRAN8CEITDENTAL LOGIC.
transcendental employment of reason is not objectively valid, and therefore does not belong to the logic of truth (that
to analytic), but as logic of illusion, occupies particular department in the scholastic system under the name of tran scendental Dialectic.
Understanding and judgment accordingly possess in tran scendental logic canon of objectively valid, and therefore true exercise, and are comprehended in the analytical depart ment of that logic. But reason, in her endeavours to arrive
priori means at some true statement concerning objects, and to extend cognition beyond the bounds of possible expe rience, altogether dialectic, and her illusory assertions cannot be constructed into canon such as an analytic ought to contain.
Accordingly, the analytic of principles will be merely canon for the faculty of judgment, for the instruction of this
faculty in its application to phenomena of the pure concep tions of the understanding, which contain the necessary con dition for the establishment of priori laws. On this account, although the subject of the following chapters the especinl principles of understanding, shall make use of the term " Doctrine of the faculty judgment," in order to define more particularly my present purpose.
INTRODUCTION.
OF THE TRANSCEXBXNTAL FACULTY OF JUDGMENT IS GENEKAL.
If understanding in general be defined as the faculty of laws or rules, the faculty of judgment may be termed the faculty of subsumption under these ruin that of dis tinguishing whether this or that does or does not stand under
given rule (casus data; legis). General logic contains no directions or precepts for the faculty of judgment, nor can contain any such. For as makes abstraction of alt con tent cognition, no duty left for except that of ex posing analytically the mere form of cognition in conceptions, judgments and conclusions, and of thereby establishing formal rules for all exercise of the understanding. Now this logic
wished to give some general direction how we should sub sume under these rules, that how we should distinguish
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? ANALYTIC 01 PBTJCCTPLEB. 105
whether this or that did or did not stand under them, thia again, could not be done otherwise than by means of a rule. But this rule, precisely because it is a rule, requires for itself direction from the faculty of judgment. Thus, it is evident, that the understanding is capable of being instructed by rules, but that the judgment is a peculiar talent, which does not, and cannot require tuition, but only exercise. This faculty is therefore the specific quality of the so-called mother- wit, the want of which no scholastic discipline can compen sate.
For although education may furnish, and, as it were, ingraft upon a limited understanding rules borrowed from other minds, yet the power of employing these rules cor rectly must belong to the pupil himself; and no rule which we can prescribe to him with this purpose, is, in the absence or deficiency of this gift of nature, secure from misuse. * A physician therefore, a judge or a statesman, may have in his head many admirable pathological, juridical, or political rules, in a degree that may enable him to be a profound teacher in his particular science, and yet in the application of these rules, he may very possibly blunder,--either because he is wanting in natural judgment (though not in understand ing), and whilst he can comprehend the general in abstracto, cannot distinguish whether a particular case in concreto ought to rank under the former ; or because his faculty of judgment has not been sufficiently exercised by examples and real practice. Indeed, the grand and only use of ex amples, is to sharpen the judgment. For as regards the correctness and precision of the insight of the understand ing, examples are commonly injurious rather than other wise, because, as casus in terminis, they seldom adequately fulfil the Conditions of the rule. Besides, they often weaken the power of our understanding to apprehend rules or laws in their universality, independently of particular circum stances of experience ; and hence, accustom us to employ
* Deficiency in judgment is properly that which is called stupidity ; and for such a failing we know 110 remedy. A dull or narrow-minded person, to whom nothing is wanting but a proper degree of understand ing, may be improved by tuition, even so far as to deserve the epithet of learned. But as such persons frequently labour under a deficiency in the faculty of judgment, it is not uncommon to find men extremely learned, who in the application of their science betray to a lamentable degree this U remediable want.
? ? ? ? 106 TRANSCEJTDEKTAX ANALTTIC.
them more as formula: than a<< principles. Examples an thus the go-cart of the judgment, which he who is naturally deficient in that faculty, cannot afford to dispense with.
But although general logic cannot give directions to the faculty of judgment, the case very different as regards trans cendental logic, insomuch that appears to be the especial duty of the latter to secure and direct, means of determinate rules, the faculty of judgment in the employment of the pure
faculty of judgment (lapsus judicii) the employment of the few pure conceptions of the understanding which we possess, although its use in this case purely negative, philosophy
called upon to apply all its acuteness and penetration.
But transcendental philosophy has this peculiarity, that besides indicating the rule, or rather the general condition for rules, which given in the pure conception of the understand ing, can, at the same time, indicate priori the case to which the rule must be applied. The cause of the superiority which, in this respect, transcendental philosophy possesses above all other sciences except mathematics, lies in this -- treats of conceptions which must relate priori to their objects, whose objective validity consequently cannot be demonstrated posteriori, and at the same time, under the obligation of presenting in general but sufficient tests, the conditions under which objects can be given in harmony with those con ceptions otherwise they would be mere logical forms, without content, and not pure conceptions of the understanding.
Our transcendental doctrine of the faculty of judgment will contain two chapters. The first wild treat of the sensuous condition under which alone pure conceptions of the under standing can be employed, --that of the schematism of the pure understanding. The second will treat of those synthetical judgments which are derived priori from pure conceptions of the understanding under those conditions, and which lie
priori at the foundation of all other cognitions, that
to say, will treat of the principles of the pure understanding,
For, as doctrine, that as an endeavour to
understanding.
enlarge the sphere of the understanding in regard to pure priori cognitions, philosophy worse than useless, since from all the attempts hitherto made, little or no ground has been gained. But, as critique, order to guard against the mistakes of the
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? OT THE SCHEMATISM OF THE CATEGORIES.
107
TRANSCENDENTAL DOCTRINE OF THE FACULTY OF JUDGMENT,
On, Analytic of Principles.
CHAPTER I.
Of the Schematism of the Pure Conceptions of the Understanding.
In all subsumptions of an object under a conception, the representation of the object must be homogeneous with the conception ; in other words, the conception must contain that which is represented in the object to be subsumed under it. For this is the meaning of the expression, An object is con tained under a conception. Thus the empirical conception of a plate is homogeneous with the pure geometrical conception of a circle, inasmuch as the roundness which is cogitated in the former is intuited in the latter.
But pure conceptions of the understanding, when compared with empirical intuitions, or even with sensuous intuitions in
general, are quite heterogeneous, and never can be discovered in any intuition. How then is the tubsumption of the latter under the former, and consequently the application of the cate gories to phenomena, possible 1 -- For it is impossible to say, for example, Causality can be intuited through the senses, and is contained in the phsenomenon. --This natural and important question forms the real cause of the necessity of a transcen dental doctrine of the faculty of judgment, with the purpose, to wit, of shewing how pure conceptions of the understand ing can be applied to phenomena. In all other sciences, where the conceptions by which the object is thought in the general are not so different and heterogeneous from those which represent the object in eoncreto--as it is given, it is quite unnecessary to institute any special inquiries concerning the application of the former to the latter.
Now it is quite clear, that there must be some third thing, which on the one side is homogeneous with the category, and with the phsenomenon on the other, and so makes the applica tion of the fo rmer to the latter possible. This mediating repre
? ? ? ? 108 &KAXYTI0 Or PBIHOTPLBS.
eentation must be pure (without any empirical content), and yet must on the one side be intellectual, on the other sensuous. Such a representation is the transcendental schema.
The conception of the understanding contains pure syn thetical unity of the manifold in general. Time, as the formal condition of the manifold of the internal sense, oonsequently of the conjunction of all representations, contains a priori a manifold in the pure intuition. Now a transcendental deter mination of time is so far homogeneous with the category, which constitutes the unity thereof, that it is universal, and rests upon a rule a priori. On the other hand, it is so far ho mogeneous with the phenomenon, inasmuch as time is con tained in every empirical representation of the manifold. Thus an application of the category to phenomena becomes possible. by means of the transcendental determination of time, which, as the schema of the conceptions of the understanding, mediates the subsumption of the latter under the former.
After what has been proved in our deduction of the catego ries, no one, it is to be hoped, can hesitate ns to the proper de cision of the question, whether the employment of these pure conceptions of the understanding ought to be merely empirical or also transcendental ; in other words, whether the categories, as conditions of a possible experience, relate h priori solely to phenomena, or whether, as conditions of the possibility of things in general, their application can be extended to objects as things in themselves. For we have there seen that con ceptions are quite impossible, and utterly without signification, unless either to them, or at least to the elements of which they consist, an object be given ; and that, consequently, they cannot possibly apply to objects as things in themselves without re gard to the question whether and how these may be given to us ; and further, that the only manner in which objects can be given to us, is by means of the modification of our sensibility ; and finally, that pure h priori conceptions, in addition to tli? function of the understanding in the category, must contain a priori formal conditions of sensibility (of the internal sense, namely), which again contain the general condition under which alone the category can be applied to any oliject. This formal and pure condition of sensibility, to which the conception of tho understanding is restricted in its employment, we shall name the schema of the conception of th-' understandinij, and thf
? ? ? ? Or THJS SCHEMATISM Or THE CATEGORIES. 109
procedure of the understanding with these schemata, we shall oull the Schematism of the pure understanding.
The Schema is, in itself, always a mere product of the ima
gination. * But as the synthesis of imagination has for its aim no single intuition, but merely unity in the determination of sen
sibility, the schema is clearly distinguishable from the image. Thus, if I place five points one after another, this is an image of the number five. On the other hand, if I only think a number in general, which may be either five or a hun dred, this thought is rather the representation of a method of representing in an image a sum g. thousand) in con formity with conception, than the image itself, an image which should find some little difficulty in reviewing, and comparing with the conception. Now this representation of general procedure of the imagination to present its image to conception, call the schema of this conception.
In truth, not images of objects, but schemata, which lie at the foundation of our pure sensuous conceptions. No image could ever be adequate to our conception of triangle general. For the geueralness of the conception never could attain to, as this includes under itself all triangles, whether
right-angled, acute-angled, &c. , whilst the image would always be limited to single part of this sphere. The schema of the triangle can exist nowhere else than in thought, and indi cates rule of the synthesis of the imagination in regard to pure figures in space. Still less an object of experience, or an image of the object, ever adequate to the empirical concep tion. On the contrary, the conception always relates imme diately to the schema of the imagination, as rule for the de termination of our intuition, in conformity with certain ge neral conception. The conception of dog indicates rule, according to which my imagination can delineate the figure of
four-footed animal in general, without being limited to any particular individual form which experience presents to me, or indeed to any possible image that can represent to myself in eoncreto. This schematism of our understanding in regard to phenomena and their mere form, an art, hidden in the depths of the human soul, whose true modes of action we shall only with difficulty discover and unveil. Thus much only enii
Sec note at 34. -- IV.
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we say : --The image is a product of the empirical faculty of the productive imagination, --the schema of sensuous conceptions (of figures in space, for example) is a product, and, as it were, a monogram of the pure imagination a priori, whereby and according to which images first become possible, which, however, can be connected with the conception only mediately by means of the schema which they indicate, and are in themselves never fully adequate to it. On the other hand, the schema of a pure conception of the understanding is something that cannot be reduced into any image, --it is nothing else than the pure synthesis expressed by the category, con formably to a rule of unity according to conceptions. It is a transcendental product of the imagination, a product which concerns the determination of the internal sense,
? according to conditions of its form (time) in respect to all representa
tions, in so far as these representations must be conjoined H priori in one conception, conformably to the unity of apper
ception.
Without entering upon a dry and tedious analysis of the
essential requisites of transcendental schemata of the pure conceptions of the understanding, we shall rather proceed at once to give an explanation of them according to the order of the categories, and in connection therewith.
For the external sense the pure image of all quantities (quantorum) is space ; the pure image of aU objects of sense in general, is time. But the pure schema of quantity (quantila- tis) as a conception of the understanding, is number, a re presentation which comprehends the successive addition of one to one (homogeneous quantities). Thus, number is no thing else than the unity of the synthesis of the manifold in a homogeneous intuition, by means of my generating time* it self in my apprehension of the intuition.
Reality, in the pure conception of the understanding, is that
which corresponds to a sensation in general ; that, conse
quently, the conception of which indicates a being (in time). Negation is that the conception of which represents a not-
The opposition of these two consists there fore in the difference of one and the same time, as a time filled or a time empty. Now as time is only the form of intuition,
>> I generate time because I generate succession, namely, in the sue- ecMive addition of one to one. -- Tr.
being (in time).
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consequently of objects as plienomena, that which in objects corresponds to sensation is the transcendental matter of all objects as things in themselves {Sachheit, reality). Now every sensation has a degree or quantity by which it can fill time, that is to say, the internal sense in respect of the representation of an object, more or less, until it vanishes into nothing (=0= negatio). Thus there is a relation and connection between reality and negation, or rather a transition from the former to the latter, which makes every reality representable to us as a quantum ; and the schema of a reality as the quantity of something in so far as it fills time, is exactly this continuous and uniform generation of the reality in time, as we descend in time from the sensation which has a certain degree, down to the vanishing thereof, or gradually ascend from negation to the quantity thereof.
The schema of substance is the permanence of the real in time ; that the representation of as substratum of the empirical determination of time substratum which there fore remains, whilst all else changes. (Time passes not, but in
passes the existence of the changeable. To time, therefore,
which itself unchangeable and permanent, corresponds that which in the phenomenon unchangeable in existence, that
substance, and only by that the succession and co existence of phsenomena can be determined in regard to time. ) The schema of cause and of the causality of thing the
real which, when posited, always followed by something else. consists, therefore, in the succession of the manifold, in so
far as that succession subjected to rule.
The schema of community (reciprocity of action and re
action), or the reciprocal causality of substances in respect of their accidents, the co-existence of the determinations of the one with those of the other, according to general rule.
The schema of possibility the accordance of the synthesis
of different representations with the conditions of time in ge
neral (as, for example, oppopites cannot exist together at the same time in the same thing, but only after each other), and therefore the determination of the representation of thing
at any time.
The schema of reality* existence in determined time.
WWklichkeit. Id the table of categoric! called Bxiitenc* (Dueyn). -- Tr.
OF TlIE SCHEMATISM Of THE CATESORIEB.
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The schema of necessity is the existence of an object in All time.
It is clear, from all this, that the schema of the category of
quantity contains and represents the generation (synthesis) of time itself, in the successive apprehension of an object ; the schema of quality the synthesis of sensation with the repre sentation of time, or the filling up of time ; the schema of relation the relation of perceptions to each other in all time (that according to rule of the determination of time) and finally, the schema of modality and its categories, time itself, as the correlative of the determination of an object --whe ther does belong to time, and how. The schemata, there fore, are nothing but priori determinations of time according to rules, and these, in regard to all possible objects, following the arrangement of the categories, relate to the series in time,
the content in time, the order in time, and finally, to the com
plex or totality in time.
Hence apparent that the schematism of the under
standing, by means of the transcendental synthesis of the ima gination, amounts to nothing else than the unity of the mani fold of intuition in the internal sense, and thus indirectly to the
dimity of apperception, as function corresponding to the in ternal sense receptivity). Thus, the schemata of the pure conceptions of the understanding are the true and only condi tions whereby our understanding receives an application to objects, and consequently significance. Finally, therefore, the categories are only capable of empirical use, inasmuch as they serve merely to subject phenomena to the universal rules of synthesis, means of an u priori necessary unity (on account of the necessary union of all consciousness in one original ap
? and so to render them susceptible of complete connection in one experience. But within this whole of pos sible experience lie all our cognitions, and in the universal re lation to this experience consists transcendental truth, which antecedes all empirical truth, and renders the latter possible.
however, evident at first sight, that although the schemata of sensibility are the sole agents in realizing the categories, they do, nevertheless, also restrict them, that they limit the categories by conditions which lie beyond the
sphere of . understanding --namely, in sensibility. Hence the bchcma properly only the phenomenon, or the sensuous
perception)
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conception of an object in harmony with the category. (Au- merus est quantitas phenomenon,* --sensatio realitas phseno- menon ; constant et perdurabile rerum substantia phenomenon --mternitas, neeetsitas, phsenomena, &c. ) Now, if we re move a restrictive condition, we thereby amplify, it appears,
the formerly limited conception. In this way, the categories in their pure signification, free from all conditions of sensibi lity, ought to be valid of things as they are, and not, as the schemata represent them, merely as they appear, and consequently the categories must have a significance far more extended, and wholly independent of all schemata. In truth, there does always remain to the pure conceptions of the under standing, after abstracting every sensuous condition, a value and significance, which however, merely logical. But in this case, no object given them, and therefore they have no meaning sufficient to afford us conception of an object. The notion of substance, for example, we leave out the sensuous determination of permanence, would mean nothing more than
something which can be cogitated as subject, without the possibility of becoming predicate to anything else. Of this representation can make nothing, inasmuch as does not indicate to me what determinations the thing possesses which must thus be valid as premier subject. Consequently, the categories, without schemata, are merely functions of the un
derstanding for the production of conceptions, but do not represent any object. This significance they derive from sensibility, which at the same time realizes the understanding and restricts it.
TRANSCENDENTAL DOCTRINE OF JUDGMENT, OB ANALYTIC OF PRINCIPLES.
CHAPTER II.
System of all Princifles of the Pure Understanding.
In the foregoing chapter we have merely considered the ge neral conditions under which alone the transcendental faculty of judgment justified in using the pure conceptions of the
onderstanding for synthetical judgments. Our duty at pre- Phenomenon heie an adjective. --Tram,
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sent is to exhibit in systematic connection those judgments which the understanding really produces d priori. For this purpose, our table of the categories will certainly afford us the
natural and safe guidance. For it is precisely the categories whose application to possible experience must constitute all pure & priori cognition of the understanding ; and the rela tion of which to sensibility will, on that very account, pre sent us with a complete and systematic catalogue of all the transcendental principles of the use of the understanding.
Principles <k priori are so called, not merely because they contain in themselves the grounds of other judgments, but also because they themselves are not grounded in higher and more general cognitions. This peculiarity, however, does not raise them altogether above the need of a proof. For although there could be found no higher cognition, and therefore no objective proof, and although such a principle rather serves as the foundation for all cognition of the object, this by no means hinders us from drawing a proof from the subjective sources of the possibility of the cognition of an object. Sucb a proof is necessary moreover, because without it the prin ciple might be liable to the imputation of being a mere gratu itous assertion.
In the second place, we shall limit our investigations to those principles which relate to the categories. For as to the principles of transcendental esthetic, according to which space and time are the conditions of the possibility of things as phenomena, as also the restriction of these principles, namely, that they cannot be applied to objects as things in themselves ; -- these, of course, do not fall within the scope of our present enquiry. In like manner, the principles of ma thematical science form no part of this system, because they are all drawn from intuition, and not from the pure concep tion of the understanding. The possibility of these principles, however, will necessarily be considered here, inasmuch as they are synthetical judgments h priori, not indeed for the purpose of proving their accuracy and apodeictic certainty, which is unnecessary, but merely to render conceivable and deduce the possibility of such evident << priori cognitions.
But we shall have also to speak of the principle of analy tical judgments, in opposition to synthetical judgments, which is the proper subject of our enquiries, because this very oppo
? ? ? ? SYSTEM O1 PRINCIPLES. 113
<<ition will free the theory of the latter from nll ambiguity, ami place it clearly before our eyes in its true nature.
Ststem of the Principled or the Pure Under standing.
SECTION FIRST.
Of the Supreme Principle of all Analytical Judgments.
Whatever may be the content of our cognition, and in whatever manner our cognition may be related to its object, the universal, although only negative condition of all our judgments is that they do not contradict themselves ; other wise these judgments are in themselves (even without respect to the object) nothing. But although there may exist no contradiction in our judgment, it may nevertheless connect conceptions in such a manner, that they do not correspond to the object, or without any grounds either a priori or a pos teriori for arriving at such a judgment, and thus, without being self-contradictory, a judgment may nevertheless be either false or groundless. "
Now, the proposition, No subject can have a predicate that contradicts it," is called the principle of contradiction, and is an universal but purely negative criterion of all truth. But it belongs to logic alone, because it is valid of cognitions, merely as cognitions, and without respect to their content, and declares that the contradiction entirely nullifies them. We can also, however, make a positive use of this princi ple, that not merely to banish falsehood and error (in bo far as rests upon contradiction), but also for the cog nition of truth. For the judgment analytical, be affirmative or negative, its truth must always be recognizable
means of the principle of contradiction. For the contrary of that which lies and cogitated as conception in the cogni tion of the object will be always properly negatived, but the conception itself must always be affirmed of the object, inas much as the contrary thereof would be in contradiction to the object.
We must therefore hold the principle contradiction to be the universal and fully sufficient principle all analytical tocnitiox. But as sufficient criterion of truth, has no further
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utility or authority. For the fact that no cognition can be at variance with this principle without nullifying itself, consti tutes this principle the sine qua non, but not the determining ground of the truth of our cognition. As our business at present is properly with the synthetical part of our knowledge only, we shall always be on our guard not to transgress this inviolable principle ; but at the same time not to expect from it any direct assistance in the establishment of the truth of any synthetical proposition.
There exists, however, a formula of this celebrated principle --a principle merely formal and entirely without content -- which contains a synthesis that has been inadvertently and quite unnecessarily mixed up with it. It is this : -- " It is impossible for a thing to be and not to be at the same time. " Not to mention the superfluousness of the addition of the word impossible to indicate the apodeictic certainty, which ought to be self-evident from the proposition itself, the propo sition is affected by the condition of time, and as it were says :
? " A thing-- A, which is something=J? , cannot at the same time be non-B. " But both, B as well as non-B, may quite well exist in succession. For example, a man who is young cannot at the same time be old ; but the same man can very well be at one time young, and at another not young, that old. Now the principle of contradiction as merely logical propo sition must not any means limit its application merely to relations of time, and consequently formula like the pre ceding quite foreign to its true purpose. The misunder standing arises in this way.