7 Simplicität was a misprint for substantialität
8 How the simple can again correspond to the category of reality cannot yet be explained here; but will be shown in the following chapter, when another use has to be discussed which reason makes of the same concept.
9 Ich bin was a mistake, it can only be meant for Ich denke.
| Go to Table of Contents |
Transcendental Dialectic
Book II
Chapter II
The Antinomy of Pure Reason
IN the Introduction to this part of our work we showed that all the transcendental illusion of pure reason depended on three dialectical syllogisms, the outline of which is supplied to us by logic in the three formal kinds of the ordinary syllogism, in about the same way in which the logical outline of the categories was derived from the four functions of all judgments. The first class of these rationalising syllogisms aimed at the unconditioned unity of the subjective conditions of all representations (of the subject or the soul) as corresponding to the categorical syllogisms of reason, the major of which, as the principle, asserts the relation of a predicate to a subject. The second class of the dialectical arguments will, therefore, in analogy with the hypothetical syllogisms, take for its object the unconditioned unity of the objective conditions in phenomenal appearance, while the third class, which has to be treated in the following chapter, will be concerned with the unconditioned unity of the objective conditions of the possibility of objects in general.
It is strange, however, that a transcendental paralogism caused a one-sided illusion only, with regard to our idea of the subject of our thought; and that it is impossible to find in mere concepts of reason the slightest excuse for maintaining the contrary. All the advantage is on the side of pneumatism, although it cannot hide the hereditary taint by which it evaporates into nought, when subjected to the ordeal of our critique.
The case is totally different when we apply reason to the objective synthesis of phenomena; here reason tries at first, with great plausibility, to establish its principle of unconditioned unity, but becomes soon entangled in so many contradictions, that it must give up its pretensions with regard to cosmology also.
For here we are met by a new phenomenon in human reason, namely, a perfectly natural Antithetic, which is not produced by any artificial efforts, but into which reason falls by itself, and inevitably. Reason is no doubt preserved thereby from the slumber of an imaginary conviction, which is often produced by a purely one-sided illusion; but it is tempted at the same time, either to abandon itself to sceptical despair, or to assume a dogmatical obstinacy, taking its stand on certain assertions, without granting a hearing and doing justice to the arguments of the opponent. In both cases, a death-blow is dealt to sound philosophy, although in the former we might speak of the Euthanasia of pure reason.
Before showing the scenes of discord and confusion produced by the conflict of the laws (antinomy) of pure reason, we shall have to make a few remarks in order to explain and justify the method which we mean to follow in the treatment of this subject. I shall call all transcendental ideas, so far as they relate to the absolute totality in the synthesis of phenomena, cosmical concepts, partly, because of even this unconditioned totality on which the concept of the cosmical universe also rests (which is itself an idea only), partly, because they refer to the synthesis of phenomena only, which is empirical, while the absolute totality in the synthesis of the conditions of all possible things must produce an ideal of pure reason, totally different from the cosmical concept, although in a certain sense related to it. As therefore the paralogisms of pure reason formed the foundation for a dialectical psychology, the antinomy of pure reason will place before our eyes the transcendental principles of a pretended pure (rational) cosmology, not in order to show that it is valid and can be accepted, but, as may be guessed from the very name. of the antinomy of reason, in order to expose it as an idea surrounded by deceptive and false appearances, and utterly irreconcileable with phenomena.
The Antinomy Of Pure Reason
Section I
System of Cosmological Ideas
Before we are able to enumerate these ideas according to a principle and with systematic precision, we must bear in mind,
1st, That pure and transcendental concepts arise from the understanding only, and that reason does not in reality produce any concept, but only frees, it may be, the concept of the understanding of the inevitable limitation of a possible experience, and thus tries to enlarge it, beyond the limits of experience, yet in connection with it. Reason does this by demanding for something that is given as conditioned, absolute totality on the side of the conditions (under which the understanding subjects all phenomena to the synthetical unity). It thus changes the category into a transcendental idea, in order to give absolute completeness to the empirical synthesis, by continuing it up to the unconditioned (which can never be met with in experience, but in the idea only). In doing this, reason follows the principle that, if the conditioned is given, the whole sum of conditions, and therefore the absolutely unconditioned must be given likewise, the former being impossible without the latter. Hence the transcendental ideas are in reality nothing but categories, enlarged till they reach the unconditioned, and those ideas must admit of being arranged in a table, according to the titles of the categories.
2ndly, Not all categories will lend themselves to this, but those only in which the synthesis constitutes a series, and a series of subordinated (not of co-ordinated) conditions. Absolute totality is demanded by reason, with regard to an ascending series of conditions only, not therefore when we have to deal with a descending line of consequences, or with an aggregate of co-ordinated conditions. For, with reference to something given as conditioned, conditions are presupposed and considered as given with it, while, on the other hand, as consequences do not render their conditions possible, but rather presuppose them, we need not, in proceeding to the consequences (or in descending from any given condition to the conditioned), trouble ourselves whether the series comes to an end or not, the question as to their totality being in fact no presupposition of reason whatever.
Thus we necessarily conceive time past up to a given moment, as given, even if not determinable by us. But with regard to time future, which is not a condition of arriving at time present, it is entirely indifferent, if we want to conceive the latter, what we may think about the former, whether we take it, as coming to an end somewhere, or as going on to infinity. Let us take the series, m, n, o, where n is given as conditioned by m, and at the same time as a condition of o. Let that series ascend from the conditioned n to its condition m (l, k, i, etc.), and descend from the condition n to the conditioned o (p, q, r, etc.). I must then presuppose the former series, in order to take n as given, and according to reason (the totality of conditions) n is possible only by means of that series, while its possibility depends in no way on the subsequent series, o, p, q, r, which therefore cannot be considered as given, but only as dabilis, capable of being given.
I shall call the synthesis of a series on the side of the conditions, beginning with the one nearest to a given phenomenon, and advancing to the more remote conditions, regressive; the other, which on the side of the conditioned advances from the nearest effect to the more remote ones, progressive. The former proceeds in antecedentia, the second in consequentia. Cosmological ideas therefore, being occupied with the totality of regressive synthesis, proceed in antecedentia, not in consequentia. If the latter should take place, it would be a gratuitous, not a necessary problem of pure reason, because for a complete comprehension of what is given us in experience we want to know the causes, but not the effects.
In order to arrange a table of ideas in accordance with the table of the categories, we must take, first, the two original quanta of all our intuition, time and space. Time is in itself a series (and the formal condition of all series), and in it, therefore, with reference to any given present, we have to distinguish a priori the antecedent
ia as conditions (the past) from the consequentia (the future). Hence the transcendental idea of the absolute totality of the series of conditions of anything conditioned refers to time past only. The whole of time past is looked upon, according to the idea of reason, as a necessary condition of the given moment. With regard to space there is in it no difference between progressus and regressus, because all its parts exist together and form an aggregate, but no series. We can look upon the present moment, with reference to time past, as conditioned only, but never as condition, because this moment arises only through time past (or rather through the passing of antecedent time). But as the parts of space are not subordinate to one another, but co-ordinate, no part of it is in the condition of the possibility of another, nor does it, like time, constitute a series in itself. Nevertheless the synthesis by which we apprehend the many parts of space is successive, takes place in time, and contains a series. And as in that series of aggregated spaces (as, for instance, of feet in a rood) the spaces added to a given space are always the condition of the limit of the preceding spaces, we ought to consider the measuring of a space also as a synthesis of a series of conditions of something given as conditioned, with this difference only, that the side of the conditions is by itself not different from the other side which comprehends the conditioned, so that regressus and progressus seem to be the same in space. As however every part of space is limited only, and not given by another, we must look upon every limited space as conditioned also, so far as it presupposes another space as the condition of its limit, and so on. With reference to limitation therefore progressus in space is also regressus, and the transcendental idea of the absolute totality of the synthesis in the series of conditions applies to space also. I may ask then for the absolute totality of phenomena in space, quite as well as in time past, though we must wait to see whether an answer is ever possible.
Secondly, reality in space, that is, matter, is something conditioned, the parts of which are its internal conditions, and the parts of its parts, its remoter conditions. We have therefore here a regressive synthesis the absolute totality of which is demanded by reason, but which cannot take place except by a complete division, whereby the reality of matter dwindles away into nothing, or into that at least which is no longer matter, namely, the simple; consequently we have here also a series of conditions, and a progress to the unconditioned.
Thirdly, when we come to the categories of the real relation between phenomena, we find that the category of substance with its accidents does not lend itself to a transcendental idea; that is, reason has here no inducement to proceed regressively to conditions. We know that accidents, so far as they inhere in one and the same substance, are co-ordinated with each other, and do not constitute a series; and with reference to the substance, they are not properly subordinate to it, but are the mode of existence of the substance itself. The concept of the substantial might seem to be here an idea of trancendental reason. This, however, signifies nothing but the concept of the object in general, which subsists, so far as we think in it the transcendental subject only, without any predicates; and, as we are here speaking only of the unconditioned in the series of phenomena, it is clear that the substantial cannot be a part of it. The same applies to substances in community, which are aggregates only, without having an exponent of a series, since they are not subordinate to each other, as conditions of their possibility, in the same way as spaces were, the limits of which can never be determined by itself, but always through another space. There remains therefore only the category of causality, which offers a series of causes to a given effect, enabling us to ascend from the latter, as the conditioned, to the former as the conditions, and thus to answer the question of reason.
Fourthly, the concepts of the possible, the real, and the necessary do not lead to any series, except so far as the accidental in existence must always be considered as conditioned, and point, according to a rule of the understanding, to a condition which makes it necessary to ascend to a higher condition, till reason finds at last, only, in the totality of that series, the unconditioned necessity which it requires.
If therefore we select those categories which necessarily imply a series in the synthesis of the manifold, we shall have no more than four cosmological ideas, accord to the four titles of the categories.
I
Absolute completeness
of the composition
of the given whole of all phenomena.
II
III
Absolute completeness
Absolute completeness
of the division
of the origination
of a given whole
of a phenomenon
in phenomenal appearance.
in general.
IV
Absolute completeness
of the dependence of the existence
of the changeable in phenomenal appearance.
It should be remarked, first, that the idea of absolute totality refers to nothing else but the exhibition of phenomena, and not therefore to the pure concept, formed by the understanding, of a totality of things in general. Phenomena, therefore, are considered here as given, and reason postulates the absolute completeness of the conditions of their possibility, so far as these conditions constitute a series, that is, an absolutely (in every respect) complete synthesis, whereby phenomena could be exhibited according to the laws of the understanding.
Secondly, it is in reality the unconditioned alone which reason is looking for in the synthesis of conditions, continued regressively and serially, as it were a completeness in the series of premisses, which taken together require no further premisses. This unconditioned is always contained in the absolute totality of a series, as represented in imagination. But this absolutely complete synthesis is again an idea only, for it is impossible to know beforehand, whether such a synthesis be possible in phenomena. If we represent everything by means of pure concepts of the understanding only, and without the conditions of sensuous intuition, we might really say that of everything given as conditioned the whole series also of conditions, subordinated to each other, is given, for the conditioned is given through the conditions only. When we come to phenomena, however, we find a particular limitation of the mode in which conditions are given, namely, through the successive synthesis of the manifold of intuition which should become complete by the regressus. Whether this completeness, however, is possible, with regard to sensuous phenomena, is still a question. But the idea of that completeness is no doubt contained in reason, without reference to the possibility or impossibility of connecting with it adequate empirical concepts. As therefore in the absolute totality of the regressive synthesis of the manifold in intuition (according to the categories which represent that totality as a series of conditions of something given as conditioned) the unconditioned is necessarily contained without attempting to determine whether and how such a totality be possible, reason here takes the road to start from the idea of totality, though her final aim is the unconditioned, whether of the whole series or of a part thereof.
This unconditioned may be either conceived as existing in the whole series only, in which all members without exception are conditioned and the whole of them only absolutely unconditioned—and in this case the regressus is called infinite—or the absolutely unconditioned is only a part of the series, the other members being subordinate to it, while it is itself conditioned by nothing else.1 In the former case the series is without limits a parte priori (without a beginning), that is infinite; given however as a whole in which the regressus is never complete, and can therefore be called infinite potentially only. In the latter case there is something that stands first in the series, which, with reference to time past, is called the beginning of the world; with reference to space, the limit of the world; with reference to the parts of a limited given whole, the simple; with reference to causes, absolute spontaneity (liberty); with reference to the existence of changeable things, the absolute necessity of nature.<
br />
We have two expressions, world and nature, which frequently run into each other. The first denotes the mathematical total of all phenomena and the totality of their synthesis of large and small in its progress whether by composition or division. That world, however, is called nature2 if we look upon it as a dynamical whole, and consider not the aggregation in space and time, in order to produce a quantity, but the unity in the existence of phenomena. In this case the condition of that which happens is called cause, the unconditioned causality of the cause as phenomenal, liberty, while the conditioned causality, in its narrower meaning, is called natural cause. That of which the existence is conditioned is called contingent, that of which it is unconditioned, necessary. The unconditioned necessity of phenomena may be called natural necessity.
I have called the ideas, which we are at present discussing, cosmological, partly because we understand by world the totality of all phenomena, our ideas being directed to that only which is unconditioned among the phenomena; partly, because world, in its transcendental meaning, denotes the totality of all existing things, and we are concerned only with the completeness of the synthesis (although properly only in the regressus to the conditions). Considering, therefore, that all these ideas are transcendent because, though not transcending in kind their object, namely, phenomena, but restricted to the world of sense (and excluded from all noumena) they nevertheless carry synthesis to a degree which transcends all possible experience, they may, according to my opinion, very properly be called cosmical concepts. With reference to the distinction, however, between the mathematically or the dynamically unconditioned at which the regressus aims, I might call the two former, in a narrower sense, cosmical concepts (macrocosmically or microcosmically) and the remaining two transcendent concepts of nature. This distinction, though for the present of no great consequence, may become important hereafter.
Critique of Pure Reason Page 35