ible experience, and that even in thought reason is unable to bring them into harmony with the universal laws of nature. Yet they are not arbitrarily conceived. Reason, in the continuous advance of empirical synthesis, is necessarily led up to them whenever it endeavours to free from all conditions and apprehend in its unconditioned totality that which according to the rules of experience can never be determined save as conditioned.
These pseudo-rational assertions are so many attempts to solve four natural and unavoidable problems of reason. There are just so many, neither more nor fewer, owing to the fact that there are just four series of synthetic presuppositions which impose a priori limitations on the empirical synthesis.
The proud pretensions of reason, when it strives to extend its domain beyond all limits of experience, we have represented only in dry formulas that contain merely the ground of their legal claims. As befits a transcendental philosophy, there are two pure rational sciences, one purely speculative, the other with a practical content, namely, pure mathematics and pure ethics. Has it ever been suggested that, because of our necessary ignorance of the conditions, it must remain uncertain what exact relation, in rational or irrational numbers, a diameter bears to a circle? Since no adequate solution in terms of rational numbers is possible, and no solution in terms of irrational numbers has yet been discovered, it was concluded that at least the impossibility of a solution can be known with certainty, and of this impossibility Lambert has given the required proof. In the universal principles of morals nothing can be uncertain, because the principles are either altogether void and meaningless, or must be derived fr
The obligation of an at least critical solution of the questions which pure reason puts to pure reason. By its means we can deliver ourselves, at but a small cost, from a great body of sterile dogmatism, and set in its place a sober critique, which as a true cathartic will effectively guard us against such groundless beliefs and the supposed polymathy to which they lead.
If therefore, in dealing with a cosmological idea, I were able to appreciate beforehand that whatever view may be taken of the unconditioned in the successive synthesis of appearances, it must either be too large or too small for any concept of the understanding, it must be entirely empty and without meaning; for its object, view it as we may, cannot be made to agree with it. This is in fact the case with all cosmical concepts; and this is why reason, so long as it holds to them, is involved in an unavoidable antinomy. For suppose:
First, that the world has no beginning: it is then too large for our concept, which, consisting as it does in a successive regress, can never reach the whole eternity that has elapsed. Or suppose that the world has a beginning, it will then, in the necessary empirical regress, be too small for the concept of the understanding. For since the beginning still presupposes a time which precedes it, it is still not unconditioned; and the law of the empirical employment of the understanding therefore obliges us to look for a higher temporal condition; and the world [as limited in time] is therefore obviously too small for this law.
This is also true of the twofold answer to the question regarding the magnitude of the world in space. If it is infinite and unlimited, it is too large for any possible empirical concept. If it is finite and limited, we have a right to ask what determines these limits. Empty space is no self-subsistent correlate of things, and cannot be a condition at which we could stop; still less can it be an empirical conditions of this advance (that which determines what members I shall meet with, or how far I can meet with any such in my regress) is transcendental, and is therefore necessarily unknown to me. We are not, however, concerned with this transcendental cause, but only with the rule of the advance in the experience in which objects, that is to say, appearances, are given to me. Moreover, in outcome it is a matter of indifference how we choose to express ourselves, for we do not know which exists for the sake of the other. In the case, however, of a man and his coat, we do not say that a man is too tall for his
We have thus been led to what is at least a well-grounded suspicion that the cosmological ideas, and with them all the mutually conflicting pseudo-rational assertions are so many attempts to solve four natural and unavoidable problems of reason. There are just so many, neither more nor fewer, owing to the fact that there are just four series of synthetic presuppositions which impose a priori limitations on the empirical synthesis.
The proud pretensions of reason, when it strives to extend its domain beyond all limits of experience, we have represented only in dry formulas that contain merely the ground of their legal claims. As befits a transcendental philosophy, they have been divested of all empirical features, although only in connection therewith can their full splendour be displayed. But in this empirical application, and in the progressive extension of the employment of reason, philosophy, beginning with the field of our experiences and steadily soaring to these lofty ideas, displays a dignity and worth such that, could it but make good its pretensions, it would leave all other human science far behind. For it promises a secure foundation for our highest expectations in respect of those ultimate ends towards which all the endeavours of reason must ultimately converge.
Whether the world has a beginning [in time] and any limit to its extension in space; whether there is anywhere, and perhaps in my thinking self, an indivisible and indestructible unity, or nothing but what is divisible and transitory; whether I am free in my actions or, like other beings, am led by the hand of nature and of fate; whether finally there is a supreme cause of the world, or whether the things of nature and their order must as the ultimate object terminate thought
an object that even in our speculations can never be transcended: these are questions for the solution of which the mathematician would gladly exchange the whole of his science. For mathematics can yield no satisfaction in regard to those highest ends that most closely concern humanity. And yet the very dignity of mathematics (that pride of human reason) rests upon this, that it guides reason to knowledge of nature in its order and regularity
alike in what is great in it and in what is small
and in the extraordinary unity of its moving forces, thus rising to a degree of insight far beyond what any philosophy based on ordinary experience would lead us to expect; and so gives occasion and encouragement to an employment of reason that is extended beyond all experience, and at the same time supplies it with the most excellent materials for supporting its investigations
so far as the character of these permits
by appropriate intuitions.
Unfortunately for speculation, though fortunately perhaps for the practical interests of humanity, reason, in the midst of its highest expectations, finds itself so compromised by the conflict of opposing arguments, that neither its honour nor its security allows it to withdraw and treat the quarrel with indifference as a mere mock fight; and still less is it in a position to command peace, being itself directly interested in the matters in dispute. Accordingly, nothing remains for reason save to consider whether the origin of this conflict, whereby it is divided against itself, may not have arisen from a mere misunderstanding. In such an enquiry both parties, per chance, may have to sacrifice proud claims; but a lasting and peaceful reign of reason over understanding and the senses would thereby be inaugurated.
For the present we shall defer this thorough enquiry, in order first of all to consider upon which side we should prefer to fight, should we be compelled to make choice between the opposing parties. The raising of this question, how we should proceed if we consulted only our interest and not the logical criterion of truth, will decide nothing in regard to the contested rights of the two parties, but has this advantage, that it enables us to comprehend why the participants in this quarrel, though not influenced by any superior insight into the matter under dispute, have preferred to fight on one side rather than on the other. It will also cast light on a number of incidental points, for instance, the passionate zeal of the one party and the calm assurance of the other; and will explain why the world hails the one with eager approval, and is implacably prejudiced against the other.
Comparison of the principles which form the starting-points of the two parties is what enables us, as we shall find, to determine the standpoint from which alone this preliminary enquiry can be carried out with the required thoroughness. In the assertions of the antithesis we observe a perfect uniformity in manner of thinking and complete unity of maxims, namely a principle of pure empiricism, applied not only in explanation of the appearances within the world, but also in the solution of the transcendental ideas of the world itself, in its totality. The assertions of the thesis, on the other hand, pre-suppose, in addition to the empirical mode of explanation employed within the series of appearances, intelligible beginnings; and to this extent its maxim is complex. But as its essential and distinguishing characteristic is the presupposition of intelligible beginnings, I shall entitle it the dogmatism of pure reason.
In the determination of the cosmological ideas we find on the side of dogmatism, that is, of the thesis: First, a certain practical interest in which every right-thinking man, if he has understanding of what truly concerns him, heartily shares. That the world has a beginning and the other that it has no beginning and is from eternity, one of the two must be in the right. But even if this be so, none the less, since the arguments on both sides are equally clear, it is impossible to decide between them. The parties may be commanded to keep the peace before the tribunal of reason; but the controversy none the less continues. There can therefore be no way of settling it once for all and to the satisfaction of both sides, save by their becoming convinced that the very fact of their being able so admirably to refute one another is evidence that they are really quarrelling about nothing, and that a certain transcendental illusion has mocked them with a reality where none is to be found. This is the path which we sha
Zeno of Elea, a subtle dialectician, was severely reprimanded by Plato as a mischievous Sophist who, to show his skill, would set out to prove a proposition through convincing arguments and then immediately overthrow them by other arguments equally strong. Zeno maintained, for example, that God (probably conceived by him as simply the world) is neither finite nor infinite, neither in motion nor at rest, neither similar nor dissimilar to any other thing, because there is no other thing, nothing outside it, with which it could be compared. If two opposed judgments presuppose an inadmissible condition, then in spite of their opposition, which does not amount to a contradiction strictly so-called, both fall to the ground, inasmuch as the condition, under which alone either of them can be maintained, itself falls.
If it be said that all bodies have either a good smell or a smell that is not good, a third case is possible, namely, that a body has no smell at all; and both the conflicting propositions may therefore be false. If, however, I say: all bodies are either good-smelling or not good-smelling (vel suaveolens vel non suaveolens), the two judgments are directly contradictory to one another, and the former only is false, its contradictory opposite, that the world is not infinite, must be true. And I should thus deny the existence of an infinite world, without affirming in its place a finite world. But if we had said that the world is either infinite in extension or is not infinite (non est infinitus), and if the former proposition is false, its contradictory opposites.
If, therefore, we say that the world is either infinite or finite (non-infinite), both statements might be false. For in that case we should be regarding the world in itself as determined in its magnitude, and in the opposed judgment we do not merely remove the infinitude, and with it perhaps the entire separate existence of the world, but attach a determination to the world, regarded as a thing actually existing in itself. This assertion may, however, likewise be false; the world may not b
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ce nor an infinite composition can ever come before us. Appearances demand explanation only so far as the conditions of their explanation are given in perception; but all that may ever be given in this way, when taken together in an absolute whole, is not itself a perception. Yet it is just the explanation of this very whole that is demanded in the transcendental problems of reason.
Thus the solution of these problems can never be found in experience, and this is precisely the reason why we should not say that it is uncertain what should be ascribed to the object, and that while we do indeed have a concept sufficient to raise a question, we are entirely lacking in materials or power to answer the same.
Now I maintain that transcendental philosophy is unique in the whole field of speculative knowledge, in that no question which concerns an object given to pure reason can be insoluble for this same human reason, and that no excuse of an unavoidable ignorance, or of the problem's unfathomable depth, can release us from the obligation to answer it thoroughly and completely. That very concept which puts us in a position to ask the question must also qualify us to answer it, since, as in the case of right and wrong, the object is not to be met with outside the concept.
In transcendental philosophy, however, the only questions to which we have the right to demand a sufficient answer bearing on the constitution of the object, and from answering which the philosopher is not permitted to excuse himself on the plea of their impenetrable obscurity, are the cosmological.
These questions [bearing on the constitution of the object] must refer exclusively to cosmological ideas. For the object must be given empirically, the question being only as to its conformity to an idea. If, on the other hand, there is endless conjecture, and certainty is not to be counted upon. For the natural appearances are objects which are given to us independently of our concepts, and the key to them lies not in us and our pure thinking, but outside us; and therefore in many cases, since the key is not to be found, an assured solution is not to be expected. I am not, of course, here referring to those questions of the Transcendental Analytic which concern the deduction of our pure knowledge; we are at present treating only of the certainty of judgments with respect to their objects and not with respect to the source of our concepts themselves.
The obligation of an at least critical solution of the questions which reason thus propounds to itself, we cannot, therefore, escape by complaints of the narrow limits of our reason, and by confessing, under the pretext of a humility based on self-knowledge, that it is beyond the power of our reason to determine whether the world exists from eternity or has a beginning; whether cosmical space is filled with beings to infinitude, or is enclosed within certain limits; whether anything in the world is simple, or everything such as to be infinitely divisible; whether there is generation and production through freedom, or whether everything depends on the chain of events in the natural order; and finally whether there exists any being completely unconditioned and necessary in itself, or whether everything is conditioned in its existence and therefore dependent on external things and itself contingent. All these questions refer to an object which can be found nowhere save in our thoughts, namely, to the absolutely
These pseudo-rational assertions are so many attempts to solve four natural and unavoidable problems of reason. There are just so many, neither more nor fewer, owing to the fact that there are just four series of synthetic presuppositions which impose a priori limitations on the empirical synthesis.
The proud pretensions of reason, when it strives to extend its domain beyond all limits of experience, we have represented only in dry formulas that contain merely the ground of their legal claims. As befits a transcendental philosophy, they have been divested of all empirical features, although only in connection therewith can their full splendour be displayed. But in this empirical application, and in the progressive extension of the employment of reason, philosophy, beginning with the field of our experiences and steadily soaring to these lofty ideas, displays a dignity and worth such that, could it but make good its pretensions, it would leave all other human science far behind. For it promises a secure foundation for our highest expectations in respect of those ultimate ends towards which all the endeavours of reason must ultimately converge.
Whether the world has a beginning [in time] and any limit to its extension in space; whether there is anywhere, and perhaps in my thinking self, an indivisible and indestructible unity, or nothing but what is divisible and transitory; whether I am free in my actions or, like other beings, am led by the hand of nature and of fate; whether finally there is a supreme cause of the world, or whether the things of nature and their order must as the ultimate object terminate thought
an object that even in our speculations can never be transcended: these are questions for the solution of which the mathematician would gladly exchange the whole of his science. For mathematics can yield no satisfaction in regard to those highest ends that most closely concern humanity. And yet the very dignity of mathematics (that pride of human reason) rests upon this, that it guides reason to knowledge of nature in its order and regularity
alike in what is great in it and in what is small
and in the extraordinary unity of its moving forces, thus rising to a degree of insight far beyond what any philosophy based on ordinary experience would lead us to expect; and so gives occasion and encouragement to an employment of reason that is extended beyond all experience, and at the same time supplies it with the most excellent materials for supporting its investigations
so far as the character of these permits
by appropriate intuitions.
Unfortunately for speculation, though fortunately perhaps for the practical interests of humanity, reason, in the midst of its highest expectations, finds itself so compromised by the conflict of opposing arguments, that neither its honour nor its security allows it to withdraw and treat the quarrel with indifference as a mere mock fight; and still less is it in a position to command peace, being itself directly interested in the matters in dispute. Accordingly, nothing remains for reason save to consider whether the origin of this conflict, whereby it is divided against itself, may not have arisen from a mere misunderstanding. In such an enquiry both parties, per chance, may have to sacrifice proud claims; but a lasting and peaceful reign of reason over understanding and the senses would thereby be inaugurated.
For the present we shall defer this thorough enquiry, in order first of all to consider upon which side we should prefer to fight, should we be compelled to make choice between the opposing parties. The raising of this question, how we should proceed if we consulted only our interest and not the logical criterion of truth, will decide nothing in regard to the contested rights of the two parties, but has this advantage, that it enables us to comprehend why the participants in this quarrel, though not influenced by any superior insight into the matter under dispute, have preferred to fight on one side rather than on the other. It will also cast light on a number of incidental points, for instance, the passionate zeal of the one party and the calm assurance of the other; and will explain why the world hails the one with eager approval, and is implacably prejudiced against the other.
Comparison of the principles which form the starting-points of the two parties is what enables us, as we shall find, to determine the standpoint from which alone this preliminary enquiry can be carried out with the required thoroughness. In the assertions of the antithesis we observe a perfect uniformity in manner of thinking and complete unity of maxims, namely a principle of pure empiricism, applied not only in explanation of the appearances within the world, but also in the solution of the transcendental ideas are postulated and employed in the manner prescribed by the thesis, the entire chain of conditions and the derivation of the conditioned with its condition is here a synthesis of the mere understanding, which represents things as they are, without considering whether and how we can obtain knowledge of them. If, however, what we are dealing with are appearances
as mere representations appearances cannot be given save in so far as I attain knowledge of them, or rather attain them in themselves, for they are nothing but empirical modes of knowledge
I cannot say, in the same sense of the terms, that if the conditioned is given, all its conditions (as appearances) are likewise given, and therefore cannot in any way infer the absolute totality of the series of its conditions. The appearances are in their apprehension themselves nothing but an empirical synthesis in space and time, and are determinable according to laws of the unity of experience, are entitled objects. The non-sensible cause of these representations is completely unknown to us, and cannot therefore be intuited by us as object. For such an object would have to be represented as neither in space nor in time (these being merely conditions of sensible representation), and apart from such conditions we cannot think any intuition. We may, however, entitle the purely intelligible cause of appearances in general the transcendental object, but merely in order to have something corresponding to sensibility viewed as a receptivity.
To this transcendental object we can ascribe the whole extent and connection of our possible perceptions. For the appearances, as mere representations, are in themselves real only in perception, which perception is in fact nothing but the reality of an empirical representation, that is, appearance. To call an appearance a real thing prior to our perceiving it, either means that in the advance of experience we must meet with such a perception, or it means nothing at all. For if we were speaking of a thing in itself, we could indeed say that it exists in itself apart from relation to our senses and possible experience. But we are here speaking only of an appearance in space and time, which are not determinations of things in themselves.
It would be unjust to ascribe to us that long-decried empirical idealism, which, while it admits the genuine reality of space, denies the existence of the extended beings in it, or at least considers their existence doubtful, and so does not in this regard allow of any properly demonstrable distinction between truth and dreams. As to the appearances of inner sense in time, empirical idealism finds no difficulty in regarding them as real things; indeed it even asserts that this inner experience is the sufficient as well as the only proof of the actual existence of its object (in itself, with all this time-determination).
Our transcendental idealism. [I have also, elsewhere, sometimes entitled it formal idealism, to distinguish it from material idealism, that is, from the usual type of idealism which doubts or denies the existence of outer things themselves.] The realist, in the transcendental meaning of this term, treats these modifications of our sensibility as self-subsistent things, that is, treats mere representations as things in themselves.
It would be unjust to ascribe to us that long-decried empirical idealism, which, while it admits the genuine reality of space, denies the existence of the extended beings in it, or at least considers their existence doubtful, and so does not in this regard allow of any properly demonstrable distinction between truth and dreams. As to the appearances of inner sense in time, empirical idealism finds no difficulty in regarding them as real things; indeed it even asserts that this inner experience is the sufficient as well as the only proof of the actual existence of its object (in itself, with all this time-determination).
Our transcendental ideality of appearances
a proof which ought to convince any who may not be satisfied by the direct proof given in the Transcendental Aesthetic that everything intuited in space or time, and therefore all objects of any experience possible to us, are nothing but appearances, that is, mere representations, which, in the manner in which they are represented, as extended beings, or as series of alterations, have no independent existence outside our thoughts. This doctrine I entitle transcendental idealism. [I have also, elsewhere, sometimes entitled it formal idealism, to distinguish it from material idealism, that is, from the usual type of idealism which doubts or denies the existence of outer things themselves.] The realist, in the transcendental meaning of this term, treats these modifications of our sensibility as self-subsistent things, that is, treats mere representations as things in themselves.
It would be unjust to ascribe to us that long-decried empirical idealism, which, while it admits the genuine reality of space, denies the existence of the extended beings in it, or at least considers their existence doubtful, and so does not in this regard allow of any properly demonstrable distinction between truth and dreams. As to the appearances of inner sense in time, empirical idealism finds no difficulty in regarding them as real things; indeed it even asserts that this inner experience is the sufficient as well as the only proof of the actual existence of its object (in itself, with all this time-determination).
Our transcendental idealism, on the contrary, admits the reality of the objects of outer intuition, as intuited in space, and of all changes in time, as represented by inner sense. For since space is a form of that intuition which we entitle outer, and since without objects in space there would be no empirical representation whatsoever, we can and must regard the extended beings in it as real; and the same is true of time. But this space and this time, and with them all appearances, are not in themselves things; they are nothing but representations, and cannot exist outside our mind. Even the inner and sensible intuition of our mind (as object of consciousness) which is represented as being determined by the succession of different states in time, is not the self proper, as it exists in itself
that is, is not the transcendental subject
but only an appearance that has been given to the sensibility of this, to us unknown, being.
This inner appearance cannot be admitted to exist in any such manner in and by itself; for it is conditioned by time, and time cannot be a determination of a thing in itself. The empirical truth of appearances in space and time is, however, sufficiently secured; it is adequately distinguished from dreams, if both dreams and genuine appearances cohere truly and completely in one experience, in accordance with empirical laws.
The objects of exp