The difference between abstract and intuitive cognition, which Kant entirely overlooks.....
“....If, by the term noumenon, we understand a thing so far as it is not an object of our sensuous intuition, thus making abstraction of our mode of intuiting it, this is a noumenon in the negative sense of the word. But if we understand by it an object of a non-sensuous intuition, we in this case assume a peculiar mode of intuition, an intellectual intuition, to wit, which does not, however, belong to us, of the very possibility of which we have no notion—and this is a noumenon in the positive sense....
.....To be sure, understanding and reason are employed in the cognition of phenomena; but the question is, whether these can be applied when the object is not a phenomenon and in this sense we regard it as if it is cogitated as given to the understanding alone, and not to the senses. The question therefore is whether, over and above the empirical use of the understanding**, a transcendental use is possible***, which applies to the noumenon as an object. This question we have answered in the negative....”
(**....from which an intuitive cognition follows)
(***....from which an abstract cognition follows)
Nahhhh....Kant didn’t entirely overlook the difference, but rather, stated what it is. Arthur couldn’t abide with it, because he needed his notion of will to fill the unknowable void of the
ding an sich, which he couldn’t do if there is a thing impossible for a human to know.
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But Kant, who completely and irresponsibly neglected the issue for which the terms φαινομένα and νοούμενα were already in use, then took possession of the terms as if they were stray and ownerless, and used them as designations of things in themselves and their appearances.
“....When therefore we say, the senses represent objects as they appear, the understanding as they are, the latter statement must not be understood in a transcendental, but only in an empirical signification, that is, as they must be represented in the complete connection of phenomena, and not according to what they may be, apart from their relation to possible experience, consequently not as objects of the pure understanding. For this must ever remain unknown to us. Nay, it is also quite unknown to us whether any such transcendental or extraordinary cognition is possible under any circumstances, at least, whether it is possible by means of our categories....”
Kant never intended noumena to represent things-in-themselves, which are real external objects, but merely as objects understanding illegitimately thinks on its own accord. The only connect between them, is the fact they are both unknowable, the first because we only can know the representations of things as phenomena, the second because the categories have no application except to phenomena which objects thought by understanding alone can never be.
Arthur didn’t like that we cannot know a thing, that there is that which is impossible for human knowledge. All he did, was create a philosophy under which the incontestably knowable....the human will.... substitutes for Kant’s incontestably unknowable, the
ding an sich, and PRESTO!!! That which is impossible to know disappears. (Sigh)
Still, it is all Kant’s fault, this metaphysical ambiguity, insofar as he stipulates both that the understanding is the faculty of thought, and, we can think anything we want. It follows that understanding can think anything it wants, including its own objects. But this is met with an immediate contradiction, in that the categories are necessary for the cognition of objects and cannot apply to anything not given by sensibility. Objects of understanding...noumena....are not given from sensibility, hence the categories cannot be applied to them, hence they cannot be cognizable as experiences. Whether or not there are any such things as noumena is not claimed as impossible, but nonetheless entirely irrelevant with respect to the human cognitive system as Kant proposes it.
Worth noting, and oft-overlooked, is the fact Kant authorizes the conception of noumena, but never....not once....ever gives an example of an object that represents that conception.
(1).
Why, you ask.....and I know you did. Kantian duality
writ large: because there is in the faculties of sensibility an unknowable, and because sensibility and logic are mutually inclusive, there must be that which is unknowable arising from the faculty of logic itself. Otherwise there resides an irreconcilable inconsistency in his speculative methodology. Hence, Schopenhaur’s attempt to eliminate both Kantian unknowables.
And now it is clear why Kant says we can think whatever we want.....provided only that we don’t contradict ourselves.
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To put a period on it, ending the nonsense regarding impossible empirical knowledge.....
“....The critique of the pure understanding, accordingly, does not permit us to create for ourselves a new field of objects beyond those which are presented to us as phenomena, and to stray into intelligible worlds; nay, it does not even allow us to endeavour to form so much as a conception of them
(1). The specious error which leads to this—and which is a perfectly excusable one—lies in the fact that the employment of the understanding, contrary to its proper purpose and destination, is made transcendental, and objects, that is, possible intuitions, are made to regulate themselves according to conceptions, instead of the conceptions arranging themselves according to the intuitions, on which alone their own objective validity rests. Now the reason of this again is that apperception, and with it thought, antecedes all possible determinate arrangement of representations. Accordingly we think something in general and determine it on the one hand sensuously, but, on the other, distinguish the general and in abstracto represent objects from this particular mode of intuiting it. In this case there remains a mode of determining the object by mere thought, which is really but a logical form without content, which, however, seems to us to be a mode of the existence of the object in itself (noumenon), without regard to intuition which is limited to our senses....”