Anyone care to read Kant's "Critique of Pure Reason"? To posit the existence of an object of thought is to affirm that which is thought about is conditioned by the categories of quality (whatever it is, it is real) and modality (whatever it is, it has phenomenal representation, thus can be an existence).
To adjoin to an object of thought that there can be no possible matching object in the empirical world, is to deny to that object the condition of the categories (whatever it is, it does not have phenomenal representation thus cannot be determinable as an existence, hence cannot be determinable as real).
In order to alleviate the absurdity of methodological contradiction, it must be the case, then, that the object of thought as such, is not a real physical object, hence the categories are not necessary conditions, and, consequently the object of thought belongs to understanding alone, insofar as the understanding is given as the faculty of thought, and therefore the existence of that object is not necessary and the contradiction disappears.
By thesis-specific definition, thought is cognition by means of the synthesis of conceptions, which reduces the faculty of understanding to the faculty by which conceptions arise. In turn, conceptions are representations of that which understanding thinks, as are phenomena representations of that which the faculty of sensibility intuits.
Because thought is cognition by means of the synthesis of conceptions, it follows necessarily there must be a plurality of conceptions in order for there to be a synthesis of them. On the other hand, for that object understanding thinks, it does not follow necessarily that object contains a plurality of conceptions, and if it does not, no synthesis of conceptions and thereby no cognition with respect to that object, is possible. By the containing of a plurality of conceptions is meant the schema of the lesser conceptions under the general, by which synthesis itself is even possible.
Under the condition that no faculty has contained in its method that which serves no purpose for its systemic employment, it must be that no singular, uncognizable conception belongs to understanding alone, but rather, belongs to a higher order faculty, and is called an idea, and is properly a transcendental conception of pure reason. The categories are of course, exempt from this criteria, insofar as, while they are themselves singular conceptions albeit not of objects understanding thinks, they have schema, the lesser conceptions, subsumed under them, they serve a systemic purpose within the faculty to which they belong, hence are not mere ideas.
To plumb the subtleties of transcendental philosophy is to grant to reason its proclivity for stepping out on its own, re: the whole raison d’etre of CPR, juxtapositioned to lesser faculties that always operate in conjunction with each other, or with Nature, regarding existences and knowledge.
“…. Now, although we must say of the transcendental conceptions of reason, “they are only ideas,” we must not, on this account, look upon them as superfluous and nugatory. For, although no object can be determined by them, they can be of great utility, unobserved and at the basis of the edifice of the understanding, as the canon for its extended and self-consistent exercise—a canon which, indeed, does not enable it to cognize more in an object than it would cognize by the help of its own conceptions, but which guides it more securely in its cognition. Not to mention that they perhaps render possible a transition from our conceptions of nature and the non-ego to the practical conceptions, and thus produce for even ethical ideas keeping, so to speak, and connection with the speculative cognitions of reason….”
Now, it’s time for important stuff. Like…..football.