The schematism is contained within the Analytic of Principles, which is to say, the analytic of the principles of the employment of the concepts of judgment. This is to differentiate the schematism from the deduction, which is contained in the Analytic of Concepts and is therefore a deduction of the concepts of the understanding. Therefore, what we find in the schematism is not simply that time is determined by the concepts but the actual time determinations of the concepts: how it happens.

Kant opens up the Schematism by restating that there needs to be a medium through which the a priori concepts can relate to intuitions. In addition, that in each case, “the concept must contain that which is represented in the object that is to be subsumed under it” (CPR A137/B176). The schematism satisfies this requirement, as it is a transcendental determination of time. Time is present in the manifold of intuition and it is present in the a priori concepts, as it

In conclusion the Transcendental Schematism shows the actual determinations of time which correspond to the categories. It also qualifies and elucidates number and magnitude which are foundational to subsequent sections of the Analytic of Principles. For the categories, I have shown why they must be schematized in order to be successfully applied towards experience. I have evaluated this, and also the concept of the transcendental schema.

Kant needs to show how the categories, as the a priori concepts of the understanding, can subsume empirical intuitions under them and thus relate to experience. In this, there seems to be a large problem; namely, how can a priori concepts be applied to empirical intuitions? As all things empirical are necessarily a posteriori, there is a division between them and the faculty of judgment, which possesses concepts a priori.

If there is a way in which the a priori concepts of the understanding and empirical intuitions can meet each other in the mind, Kant’s transcendental philosophy will be validated. Concepts need to apply to intuitions, a concept is simply a rule, and these rules without something to rule over or determine are meaningless, empty. Kant’s whole notion of the categories would be useless if he cannot find a way to supply the categories with intuitions. Similarly, intuitions need concepts, our faculty of sensibility would have no purpose if these sensations could not be subsumed under the categories; without the determinations of judgment, which the categor

Some topics in this essay:
Analytic Principles, CPR A139/B178, CPR A137/B176, , Kant Schematism, Analytic Concepts, Transcendental Schematism, priori concepts, analytic principles, manifold intuition, empirical intuitions, actual determinations, concepts relate, categories priori, formal aspect, concepts understanding, apply intuitions, priori concepts understanding, categories priori concepts, schema product imagination,