Kant on the Mathematical Principles of Pure Understanding

In this talk, I aim to describe how the so-called “Mathematical” Principles of Pure Understanding (i.e., the principles of transcendental philosophy comprising the Axioms of Intuition and the Anticipations of Perception) relate to the principles of mathematics (i.e., the original and fundamental truths that ground the discipline of mathematics.) Along the way, I will discuss Kant’s notion of mathematical representation, as well as the role that his theory of sensibility plays in his understanding of the foundations and laws of mathematics.

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