What is … the connection between the Kantian Intuition of Mathematical Objects and Diagrams?

This page hosts information on Özge Ekin's talk "What is … the connection between the Kantian Intuition of Mathematical Objects and Diagrams?" at the "What is …?" seminar. The talk will take place on Friday, January 27, 4:00pm at the BMS Lounge in TU, MA 004.

Abstract

In this talk, I will reveal the connection between particular representations (symbols, diagrams) and the Kantian intuition of mathematical objects. I will construct an interpretation of Kant's philosophy of mathematics that explains the requirement of pure intuitions, space and time and reveals the a priori nature of mathematics in Kant's doctrine. Kantian characterization of mathematics exposes a different reasoning model from the current method of mathematics, namely the formal sentential reasoning. I argue that by understanding this approach and by recognizing the roles of diagrams in mathematics, it is possible to realize the advantages of heterogeneous reasoning in mathematics.

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