Mathematics and Aesthetics in Kantian Perspectives

In Peter Cassaza, Steven G. Krantz & Randi R. Ruden (eds.), I, Mathematician II. Further Introspections on the Mathematical Life. The Consortium of Mathematics and its Applications. pp. 93-106 (2016)
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Abstract

This essay will inform the reader about Kant’s views on mathematics and aesthetics. It will also critically discuss these views and offer further suggestions and personal opinions from the author’s side. Kant (1724-1804) was not a mathematician, nor was he an artist. One must even admit that he had little understanding of higher mathematics and that he did not have much of a theory that could be called a “philosophy of mathematics” either. But he formulated a very influential aesthetic theory that is contained in his “Critique of the Power of Aesthetic Judgment” (1790), and his views on mathematics, especially those that compare it with philosophy, are distinctive and worthy of our attention. Hence, combining mathematics and aesthetics, asking whether mathematics can be beautiful and why and how it can or cannot be so called, according to Kant’s theory, will be particularly interesting. This essay has three parts: it discusses mathematics, aesthetics, and the aesthetics of mathematics, primarily in Kantian perspectives but also in ways that critically evaluate those perspectives.

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Christian Wenzel
National Taiwan University

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