logo Scopus logo Web Of Science logo ERIH PLUS logo Visegrad Fund logo CEJSH The electronic version of Estetika: The Central European Journal of Aesthetics is available at: http://www.ceeol.com
The electronic version of Estetika: The Central European Journal of Aesthetics is available at: www.ceeol.com

2/2019

LVI (New Series: XII)
Issued: September 2019
Biannual
Founded: 1964
Re-established as an international journal: 2008
ISSN: 0014-1291 (Print)
ISSN: 2571-0915 (On-line)
Language: English

Artistic Proofs: A Kantian Approach to Aesthetics in Mathematics

http://aesthetics.ff.cuni.cz/archive/537/artistic-proofs-a-kantian-approach-to-aesthetics-in-mathematics

 

This paper explores the nature of mathematical beauty from a Kantian perspective. According to Kant’s Critique of the Power of Judgment, satisfaction in beauty is subjective and non-conceptual, yet a proof can be beautiful even though it relies on concepts. I propose that, much like art creation, the formulation and study of a complex demonstration involves multiple and progressive interactions between the freely original imagination and taste (that is, the aesthetic power of judgement). Such a proof is artistic insofar as it is guided by beauty, namely, the mere feeling about the imagination’s free lawfulness. The beauty in a proof’s process and the perfection in its completion together facilitate a transition from subjective to objective purposiveness, a transition that Kant himself does not address in the third Critique.