Preprint Article Version 1 This version not peer reviewed

A New Kind of Aesthetics – The Mathematical Structure of the Aesthetic

Version 1 : Received: 9 June 2017 / Approved: 12 June 2017 / Online: 12 June 2017 (13:26:59 CEST)

A peer-reviewed article of this Preprint also exists.

Kubota, A.; Hori, H.; Naruse, M.; Akiba, F. A New Kind of Aesthetics —The Mathematical Structure of the Aesthetic. Philosophies 2017, 2, 14. Kubota, A.; Hori, H.; Naruse, M.; Akiba, F. A New Kind of Aesthetics —The Mathematical Structure of the Aesthetic. Philosophies 2017, 2, 14.

Journal reference: Philosophies 2017, 2, 14
DOI: 10.3390/philosophies2030014

Abstract

This paper proposes a new approach to investigation into the aesthetics. Specifically, it argues that it is possible to explain the aesthetic and its underlying dynamic relations with axiomatic structure (the octahedral axiom derived category) based on contemporary mathematics  namely, category theory  and through this argument suggests the possibility for discussion about the mathematical structure of the aesthetic. If there was a way to describe the structure of aesthetics with the language of mathematical structures and mathematical axioms  a language completely devoid of arbitrariness  then we would make possible a synthetical argument about the essential human activity of “the aesthetics”, and we would also gain a new method and viewpoint on the philosophy and meaning of the act of creating a work of art and artistic activities. This paper presents one hypothesis as a first step in constructing the science of dynamic generative aesthetics based on axiomatic functionalism, which is in turn based on a new interdisciplinary investigation into the functional structure of aesthetics.

Subject Areas

aesthetics; mathematical structure; category theory; natural intelligence

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