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

Philosophies

Kubota, Akihiro¹ 

关键词: aesthetics;    mathematical structure;    category theory;    natural intelligence;   

DOI  :  10.3390/philosophies2030014

学科分类：社会科学、人文和艺术（综合）

来源: mdpi

【 摘 要 】

This paper proposes a new approach to the investigation into aesthetics. Specifically, it~argues that it is possible to explain the aesthetic and its underlying dynamic relations with an~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 were a way to describe the structure of the aesthetic with the language of mathematical structures and mathematical axioms---a~language completely devoid of arbitrariness---then we would make possible a universal argument about the essential human activity of ``the aesthetic'', and we would also gain a new method and viewpoint into the philosophy and meaning of the act of creating a work of art and artistic activities. This paper presents one mathematical structure as a foundation in constructing the science of dynamic aesthetics based on axiomatic functionalism, which is in turn based on a new interdisciplinary investigation into the generative structure of the aesthetic.

【 授权许可】

CC BY