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Philosophies 2017, 2(3), 14; doi:10.3390/philosophies2030014

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

1
Art and Media Course, Department of Information Design, Tama Art University, 2-1723 Yarimizu, Hachioji,Tokyo 192-0394, Japan
2
Interdisciplinary Graduate School, University of Yamanashi, 4-3-11 Takeda, Kofu,Yamanashi 400-8511, Japan
3
Strategic Planning Department, National Institute of Information and Communications Technology, 4-2-1 Nukui-kita, Koganei, Tokyo 184-8795, Japan
4
Philosophy of Information Group, Department of Systems and Social Informatics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, Aichi 464-8601, Japan
*
Author to whom correspondence should be addressed.
Received: 5 December 2016 / Revised: 17 June 2017 / Accepted: 27 June 2017 / Published: 30 June 2017
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Abstract

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. View Full-Text
Keywords: aesthetics; mathematical structure; category theory; natural intelligence aesthetics; mathematical structure; category theory; natural intelligence
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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

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