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

Art and Media Course, Department of Information Design, Tama Art University, 2-1723 Yarimizu, Hachioji,Tokyo 192-0394, Japan
Interdisciplinary Graduate School, University of Yamanashi, 4-3-11 Takeda, Kofu,Yamanashi 400-8511, Japan
Strategic Planning Department, National Institute of Information and Communications Technology, 4-2-1 Nukui-kita, Koganei, Tokyo 184-8795, Japan
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.
Philosophies 2017, 2(3), 14;
Received: 5 December 2016 / Revised: 17 June 2017 / Accepted: 27 June 2017 / Published: 30 June 2017
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
MDPI and ACS Style

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

AMA Style

Kubota A, Hori H, Naruse M, Akiba F. A New Kind of Aesthetics —The Mathematical Structure of the Aesthetic. Philosophies. 2017; 2(3):14.

Chicago/Turabian Style

Kubota, Akihiro, Hirokazu Hori, Makoto Naruse, and Fuminori Akiba. 2017. "A New Kind of Aesthetics —The Mathematical Structure of the Aesthetic" Philosophies 2, no. 3: 14.

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