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

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## Abstract

**:**

## 1. Introduction

## 2. Method of Research

## 3. Elementary Process of the Aesthetic

## 4. Introduction of the Environmental Condition

P | observer |

Q | aesthetic object |

X | aesthetic concept |

Y | aesthetic state |

M | generation factor of aesthetic object |

F | analysis results of aesthetic state |

## 5. Introduction of Time

## 6. Triangulated Category and Octahedron Structure

${P}^{\u2022}$ | observer |

${Q}^{\u2022}$ | aesthetic object |

${X}^{\u2022}$ | aesthetic concept |

${Y}^{\u2022}$ | aesthetic state |

${M}^{\u2022}$ | generation factor of aesthetic object |

${F}^{\u2022}$ | analysis result of aesthetic state |

## 7. Aesthetic Activity and Time Evolution

**Aesthetic contemplation**

**Artwork criticism**

**Artwork production**

**Aesthetic experience**

## 8. Conclusions

## Acknowledgments

## Author Contributions

## Conflicts of Interest

## References

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1. | All the elements of G can be divided without redundancy using normal Subgroup H of Group G. |

2. | If the sequence $0\to A\to B$ is exact at A, that map is a monomorphism (injective or one-to-one). If the sequence $B\to C\to 0$ is exact at C, that map is an epimorphism (surjective or onto). |

Artwork Criticism | Aesthetic Experience | ||||||||
---|---|---|---|---|---|---|---|---|---|

0 | 0 | ||||||||

↓ | ↓ | ||||||||

0 | → | generation factor of aesthetic object | → | aesthetic concept | → | observer | → | 0 | Aesthetic contemplation |

↓ | ↓ | ↓ | |||||||

0 | → | generation factor of aesthetic object | → | aesthetic object | → | aesthetic state | → | 0 | Artwork production |

↓ | ↓ | ||||||||

analysis result of aesthetic state | → | analysis result of aesthetic state | |||||||

↓ | ↓ | ||||||||

0 | 0 |

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**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.
https://doi.org/10.3390/philosophies2030014

**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.
https://doi.org/10.3390/philosophies2030014

**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.
https://doi.org/10.3390/philosophies2030014