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“Cathedral Builders”: Mathematics and the Sublimeстатья
- Автор: Shaposhnikov Vladislav
- Журнал: Edukacja Filozoficzna
- Номер: 68
- Год издания: 2019
- Издательство: University of Warsaw
- Местоположение издательства: Poland
- Первая страница: 195
- Последняя страница: 226
- DOI: 10.14394/edufil.2019.0022
- Аннотация: The paper deals with aesthetic and religious dimensions of mathematics. These dimensions are considered as closely connected, though reciprocally non-reducible. “Mathematical beauty” is already firmly established as a term in the philosophy of mathematics. Here, an attempt is made to bring forward two additional candidates: “mathematical sublime” and “numinous mathematics”. The last oneis meant to designate the recognition of some mathematical practices as inspiring anticipation of the meeting with the divine reality or producing a feeling of its presence. The first one is used here to designate the related feelings in disguise, i.e., being reinterpreted or transferred from the straightforwardly religious to the aesthetic sphere. Taking Kant’s theory of the sublime as a starting point, the paper introduces a related account of it that treats mathematical beauty through mathematical sublimity as a more fundamental category. Within this account, religious experience, the aesthetics of the sublime and mathematical practice are closely interlinked through an appropriate interpretation of the idea of the infinite. Both mathematical and art symbolism are seen as an endeavour to represent the infinite within the finite, which correlates well with the definition of mathematics as “the science of the infinite” (Hermann Weyl).Keywords: philosophy of mathematics, philosophy of mathematical practice, mathematical aims, mathematical beauty, the sublime, numinous, the infinite, symbolism.
- Добавил в систему: Шапошников Владислав Алексеевич
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | Полный текст | Shaposhnikov_V._-_Cathedral_Builders_2019.pdf | 324,2 КБ | 23 июня 2020 [vladshaposhnikov] |