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無限を描く試み : パーヴェル・ブロレンスキイの数理的宇宙モデル
https://doi.org/10.15083/00035596
https://doi.org/10.15083/00035596c3715d01-39cd-4d5c-8c47-ca451233cfd2
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
NCk_20_004.pdf (751.5 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2017-05-16 | |||||
| タイトル | ||||||
| タイトル | 無限を描く試み : パーヴェル・ブロレンスキイの数理的宇宙モデル | |||||
| 言語 | ||||||
| 言語 | jpn | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| ID登録 | ||||||
| ID登録 | 10.15083/00035596 | |||||
| ID登録タイプ | JaLC | |||||
| その他のタイトル | ||||||
| その他のタイトル | Pavel Florensky’s mathematical cosmology | |||||
| 著者 |
細川, 瑠璃
× 細川, 瑠璃 |
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| 著者別名 | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 85841 | |||||
| 姓名 | HOSOKAWA, Ruri | |||||
| 著者所属 | ||||||
| 著者所属 | 東京大学大学院総合文化研究科 | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | Pavel Alexandrovich Florensky (1882-1937), philosopher, priest, scientist and mathematician, showed a unique cosmology in Imaginary points in geometry. He argues that from the viewpoint of the theory of general relativity the cosmos must be closed non-Euclidean space. His conclusion is that the Ptolemaic system, central to the cosmos of Dante's Divine Comedy, is valid. This study addresses the interpretation of Florensky's cosmology, focusing especially on his thought related to mathematics and space. The cosmos, for Florensky, consists of two spheres: the terrestrial sphere, which real number represents, and the celestial sphere, which imaginary number represents. These two spheres are united discontinuously and form the whole. The essential concepts in Florensky's mathematical thought are discontinuity and actual infinity. Under the influence of Nikolai Bugaev(1837-1903), a prominent mathematician in the 19th century, Florensky studied discontinuous function and then applied the concept of discontinuity to various studies beyond mathematics. Florensky argues that the concept of continuity is dominant in every field in the 19th century. However, not all phenomena are explained by continuity and furthermore, discontinuity precedes continuity. Non-Euclidean space is discontinuous on his view. Actual infinity, the concept of which was invented in the set theory of Georg Cantor, is related to discontinuity. While potential infinity is conceived as infinite process, actual infinity, which is larger than any other number, is regarded as a mathematical real existence. Florensky expands the concept of actual infinity into the theological thought and describes God as actual infinity. Florensky's cosmology, which is featured by non-Euclidean space and discontinuity, must be seen as an attempt to overcome the values of the 19th century and to visualize the whole relation between the earth and God, describing God as actual infinity. | |||||
| 書誌情報 |
年報地域文化研究 = The Komaba journal of area studies, the University of Tokyo 巻 20, p. 68-89, 発行日 2017-03-31 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13439103 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11222699 | |||||
| 出版者 | ||||||
| 出版者 | 『年報 地域文化研究』編集委員会 | |||||
| 出版者 | ||||||
| 出版者 | 東京大学大学院総合文化研究科地域文化研究専攻 | |||||
