التفاصيل البيبلوغرافية
| العنوان: |
Taming the infinite: Fréchet and compactness |
| المؤلفون: |
Bertin, Pascal, Jaeck, Frédéric |
| المساهمون: |
Sciences, Philosophie, Histoire (SPHERE (UMR_7219)), Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS), Sciences, Philosophie, Histoire (SPHERE UMR 7219), Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Frédéric Jaëck, Laurent Mazliak |
| المصدر: |
Maurice Fréchet: Mathematics, the abstract and the concrete ; https://shs.hal.science/halshs-04232337 ; Maurice Fréchet: Mathematics, the abstract and the concrete, Frédéric Jaëck; Laurent Mazliak, Oct 2023, Paris (IHP), France |
| بيانات النشر: |
HAL CCSD |
| سنة النشر: |
2023 |
| مصطلحات موضوعية: |
Infinity, compactness, [SHS.PHIL]Humanities and Social Sciences/Philosophy, [SHS.HISPHILSO]Humanities and Social Sciences/History, Philosophy and Sociology of Sciences |
| جغرافية الموضوع: |
Paris (IHP), France |
| الوصف: |
International audience ; From his first works, Fréchet envisages, in a search for generality, the passage from functions defined on the real line to functions defined on abstract spaces. In order to guarantee the generalization of well-known theorems to the real case, Fréchet proposes various (pre-)topological notions and in particular a definition of compactness which is his own. Our philosophical approach is to show how Fréchet's notion of compactness is a particular way of working with and mastering an infinity linked to his notion of abstract space. We will show that this relation to infinity is different from the one we hear nowadays when we talk about compactness in elementary topology. |
| نوع الوثيقة: |
conference object |
| اللغة: |
English |
| Relation: |
halshs-04232337; https://shs.hal.science/halshs-04232337 |
| الاتاحة: |
https://shs.hal.science/halshs-04232337 |
| رقم الانضمام: |
edsbas.8B46939E |
| قاعدة البيانات: |
BASE |