Mathematical structuralism
The present work is a systematic study of five frameworks or perspectives articulating mathematical structuralism, whose core idea is that mathematics is concerned primarily with interrelations in abstraction from the nature of objects. The first two, set-theoretic and category-theoretic, arose with...
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| Hauptverfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | No linguistic content |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2019
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| Schriftenreihe: | Cambridge elements
Elements in the philosophy of mathematics |
| Schlagworte: | |
| Online-Zugang: | DE-12 DE-473 URL des Erstveröffentlichers Volltext |
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| Zusammenfassung: | The present work is a systematic study of five frameworks or perspectives articulating mathematical structuralism, whose core idea is that mathematics is concerned primarily with interrelations in abstraction from the nature of objects. The first two, set-theoretic and category-theoretic, arose within mathematics itself. After exposing a number of problems, the book considers three further perspectives formulated by logicians and philosophers of mathematics: sui generis, treating structures as abstract universals, modal, eliminating structures as objects in favor of freely entertained logical possibilities, and finally, modal-set-theoretic, a sort of synthesis of the set-theoretic and modal perspectives |
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| Beschreibung: | Title from publisher's bibliographic system (viewed on 11 Dec 2018) |
| Beschreibung: | 1 Online-Ressource (92 pages) |
| ISBN: | 9781108582933 1108582931 9781108456432 |
| DOI: | 10.1017/9781108582933 |