Mathematical structuralism:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | No linguistic content, Not applicable |
| Published: |
Cambridge
Cambridge University Press
2019
|
| Series: | Cambridge elements
Elements in the philosophy of mathematics |
| Subjects: | |
| Links: | https://doi.org/10.1017/9781108582933 https://doi.org/10.1017/9781108582933 https://doi.org/10.1017/9781108582933 https://doi.org/10.1017/9781108582933 |
| Abstract: | 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 |
| Item Description: | Title from publisher's bibliographic system (viewed on 11 Dec 2018) |
| Physical Description: | 1 Online-Ressource (92 pages) |
| ISBN: | 9781108582933 1108582931 9781108456432 |
| DOI: | 10.1017/9781108582933 |
Staff View
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| id | DE-604.BV045510164 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T18:28:58Z |
| institution | BVB |
| isbn | 9781108582933 1108582931 9781108456432 |
| language | No linguistic content |
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| physical | 1 Online-Ressource (92 pages) |
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| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | Cambridge University Press |
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| series2 | Cambridge elements Elements in the philosophy of mathematics |
| spelling | Hellman, Geoffrey 1943- Verfasser (DE-588)1169845142 aut Mathematical structuralism Geoffrey Hellman, Stewart Shapiro Cambridge Cambridge University Press 2019 1 Online-Ressource (92 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge elements Elements in the philosophy of mathematics Title from publisher's bibliographic system (viewed on 11 Dec 2018) 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 Strukturalismus (DE-588)4058129-9 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s Strukturalismus (DE-588)4058129-9 s Philosophie (DE-588)4045791-6 s 1\p DE-604 Shapiro, Stewart 1951- Verfasser (DE-588)131540564 aut Erscheint auch als Druck-Ausgabe, hardback Erscheint auch als Druck-Ausgabe, paperback https://doi.org/10.1017/9781108582933 Verlag URL des Erstveröffentlichers Volltext https://doi.org/10.1017/9781108582933 Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hellman, Geoffrey 1943- Shapiro, Stewart 1951- Mathematical structuralism Strukturalismus (DE-588)4058129-9 gnd Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4058129-9 (DE-588)4045791-6 (DE-588)4037944-9 |
| title | Mathematical structuralism |
| title_auth | Mathematical structuralism |
| title_exact_search | Mathematical structuralism |
| title_full | Mathematical structuralism Geoffrey Hellman, Stewart Shapiro |
| title_fullStr | Mathematical structuralism Geoffrey Hellman, Stewart Shapiro |
| title_full_unstemmed | Mathematical structuralism Geoffrey Hellman, Stewart Shapiro |
| title_short | Mathematical structuralism |
| title_sort | mathematical structuralism |
| topic | Strukturalismus (DE-588)4058129-9 gnd Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Strukturalismus Philosophie Mathematik |
| url | https://doi.org/10.1017/9781108582933 |
| work_keys_str_mv | AT hellmangeoffrey mathematicalstructuralism AT shapirostewart mathematicalstructuralism |