Conceptions of set and the foundations of mathematics:
Sets are central to mathematics and its foundations, but what are they? In this book Luca Incurvati provides a detailed examination of all the major conceptions of set and discusses their virtues and shortcomings, as well as introducing the fundamentals of the alternative set theories with which the...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, United Kingdom ; New York, USA ; Port Melbourne, Australia ; New Delhi, India ; Singapore
Cambridge University Press
2020
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 FUBA1 TUM01 UBA01 UBG01 URL des Erstveröffentlichers |
| Zusammenfassung: | Sets are central to mathematics and its foundations, but what are they? In this book Luca Incurvati provides a detailed examination of all the major conceptions of set and discusses their virtues and shortcomings, as well as introducing the fundamentals of the alternative set theories with which these conceptions are associated. He shows that the conceptual landscape includes not only the naive and iterative conceptions but also the limitation of size conception, the definite conception, the stratified conception and the graph conception. In addition, he presents a novel, minimalist account of the iterative conception which does not require the existence of a relation of metaphysical dependence between a set and its members. His book will be of interest to researchers and advanced students in logic and the philosophy of mathematics |
| Beschreibung: | 1 Online-Ressource (xv, 238 Seiten) Illustrationen |
| ISBN: | 9781108596961 |
| DOI: | 10.1017/9781108596961 |
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| author | Incurvati, Luca ca. 20./21. Jh |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:43:38Z |
| institution | BVB |
| isbn | 9781108596961 |
| language | English |
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| spelling | Incurvati, Luca ca. 20./21. Jh. Verfasser (DE-588)1205267743 aut Conceptions of set and the foundations of mathematics Luca Incurvati (University of Amsterdam) Cambridge, United Kingdom ; New York, USA ; Port Melbourne, Australia ; New Delhi, India ; Singapore Cambridge University Press 2020 1 Online-Ressource (xv, 238 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier Sets are central to mathematics and its foundations, but what are they? In this book Luca Incurvati provides a detailed examination of all the major conceptions of set and discusses their virtues and shortcomings, as well as introducing the fundamentals of the alternative set theories with which these conceptions are associated. He shows that the conceptual landscape includes not only the naive and iterative conceptions but also the limitation of size conception, the definite conception, the stratified conception and the graph conception. In addition, he presents a novel, minimalist account of the iterative conception which does not require the existence of a relation of metaphysical dependence between a set and its members. His book will be of interest to researchers and advanced students in logic and the philosophy of mathematics Set theory Mengenlehre (DE-588)4074715-3 gnd rswk-swf Mengenlehre (DE-588)4074715-3 s DE-188 Erscheint auch als Druck-Ausgabe, Hardcover 978-1-108-49782-4 https://doi.org/10.1017/9781108596961 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Incurvati, Luca ca. 20./21. Jh Conceptions of set and the foundations of mathematics Set theory Mengenlehre (DE-588)4074715-3 gnd |
| subject_GND | (DE-588)4074715-3 |
| title | Conceptions of set and the foundations of mathematics |
| title_auth | Conceptions of set and the foundations of mathematics |
| title_exact_search | Conceptions of set and the foundations of mathematics |
| title_full | Conceptions of set and the foundations of mathematics Luca Incurvati (University of Amsterdam) |
| title_fullStr | Conceptions of set and the foundations of mathematics Luca Incurvati (University of Amsterdam) |
| title_full_unstemmed | Conceptions of set and the foundations of mathematics Luca Incurvati (University of Amsterdam) |
| title_short | Conceptions of set and the foundations of mathematics |
| title_sort | conceptions of set and the foundations of mathematics |
| topic | Set theory Mengenlehre (DE-588)4074715-3 gnd |
| topic_facet | Set theory Mengenlehre |
| url | https://doi.org/10.1017/9781108596961 |
| work_keys_str_mv | AT incurvatiluca conceptionsofsetandthefoundationsofmathematics |