Mathematics and its logics: philosophical essays
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, VIC, Australia ; New Delhi, India ; Singapore
Cambridge University Press
2021
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | vii, 286 Seiten |
| ISBN: | 1108494188 9781108494182 |
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Datensatz im Suchindex
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| adam_text | Contents Acknowledgements Introduction Part I Structuralism, Extendability, and Nominalism page vii 1 17 1 Structuralism without Structures 19 2 What Is Categorical Structuralism? 43 3 On the Significance of the Burali-Forti Paradox 54 4 Extending the Iterative Conception of Set: A Height-Potentialist Perspective 61 5 74 On Nominalism 6 Maoist Mathematics? Critical Study of John Burgess and Gideon Rosen, A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics (Oxford, 1997) Partii Predicative Mathematics and Beyond 7 Predicative Foundations of Arithmetic (with Solomon Feferman) 8 Challenges to Predicative Foundations of Arithmetic (with Solomon Feferman) 9 Predicativism as a Philosophical Position 10 On the Gödel-Friedman Program Part III 11 Logics of Mathematics Logical Truth by Linguistic Convention 88 101 103 117 139 154 173 175
12 Never Say “Never”! On the Communication Problem between Intuiţionism and Classicism 13 Constructive Mathematics and Quantum Mechanics : Unbounded Operators and the SpectralTheorem 14 If “If-Then” Then What? 15 Mathematical Pluralism: The Case of Smooth Infinitesimal Analysis Index 191 212 237 256 284
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| adam_txt |
Contents Acknowledgements Introduction Part I Structuralism, Extendability, and Nominalism page vii 1 17 1 Structuralism without Structures 19 2 What Is Categorical Structuralism? 43 3 On the Significance of the Burali-Forti Paradox 54 4 Extending the Iterative Conception of Set: A Height-Potentialist Perspective 61 5 74 On Nominalism 6 Maoist Mathematics? Critical Study of John Burgess and Gideon Rosen, A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics (Oxford, 1997) Partii Predicative Mathematics and Beyond 7 Predicative Foundations of Arithmetic (with Solomon Feferman) 8 Challenges to Predicative Foundations of Arithmetic (with Solomon Feferman) 9 Predicativism as a Philosophical Position 10 On the Gödel-Friedman Program Part III 11 Logics of Mathematics Logical Truth by Linguistic Convention 88 101 103 117 139 154 173 175
12 Never Say “Never”! On the Communication Problem between Intuiţionism and Classicism 13 Constructive Mathematics and Quantum Mechanics : Unbounded Operators and the SpectralTheorem 14 If “If-Then” Then What? 15 Mathematical Pluralism: The Case of Smooth Infinitesimal Analysis Index 191 212 237 256 284 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| index_date | 2024-07-03T15:58:43Z |
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| isbn | 1108494188 9781108494182 |
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