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In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
About the Author xix
1 Numbers 1
2 Rigor 53
3 Infinity 87
4 Geometry 119
5 Proof 157
6 Computability 193
7 Incompleteness 225
8 Set Theory 225
Bibliography 303
Notation Index 315
Subject Index 319
| Erscheinungsjahr: | 2021 |
|---|---|
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Einband - flex.(Paperback) |
| ISBN-13: | 9780262542234 |
| ISBN-10: | 0262542234 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Hamkins, Joel David |
| Hersteller: | The MIT Press |
| Maße: | 222 x 177 x 22 mm |
| Von/Mit: | Joel David Hamkins |
| Erscheinungsdatum: | 09.03.2021 |
| Gewicht: | 0,658 kg |
About the Author xix
1 Numbers 1
2 Rigor 53
3 Infinity 87
4 Geometry 119
5 Proof 157
6 Computability 193
7 Incompleteness 225
8 Set Theory 225
Bibliography 303
Notation Index 315
Subject Index 319
| Erscheinungsjahr: | 2021 |
|---|---|
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Einband - flex.(Paperback) |
| ISBN-13: | 9780262542234 |
| ISBN-10: | 0262542234 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Hamkins, Joel David |
| Hersteller: | The MIT Press |
| Maße: | 222 x 177 x 22 mm |
| Von/Mit: | Joel David Hamkins |
| Erscheinungsdatum: | 09.03.2021 |
| Gewicht: | 0,658 kg |
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