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This clear and engaging book takes a unique approach, encompassing non-standard topics such as the role of visual reasoning, the importance of notation, and the place of computers in mathematics, as well as traditional topics such as formalism, Platonism, and constructivism. The combination of topics and clarity of presentation make it suitable for beginners and experts alike. The revised and updated second edition of Philosophy of Mathematics contains more examples, suggestions for further reading, and expanded material on several topics including a novel approach to the continuum hypothesis.
This clear and engaging book takes a unique approach, encompassing non-standard topics such as the role of visual reasoning, the importance of notation, and the place of computers in mathematics, as well as traditional topics such as formalism, Platonism, and constructivism. The combination of topics and clarity of presentation make it suitable for beginners and experts alike. The revised and updated second edition of Philosophy of Mathematics contains more examples, suggestions for further reading, and expanded material on several topics including a novel approach to the continuum hypothesis.
James Robert Brown is Professor of Philosophy at the University of Toronto, Canada.
Preface and Acknowledgements 1. Introduction: The Mathematical Image 2. Platonism 3. Picture-Proofs and Platonism 4. What is Applied Mathematics? 5. Hilbert and Gödel 6. Knots and Notation 7. What is a Definition? 8. Constructive Approaches 9. Proofs, Pictures and Procedures in Wittgenstein 10. Computation, Proof and Conjecture 11. How to Refute the Continuum Hypothesis 12. Calling the Bluff. Notes. Bibliography. Index
| Erscheinungsjahr: | 2008 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Thema: | Lexika |
| Medium: | Taschenbuch |
| Inhalt: | Einband - flex.(Paperback) |
| ISBN-13: | 9780415960472 |
| ISBN-10: | 0415960479 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Brown, James Robert |
| Auflage: | 2. Auflage |
| Hersteller: | Routledge |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 234 x 156 x 14 mm |
| Von/Mit: | James Robert Brown |
| Erscheinungsdatum: | 15.01.2008 |
| Gewicht: | 0,406 kg |
James Robert Brown is Professor of Philosophy at the University of Toronto, Canada.
Preface and Acknowledgements 1. Introduction: The Mathematical Image 2. Platonism 3. Picture-Proofs and Platonism 4. What is Applied Mathematics? 5. Hilbert and Gödel 6. Knots and Notation 7. What is a Definition? 8. Constructive Approaches 9. Proofs, Pictures and Procedures in Wittgenstein 10. Computation, Proof and Conjecture 11. How to Refute the Continuum Hypothesis 12. Calling the Bluff. Notes. Bibliography. Index
| Erscheinungsjahr: | 2008 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Thema: | Lexika |
| Medium: | Taschenbuch |
| Inhalt: | Einband - flex.(Paperback) |
| ISBN-13: | 9780415960472 |
| ISBN-10: | 0415960479 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Brown, James Robert |
| Auflage: | 2. Auflage |
| Hersteller: | Routledge |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 234 x 156 x 14 mm |
| Von/Mit: | James Robert Brown |
| Erscheinungsdatum: | 15.01.2008 |
| Gewicht: | 0,406 kg |
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