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Mathematics is a model of precision and objectivity, but it appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers, sets, and functions. How can these two aspects of mathematics be reconciled? This concise book provides a systematic, accessible introduction to the field that is trying to answer that question: the philosophy of mathematics. Øystein Linnebo, one of the world's leading scholars on the subject, introduces all of the classical approaches to the field as well as more specialized issues, including mathematical intuition, potential infinity, and the search for new mathematical axioms. Sophisticated but clear and approachable, this is an essential book for all students and teachers of philosophy and of mathematics.
Mathematics is a model of precision and objectivity, but it appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers, sets, and functions. How can these two aspects of mathematics be reconciled? This concise book provides a systematic, accessible introduction to the field that is trying to answer that question: the philosophy of mathematics. Øystein Linnebo, one of the world's leading scholars on the subject, introduces all of the classical approaches to the field as well as more specialized issues, including mathematical intuition, potential infinity, and the search for new mathematical axioms. Sophisticated but clear and approachable, this is an essential book for all students and teachers of philosophy and of mathematics.
- Acknowledgments
- Introduction
- CHAPTER ONE
- Mathematics as a Philosophical Challenge
- CHAPTER TWO
- Frege’s Logicism
- CHAPTER THREE
- Formalism and Deductivism
- CHAPTER FOUR
- Hilbert’s Program
- CHAPTER FIVE
- Intuitionism
- CHAPTER SIX
- Empiricism about Mathematics
- CHAPTER SEVEN
- Nominalism
- CHAPTER EIGHT
- Mathematical Intuition
- CHAPTER NINE
- Abstraction Reconsidered
- CHAPTER TEN
- The Iterative Conception of Sets
- CHAPTER ELEVEN
- Structuralism
- CHAPTER TWELVE
- The Quest for New Axioms
- Concluding Remarks
- Bibliography
- Index
| Erscheinungsjahr: | 2020 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Importe, Philosophie |
| Jahrhundert: | Antike |
| Rubrik: | Geisteswissenschaften |
| Thema: | Lexika |
| Medium: | Taschenbuch |
| Reihe: | Princeton Foundations of Contemporary Philosophy |
| Inhalt: | Einband - flex.(Paperback) |
| ISBN-13: | 9780691202297 |
| ISBN-10: | 069120229X |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Linnebo, Øystein |
| Hersteller: | Princeton Univers. Press |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 216 x 140 x 13 mm |
| Von/Mit: | Øystein Linnebo |
| Erscheinungsdatum: | 17.04.2020 |
| Gewicht: | 0,311 kg |
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