Pluralism in Mathematics: A New Position in Philosophy of Mathematics
This book is about philosophy, mathematics and logic, giving a philosophical account of Pluralism which is a family of positions in the philosophy of mathematics. There are four parts to this book, beginning with a look at motivations for Pluralism by way of Realism, Maddy's Naturalism, Shapiro...
| Published in: | Springer eBooks |
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| Main Author: | |
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer Netherlands : Imprint: Springer,
2014.
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| Series: | Logic, Epistemology, and the Unity of Science,
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| Subjects: | |
| Online Access: | http://dx.doi.org/10.1007/978-94-007-7058-4 Перейти в каталог НБ ТГУ |
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| 100 | 1 | |a Friend, Michèle. |e author. |9 314457 | |
| 245 | 1 | 0 | |a Pluralism in Mathematics: A New Position in Philosophy of Mathematics |h electronic resource |c by Michèle Friend. |
| 260 | |a Dordrecht : |b Springer Netherlands : |b Imprint: Springer, |c 2014. |9 710710 | ||
| 300 | |a XVII, 291 p. 16 illus. |b online resource. | ||
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| 490 | 1 | |a Logic, Epistemology, and the Unity of Science, |x 2214-9775 ; |v 32 | |
| 505 | 0 | |a Introduction -- Part I. Motivating the Pluralist Position from Familiar Positions -- Chapter 1. Introduction. The Journey from Realism to Pluralism -- Chapter 2. Motivating Pluralism. Starting from Maddy's Naturalism -- Chapter 3. From Structuralism to Pluralism -- Chapter 4. Formalism and Pluralism Co-written with Andrea Pedeferri -- Part II. Initial Presentation of Pluralism.- Chapter 5. Philosophical Presentation of Pluralism -- Chapter 6. Using a Formal Theory of Logic Metaphorically -- Chapter 7. Rigour in Proof Co-written with Andrea Pedeferri -- Chapter 8. Mathematical Fixtures -- Part III. Transcendental Presentation of Pluralism -- Chapter 9. The Paradoxes of Tolerance and the Transcendental Paradoxes -- Chapter 10. Pluralism Towards Pluralism -- Part IV. Putting Pluralism to Work. Applications -- Chapter 11. A Pluralist Approach to Proof in Mathematics -- Chapter 12. Pluralism and Together-Inconsistent Philosophies of Mathematics -- Chapter 13. Suggestions for Further Pluralist Enquiry -- Conclusion. | |
| 520 | |a This book is about philosophy, mathematics and logic, giving a philosophical account of Pluralism which is a family of positions in the philosophy of mathematics. There are four parts to this book, beginning with a look at motivations for Pluralism by way of Realism, Maddy's Naturalism, Shapiro's Structuralism and Formalism. In the second part of this book the author covers: the philosophical presentation of Pluralism; using a formal theory of logic metaphorically; rigour and proof for the Pluralist; and mathematical fixtures. In the third part the author goes on to focus on the transcendental presentation of Pluralism, and in part four looks at applications of Pluralism, such as a Pluralist approach to proof in mathematics and how Pluralism works in regard to together-inconsistent philosophies of mathematics. The book finishes with suggestions for further Pluralist enquiry. In this work the author takes a deeply radical approach in developing a new position that will either convert readers, or act as a strong warning to treat the word 'pluralism' with care. . | ||
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