Pluralism in Mathematics: A New Position in Philosophy of Mathematics
Authors: Friend, Michèle
Free Preview- Offers a radical approach, developing a position on Pluralism
- Provides a cross disciplinary approach, drawing upon mathematical positions whilst presenting a philosophical account
- Scrutinizes the transcendental presentation of Pluralism
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- About this book
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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.
- Table of contents (16 chapters)
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Introduction
Pages 1-4
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The Journey from Realism to Pluralism
Pages 7-30
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Motivating Maddy’s Naturalist to Adopt Pluralism
Pages 31-50
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From Structuralism to Pluralism
Pages 51-77
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Formalism and Pluralism
Pages 79-100
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Table of contents (16 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Pluralism in Mathematics: A New Position in Philosophy of Mathematics
- Authors
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- Michèle Friend
- Series Title
- Logic, Epistemology, and the Unity of Science
- Series Volume
- 32
- Copyright
- 2014
- Publisher
- Springer Netherlands
- Copyright Holder
- Springer Science+Business Media Dordrecht
- eBook ISBN
- 978-94-007-7058-4
- DOI
- 10.1007/978-94-007-7058-4
- Hardcover ISBN
- 978-94-007-7057-7
- Softcover ISBN
- 978-94-024-0200-1
- Series ISSN
- 2214-9775
- Edition Number
- 1
- Number of Pages
- XVII, 291
- Number of Illustrations
- 16 b/w illustrations
- Topics
