Overview
- 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
Part of the book series: Logic, Epistemology, and the Unity of Science (LEUS, volume 32)
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Table of contents (16 chapters)
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Front Matter
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Motivations for the Pluralist Position; Considerations from Familiar Positions
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Front Matter
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Initial Presentation of Pluralism
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Front Matter
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Transcendental Presentation of Pluralism
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Front Matter
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Putting Pluralism to Work: Applications
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Front Matter
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Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Pluralism in Mathematics: A New Position in Philosophy of Mathematics
Authors: Michèle Friend
Series Title: Logic, Epistemology, and the Unity of Science
DOI: https://doi.org/10.1007/978-94-007-7058-4
Publisher: Springer Dordrecht
eBook Packages: Humanities, Social Sciences and Law, Philosophy and Religion (R0)
Copyright Information: Springer Science+Business Media Dordrecht 2014
Hardcover ISBN: 978-94-007-7057-7Published: 04 December 2013
Softcover ISBN: 978-94-024-0200-1Published: 23 August 2016
eBook ISBN: 978-94-007-7058-4Published: 20 November 2013
Series ISSN: 2214-9775
Series E-ISSN: 2214-9783
Edition Number: 1
Number of Pages: XVII, 291
Number of Illustrations: 16 b/w illustrations
Topics: Philosophy of Science, Mathematical Logic and Foundations, Logic