Logic, Epistemology, and the Unity of Science

Pluralism in Mathematics: A New Position in Philosophy of Mathematics

Authors: Friend, Michèle

  • 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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  • ISBN 978-94-007-7058-4
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Hardcover $129.00
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  • ISBN 978-94-007-7057-7
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Softcover $129.00
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  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 6, 2016
  • ISBN 978-94-024-0200-1
  • Free shipping for individuals worldwide
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.  

Table of contents (16 chapters)

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-94-007-7058-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-94-007-7057-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 6, 2016
  • ISBN 978-94-024-0200-1
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Pluralism in Mathematics: A New Position in Philosophy of Mathematics
Authors
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 and Tables
16 b/w illustrations
Topics