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Pluralism in Mathematics : A New Position in Philosophy of Mathematics (Reprint) (Paperback)

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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.

Edition: Reprint
Genre: Science, Mathematics, Philosophy
Series Title: Logic, Epistemology, and the Unity of Science
Format: Paperback
Publisher: Springer Verlag
Author: Michu00e8le Friend
Language: English
Street Date: September 9, 2016
TCIN: 51637123
UPC: 9789402402001
Item Number (DPCI): 248-27-0080

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