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Book synopsis

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.

Book details

Book category Books in English Humanities Philosophy Philosophy: logic

• Full title: Pluralism in Mathematics: A New Position in Philosophy of Mathematics
• Author: Michele Friend
• Language: English
• Binding: Paperback
• Number of pages: 291
• EAN: 9789402402001
• ISBN: 9402402004
• ID: 13820658
• Publisher: Springer
• Weight: 488 g
• Dimensions: 155 × 234 × 21 mm
• Date of publishing: 23. August 2016

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