(Download) "Pluralism in Mathematics: A New Position in Philosophy of Mathematics" by Michèle Friend * eBook PDF Kindle ePub Free
eBook details
- Title: Pluralism in Mathematics: A New Position in Philosophy of Mathematics
- Author : Michèle Friend
- Release Date : January 20, 2013
- Genre: Science & Nature,Books,Nonfiction,Philosophy,Mathematics,
- Pages : * pages
- Size : 2267 KB
Description
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.
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