Pluralism in mathematics [electronic resource] : a new position in philosophy of mathematics / Michèle Friend.

Pluralism in mathematics [electronic resource] : a new position in philosophy of mathematics / Michèle Friend.

9789400770584 electronic book
9400770588 electronic book
9789400770577

Dordrecht : Springer, 2014.

English

1 online resource (xvii, 291 pages) : illustrations.

10.1007/978-94-007-7058-4 doi

QA8.4

510.1

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.

Includes bibliographical references and index.

Access limited to authorized users.

Description based on online resource; title from PDF title page (SpringerLink, viewed November 25, 2013).

Logic, epistemology and the unity of science ; v.32. 2214-9775

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