Pluralism in Mathematics: A New Position in Philosophy of Mathematics / Logic, Epistemology, and the Unity of Science Bd.32 (PDF)
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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.
- Autor: Michèle Friend
- 2013, 2014, 291 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 9400770588
- ISBN-13: 9789400770584
- Erscheinungsdatum: 20.11.2013
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