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|a 10.1007/978-94-007-7058-4
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|a Friend, Michèle.
|e author.
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|a Pluralism in Mathematics: A New Position in Philosophy of Mathematics
|h [electronic resource] /
|c by Michèle Friend.
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|a Dordrecht :
|b Springer Netherlands :
|b Imprint: Springer,
|c 2014.
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|a XVII, 291 p. 16 illus.
|b online resource.
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|a text
|b txt
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|a Logic, Epistemology, and the Unity of Science,
|x 2214-9775 ;
|v 32
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|a Introduction -- Part I. Motivating the Pluralist Position from Familiar Positions -- Chapter 1. Introduction. The Journey from Realism to Pluralism -- Chapter 2. Motivating Pluralism. Starting from Maddy’s Naturalism -- Chapter 3. From Structuralism to Pluralism -- Chapter 4. Formalism and Pluralism Co-written with Andrea Pedeferri -- Part II. Initial Presentation of Pluralism.- Chapter 5. Philosophical Presentation of Pluralism -- Chapter 6. Using a Formal Theory of Logic Metaphorically -- Chapter 7. Rigour in Proof Co-written with Andrea Pedeferri -- Chapter 8. Mathematical Fixtures -- Part III. Transcendental Presentation of Pluralism -- Chapter 9. The Paradoxes of Tolerance and the Transcendental Paradoxes -- Chapter 10. Pluralism Towards Pluralism -- Part IV. Putting Pluralism to Work. Applications -- Chapter 11. A Pluralist Approach to Proof in Mathematics -- Chapter 12. Pluralism and Together-Inconsistent Philosophies of Mathematics -- Chapter 13. Suggestions for Further Pluralist Enquiry -- Conclusion.
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|a 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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|a Philosophy.
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|a Logic.
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|a Philosophy and science.
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|a Mathematical logic.
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|a Philosophy.
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|a Philosophy of Science.
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|a Mathematical Logic and Foundations.
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|a Logic.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9789400770577
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|a Logic, Epistemology, and the Unity of Science,
|x 2214-9775 ;
|v 32
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|u http://dx.doi.org/10.1007/978-94-007-7058-4
|z Full Text via HEAL-Link
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|a ZDB-2-SHU
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|a Humanities, Social Sciences and Law (Springer-11648)
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