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Friend, Michèle

Pluralism in Mathematics: A New Position in Philosophy of Mathematics

Friend, Michèle - Pluralism in Mathematics: A New Position in Philosophy of Mathematics, ebook

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ISBN: 9789400770584
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Table of contents

1. Introduction
Michèle Friend

Part I. Motivations for the Pluralist Position; Considerations from Familiar Positions

2. The Journey from Realism to Pluralism
Michèle Friend

3. Motivating Maddy’s Naturalist to Adopt Pluralism
Michèle Friend

4. From Structuralism to Pluralism
Michèle Friend

5. Formalism and Pluralism
Michèle Friend

Part II. Initial Presentation of Pluralism

6. Philosophical Presentation of Pluralism
Michèle Friend

7. Using a Formal Theory of Logic Metaphorically
Michèle Friend

8. Rigour in Proof
Michèle Friend

9. Mathematical Fixtures
Michèle Friend

Part III. Transcendental Presentation of Pluralism

10. The Paradoxes of Tolerance and Transcendental Pluralist Paradoxes
Michèle Friend

11. Pluralism Towards Pluralism
Michèle Friend

Part IV. Putting Pluralism to Work: Applications

12. A Pluralist Approach to Proof in Mathematics
Michèle Friend

13. Pluralism and Together Incompatible Philosophies of Mathematics
Michèle Friend

14. Suggestions for Further Pluralist Research
Michèle Friend

15. Conclusion
Michèle Friend

Keywords: Philosophy, Philosophy of Science, Mathematical Logic and Foundations, Logic

Author(s)
Publisher
Springer
Publication year
2014
Language
en
Edition
2014
Series
Logic, Epistemology, and the Unity of Science
Category
Philosophy
Format
Ebook
eISBN (PDF)
9789400770584

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