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Pluralism in Mathematics: A New Position in Philosophy of Mathematics

Publisher: 
Springer
Number of Pages: 
291
Price: 
129.00
ISBN: 
9789400770577
Date Received: 
Monday, December 30, 2013
Reviewable: 
Yes
Include In BLL Rating: 
No
Michèle Friend
Series: 
Logic, Epistemology, and the Unity of Science 32
Publication Date: 
2013
Format: 
Hardcover
Category: 
Monograph

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.​

Publish Book: 
Modify Date: 
Monday, December 30, 2013

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