Friend, Michèle
Pluralism in Mathematics: A New Position in Philosophy of Mathematics
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)
- Friend, Michèle
- Publisher
- Springer
- Publication year
- 2014
- Language
- en
- Edition
- 2014
- Series
- Logic, Epistemology, and the Unity of Science
- Page amount
- 17 pages
- Category
- Philosophy
- Format
- Ebook
- eISBN (PDF)
- 9789400770584