Objects, Structures, and Logics FilMat Studies in the Philosophy of Mathematics
This edited collection casts light on central issues within contemporary philosophy of mathematics such as the realism/anti-realism dispute; the relationship between logic and metaphysics; and the question of whether mathematics is a science of objects or structures. The discussions offered in the p...
| Other Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2022, 2022
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| Edition: | 1st ed. 2022 |
| Series: | Boston Studies in the Philosophy and History of Science
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1. Introduction
- Part 1. Mathematical Objects
- 2. Aristotle's Problem (Zanetti, L)
- 3.Hofweber's Nominalist Naturalism (Snyder, E., Samuels, R., Shapiro, S)
- 4. Exploring Mathematical Objects from Custom-Tailored Mathematical Universes (Blechschmidt, I.)
- 5. Rescuing Implicit Definition from Abstractionism (Waxman, D.)
- Part 2. Structures and Structuralisms
- 6. Structural Relativity and Informal Rigour (Barton, N.)
- 7. Ontological Dependence and Grounding for a Weak Mathematical Structuralism (Bianchi, S.)
- 8. The Structuralist Mathematical Style: Bourbaki as a Case Study (Marquis, J.-P.)
- 9. Grothendieck Toposes as Unifying Bridges: a Mathematical Morphogenesis (Caramello, O.)
- Part 3. Logics and Proofs
- 10. Game of Grounds (Catta, D., Piccolomini D'Aragona, A.)
- 11. Predicativity and Constructive Mathematics (Crosilla, L.)
- 12. Truth and the Philosophy of Mathematics (Cantini, A.)
- 13. On Lakatos's Decomposition of the Notion of Proof (Moriconi, E.)
- 14. A CategoricalReading of the Numerical Existence Property in Constructive Foundations (Maschio, S.)