Objects, structures, and logics : FilMat studies in the philosophy of mathematics
著者
書誌事項
Objects, structures, and logics : FilMat studies in the philosophy of mathematics
（Boston studies in the philosophy of science, v. 339）
Springer, c2022
大学図書館所蔵 全8件
注記
Includes bibliographical references
内容説明・目次
内容説明
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 papers involve an in-depth investigation of, among other things, the notions of mathematical truth, proof, and grounding; and, often, a special emphasis is placed on considerations relating to mathematical practice.
A distinguishing feature of the book is the multicultural nature of the community that has produced it. Philosophers, logicians, and mathematicians have all contributed high-quality articles which will prove valuable to researchers and students alike.
目次
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 Categorical Reading of the Numerical Existence Property in Constructive Foundations (Maschio, S.).
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