Objects, structures, and logics FilMat studies in the philosophy of mathematics / [electronic resource] :

• 其他作者：
  • Oliveri, Gianluigi.
  • Ternullo, Claudio.
  • Boscolo, Stefano.
  • SpringerLink (Online service)
• 其他題名：
  • Boston studies in the philosophy and history of science ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Boston studies in the philosophy and history of science,v. 339
• 主題： Mathematics--Philosophy. , Philosophy of Science. , Mathematical Logic and Foundations. , Humanities and Social Sciences. , Life Sciences. , Physical Sciences. , Mathematics and Computing.
• ISBN： 9783030847067 (electronic bk.) 、 9783030847050 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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. Structelativity 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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• 摘要註: 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.
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