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Titel:Objects, Structures, and Logics
Titelzusatz:FilMat Studies in the Philosophy of Mathematics
Mitwirkende:Oliveri, Gianluigi [HerausgeberIn]   i
 Ternullo, Claudio [HerausgeberIn]   i
 Boscolo, Stefano [HerausgeberIn]   i
Verf.angabe:edited by Gianluigi Oliveri, Claudio Ternullo, Stefano Boscolo
Ausgabe:1st ed. 2022.
Verlagsort:Cham
 Cham
Verlag:Springer International Publishing
 Imprint: Springer
E-Jahr:2022
Jahr:2022.
 2022.
Umfang:1 Online-Ressource(X, 363 p. 1 illus.)
Gesamttitel/Reihe:Boston Studies in the Philosophy and History of Science ; 339
 Springer eBook Collection
ISBN:978-3-030-84706-7
Abstract: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.).
 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.
DOI:doi:10.1007/978-3-030-84706-7
URL:Resolving-System: https://doi.org/10.1007/978-3-030-84706-7
 DOI: https://doi.org/10.1007/978-3-030-84706-7
Datenträger:Online-Ressource
Sprache:eng
Bibliogr. Hinweis:Erscheint auch als : Druck-Ausgabe
 Erscheint auch als : Druck-Ausgabe
 Erscheint auch als : Druck-Ausgabe
K10plus-PPN:1795599227
 
 
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