| Online-Ressource |
Titel: | Objects, Structures, and Logics |
Titelzusatz: | FilMat Studies in the Philosophy of Mathematics |
Mitwirkende: | Oliveri, Gianluigi [HerausgeberIn] |
| Ternullo, Claudio [HerausgeberIn] |
| Boscolo, Stefano [HerausgeberIn] |
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 |
|
|
| |
Lokale URL UB: | Zum Volltext |
Objects, Structures, and Logics / Oliveri, Gianluigi [HerausgeberIn]; 2022. (Online-Ressource)