A structural account of mathematics [[electronic resource] /] / Charles S. Chihara

• Autore: Chihara Charles S. <1932->
• Pubblicazione: Oxford ; ; New York, : Oxford University Press, 2004
• Descrizione fisica: 1 online resource (395 p.)
• Disciplina: 511.201
• Soggetto topico: Mathematics - Philosophy; Structuralism; Constructive mathematics
• Note generali: Description based upon print version of record.
• Nota di contenuto: Preface; Contents; Introduction; 1. Five Puzzles in Search of an Explanation; 2. Geometry and Mathematical Existence; 3. The van Inwagen Puzzle; 4. Structuralism; 5. Platonism; 6. Minimal Anti-Nominalism; 7. The Constructibility Theory; 8. Constructible Structures; 9. Applications; 10. If-Thenism; 11. Field's Account of Mathematics and Metalogic; Appendix A. Some Doubts About Hellman's Views; Appendix B. Balaguer's Fictionalism; Bibliography; Index
• Sommario/riassunto: Charles Chihara presents a structural view of the nature of mathematics, and uses it to explain a number of striking features of mathematics that have puzzled philosophers for centuries. In particular, this perspective allows Chihara to show that, in order to understand how mathematical systems are applied in science, it is not necessary to assume that its theorems either presuppose mathematical objects or are even true. He also advances several new ways of undermining the Platonic. view of mathematics. Anyone working in the field will find much to reward and stimulate them here. - ;Charles Ch
• Titolo autorizzato: A structural account of mathematics
• ISBN: 1-383-04103-2; 1-281-34613-6; 0-19-153310-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910782842403321
• Lo trovi qui: Univ. Federico II