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A Structural Account of Mathematics.

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Chihara, Charles S.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford : Oxford University Press, UK, 2007.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 2 |a A Structural Account of Mathematics. 
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520 |a 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. 
588 0 |a Print version record. 
505 0 |a 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. 
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650 0 |a Mathematics  |x Philosophy. 
650 0 |a Structuralism. 
650 0 |a Constructive mathematics. 
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650 6 |a Structuralisme. 
650 6 |a Mathématiques constructives. 
650 7 |a structuralism.  |2 aat 
650 7 |a structures (structural elements)  |2 aat 
650 7 |a structures (single built works)  |2 aat 
650 7 |a Constructive mathematics  |2 fast 
650 7 |a Mathematics  |x Philosophy  |2 fast 
650 7 |a Structuralism  |2 fast 
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