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Mathematics as a science of patterns /

Resnik expresses his commitment to a structuralist philosophy of mathematics and links this to a defence of realism about the metaphysics of mathematics - the view that mathematics is about things that really exist.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Resnik, Michael D.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford : Oxford ; New York : Clarendon Press ; Oxford University Press, ©1997.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction
  • 2. What is Mathematical Realism?
  • 3. The Case for Mathematical Realism
  • 4. Recent Attempts at Blunting the Indispensability Thesis
  • 5. Doubts about Realism
  • 6. The Elusive Distinction between Mathematics and Natural Science
  • 7. Holism: Evidence in Science and Mathematics
  • 8. The Local Conception of Mathematical Evidence: Proof, Computation, and Logic
  • 9. Positing Mathematical Objects
  • 10. Mathematical Objects as Positions in Patterns
  • 11. Patterns and Mathematical Knowledge
  • 12. What is Structuralism? And Other Questions.