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Philosophy of mathematics : structure and ontology /

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This text argues that both realist and anti-realist accounts of mathematics are problematic. It articulates a structuralist approach, arguing that the subject matter of a mathematical theory is not a fixed domain of numbers.

Bibliographic Details
Main Author: Shapiro, Stewart, 1951-
Format: eBook
Language:English
Language Notes:English.
Published: New York : Oxford University Press, 1997.
Subjects:
Mathematics > Philosophy.
Mathématiques > Philosophie.
MATHEMATICS > History & Philosophy.
Mathematics > Philosophy
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 1. Mathematics and Its Philosophy
  • 2. Object and Truth: A Realist Manifesto
  • 3. Structure
  • 4. Epistemology and Reference
  • 5. How We Got Here
  • 6. Practice: Construction, Modality, Logic
  • 7. Modality, Structure, Ontology
  • 8. Life Outside Mathematics: Structure and Reality.