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The philosophy of mathematical practice /

This title offers philosophical analyses of important characteristics of contemporary mathematics and of many aspects of mathematical activity which escape purely formal logical treatment.

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Mancosu, Paolo
Format: Électronique eBook
Langue:Inglés
Publié: Oxford ; New York : Oxford University Press, 2008.
Sujets:
Accès en ligne:Texto completo
Table des matières:
  • Visualizing in mathematics
  • Cognition of structure
  • Diagram-based geometric practice
  • The Euclidean Diagram (1995)
  • Mathematical explanation : why it matters
  • Beyond unification
  • Purity as an ideal of proof
  • Reflection on the purity of method in Hilbert's Grundlagen der Geometrie
  • Mathematical concepts and definitions
  • Mathematical concepts : fruitfulness and naturalness
  • Computers in mathematical inquiry
  • Understanding proofs
  • What structuralism achieves
  • 'There is no ontology here' : visual and structural geometry in arithmetic
  • The boundary between mathematics and physics
  • mathematics and physics : strategies of assimilation.