Chargement en cours…

Philosophy of mathematics /

One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in...

Description complète

Détails bibliographiques
Cote:Libro Electrónico
Autres auteurs: Irvine, Andrew D. (Éditeur intellectuel)
Format: Électronique eBook
Langue:Inglés
Publié: Amsterdam ; Heidelberg : Elsevier, 2007.
Collection:Handbook of the philosophy of science ; 4.
Sujets:
Accès en ligne:Texto completo
Table des matières:
  • 1. The Foundations of Mathematics (W.D. Hart)
  • 2. Realism (Mark Balaguer)
  • 3. Aristotelian Realism (James Franklin)
  • 4. Empiricism (David Bostock)
  • 5. Kantianism (Mary Tiles)
  • 6. Logism (Jaakko Hintikka)
  • 7. Formalism (Peter Simons)
  • 8. Constructivism (David McCarty)
  • 9. Fictionalism (Daniel Bonevac)
  • 10. Structuralism (Fraser MacBride)
  • 11. Set Theory from Cantor to Cohen (Akihiro Kanamori)
  • 12. Alternative Set Theories (Peter Apostoli, Roland Hinnion, Akira Kanda & Thierry Libert)
  • 13. Philosophies of Probability (Jon Williamson)
  • 14. Computability (Wilfried Sieg)
  • 15. Inconsistent Mathematics (Chris Mortensen)
  • 16. Mathematics and the World (Mark Colyvan).