Philosophy of Mathematics

Surveys historical and modern positions of mathematics. This book analyzes and evaluates traditional theories (Platonism, Aristotelianism, and Kantianism), and modern theories (logicism, formalism, constructivism, and fictionalism). It discusses research in related fields (set theory, computability theory, probability theory, and paraconsistency).

Sommario

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)

Dettagli sul prodotto

• Autori: Andrew Irvine
• Con la collaborazione di: Dov M. Gabbay (Editore), Andrew Irvine (Editore), Paul Thagard (Editore), John Woods (Editore), Dov M. Gabbay (Editore della collana), Thagard Paul (Editore della collana), John Woods (Editore della collana)
• Editore: ELSEVIER SCIENCE BV
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 11.06.2009
• EAN: 9780444515551
• ISBN: 978-0-444-51555-1
• Pagine: 733
• Serie: Handbook of the Philosophy of Science; Handbook of the Philosophy of Science
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Tematiche generali, enciclopedie; MATHEMATICS / History & Philosophy, History of mathematics