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).

Autorentext
Dov M. Gabbay is Augustus De Morgan Professor Emeritus of Logic at the Group of Logic, Language and Computation, Department of Computer Science, King's College London. He has authored over four hundred and fifty research papers and over thirty research monographs. He is editor of several international Journals, and many reference works and Handbooks of Logic.

Inhalt

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)