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).

List of contents

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)

Product details

• Authors: Andrew Irvine
• Assisted by: Dov M. Gabbay (Editor), Andrew Irvine (Editor), Paul Thagard (Editor), John Woods (Editor), Dov M. Gabbay (Editor of the series), Thagard Paul (Editor of the series), John Woods (Editor of the series)
• Publisher: ELSEVIER SCIENCE BV
• Languages: English
• Product format: Hardback
• Released: 11.06.2009
• EAN: 9780444515551
• ISBN: 978-0-444-51555-1
• No. of pages: 733
• Series: Handbook of the Philosophy of Science; Handbook of the Philosophy of Science
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries; MATHEMATICS / History & Philosophy, History of mathematics