Mathematics-Application and Applicability

The Oxford Handbook of Philosophy of Mathematics and Logic

Volumn , Issue , 2005, Pages

  Steiner, Mark ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

Application; Empirical; Mathematics

Indexed keywords

EID: 84920036623     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1093/0195148770.003.0020     Document Type: Chapter

References (20)

1. Colyvan, Mark. 2001. The indispensability of mathematics. New York: Oxford University Press.
2. Dummett, Michael. 1991. Frege: Philosophy of mathematics. Cambridge, Mass.: Harvard University Press.
3. Field, Hartry. 1980. Science without numbers: A defense of nominalism. Princeton, N.J.:Princeton University Press.
4. French, Steven. 2000. The reasonable effectiveness of mathematics: Partial structures and the application of group theory to physics. Synthèse 125: 103-120.
5. Guillemin, Victor, and Shlomo Sternberg. 1990a. Symplectic techniques in physics. Cambridge: Cambridge University Press.
6. Guillemin, Victor, and Shlomo Sternberg. 1990b. Variations on a theme by Kepler. American Mathematical Society Colloquium Publications, 42. Providence, R.I.: American Mathematical Society.
7. Lewis, David. 1991. Parts of classes. Oxford: Basil Blackwell.
8. Maddy, Penelope. 1990. Realism in mathematics. Oxford: Oxford University Press.
9. Mendelson, Elliot. 1997. Introduction to mathematical logic. 4th ed. New York: Chapman & Hall.
10. O'Meara, Dominic J. 1989. Pythagoras revived: Mathematics and philosophy in late antiquity. Appendix; The Excerpts from Iamblichus; On Pythagoreanism V-VII in Psellus. Text, Translation, and Notes. Oxford: Clarendon Press.
11. Peirce, Charles. 1999. Note on the analytical representation of space as a section of a higher dimensional space. In Writings of Charles S. Peirce: A chronological edition, ed. Nathan Houser, vol. 6. 1886-1890: 260-262. Indianapolis: Indiana University Press.
12. Shapiro, Stewart. 1983. Conservativeness and incompleteness. Journal of Philosophy 80:521-531.
13. Steiner, Mark. 1978a. Mathematical explanation. Philosophical Studies 34: 135-151.
14. Steiner, Mark. 1978b. Mathematics, explanation, and scientific knowledge. Noûs 12: 17-28.
15. Steiner, Mark. 1982. Review (in Hebrew) of Hartry Field, Science without numbers. Iyyun 31: 211-217.
16. Steiner, Mark. 1998. The applicability of mathematics as a philosophical problem. Cambridge, Mass.: Harvard University Press.
17. Sternberg, Shlomo. 1994. Group theory and physics. Cambridge: Cambridge University Press.
18. Weinberg, Steven. 1986. Lecture on the applicability of mathematics. Notices of the American Mathematical Society 33: 725-728.
19. Wigner, Eugene. 1967. The unreasonable effectiveness of mathematics in the natural sciences. In his Symmetries and Reflections: 222-237. Bloomington: Indiana University Press.
20. Wittgenstein, Ludwig. 1978. Remarks on the foundations of mathematics. 3rd ed., rev., ed. G.H. von Wright, R. Rhees, and G.E.M. Anscombe. Cambridge, Mass.: MIT Press.