Wittgenstein, necessity, and the application of mathematics

South African Journal of Philosophy

Volumn 30, Issue 2, 2011, Pages 155-167

  Hacking, Ian ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84875727768     PISSN: 02580136     EISSN: None     Source Type: Journal    
DOI: 10.4314/sajpem.v30i2.67777     Document Type: Article

References (16)

1. Azzouni, Jody. 2006. ‘How and why mathematics is unique as a social practice,’ in Reuben Hersh (ed) 18 Unconventional Essays on the Nature of Mathematics. New York: Springer Science+Business Media, 201-219.
2. Conant, James. Forthcoming 2011. ‘Wittgenstein’s methods’, in O. Kunsela and M. McGinn, The Oxford Handbook of Wittgenstein. Oxford.
3. Dummett, Michael. 1959/1978: ‘Wittgenstein’s philosophy of mathematics’, The Philosophical Review 68. Reprinted in Truth and Other Enigmas. London: Duckworth 1978 166-185.
4. Hacking, Ian. 2007. The Contingencies of ambiguity. Analysis 67: 269-277.
5. Hacking, Ian. 2010. ‘Return to an old refrain: What proof does to concepts’, in Volker Munz, Klaus Puhl and Joseph Wang (eds.), Language and the World. Part One: Essays on the Philosophy of Wittgenstein. Frankfurt: Ontos. (Publications of the Austrian Ludwig Wittgenstein Society n.s. Vol. 14.)
6. Hacking, Ian. 2011. Why is there philosophy of mathematics AT ALL? South African Journal of Philosophy 30 (4): 1-15.
7. Hilbert, David, and S. Cohn Vossen. 1956. Geometry and the Imagination. New York: Chelsea.
8. Kant, Immanuel. 1783/1953. Prolegomena to any Future Metaphysics that will be able to present itself as a Science. (Peter G. Lucas, trans.) Manchester University Press.
9. Monk, Ray. 1990. Ludwig Wittgenstein: The Duty of Genius. London: Jonathan Cape.
10. Moore, G. E. 1901. ‘Necessity’, Mindn.s. 9: 289-304.
11. Steiner, Mark. 1998. The Applicability of Mathematics as a Philosophical Problem. Harvard.
12. Steiner, Mark. 2001. ‘Wittgenstein as his own worst enemy: The case of Godel’s theorem’, Philosophia Mathematica 9: 257-279.
13. Steiner, Mark. 2009. ‘Empirical regularities in Wittgenstein’s philosophy of mathematics’, Philosophia Mathematica 17: 1-34.
14. Wigner, Eugene. 1960. ‘The Unreasonable effectiveness of mathematics in the natural sciences’, Communications in Pure and Applied Mathematics 13.
15. Wittgenstein, Ludwig. 1976. Wittgenstein’s Lectures on the Foundations of Mathematics, Cambridge 1939:from the notes of R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Cora Diamond (Ed.). Chicago.
16. Wittgenstein, Ludwig. 1978. Remarks on the Foundations of Mathematics. Third edition. G. E. M. Anscombe (ed.). Oxford: Blackwell.