Philosophy of Mathematics (i) — General Issues

Philosophy of Mathematics (i) — general issues

2008. Contribution to Philosophy of Mathematics: 5 Questions, eds. Vincent Hendriks and Hannes Leitgeb, Automatic Press/VIP, 301-11. [.pdf]

2006 (with Stewart Shapiro). “All Things Indefinitely Extensible”, in A. Rayo and G. Uzquiano (eds.) Absolute Generality (Oxford University Press), 255-304. [.pdf]

1995. “Intuitionists are not (Turing) Machines” in Philosophia Mathematica, (3) volume 3, 86-102. [.pdf]

1994. “About “The Philosophical Significance of Gödel’s Theorem”: Some Issues”, in B. F. McGuinness and G. Oliveri, eds., The Philosophy of Michael Dummett , Synthese Library vol. 239, Kluwer, 167-202. [.pdf]

1994 (with Bob Hale). “A Reductio ad Surdum? Field on the Contingency of Mathematical Objects”, Mind CIII, 169-84. [.pdf]

1992 (with Bob Hale). “Nominalism and the Contingency of Abstract Objects”, Journal of Philosophy, LXXXIX, 111-135. [.pdf]

1991. “Wittgenstein on Mathematical Proof”, in Wittgenstein Centenary Essays, ed. A Phillips Griffiths, Royal Institute of Philosophy Supplement 28, Cambridge University Press, 79-99. [.pdf]

1988. “Why Numbers Can Believably Be: A Reply to Hartry Field” in Revue Internationale de Philosophie, 42, (special number on Philosophy of Mathematics, ed. Philip Kitcher), 425-473. [.pdf]

1985. “Skolem and the Sceptic”, symposium with Paul Benacerraf, Proceedings of the Aristotelian Society, supplementary volume LIX, 117-37. [.pdf]

1982. “Strict Finitism” Synthese, 51, 203-82. [.pdf]