Abstract

AUTHORS AND TITLESReuben Hersh, Introduction, pp. vii–xv.Alfréd Rényi, A Socratic dialogue on mathematics, pp. 1–16. Reprinted from Alfréd Rényi, Dialogues on Mathematics. San Francisco: Holden-Day (1967).Carlo Cellucci, ‘Introduction’ to Filosofia e matematica, pp. 17–36. Translation of a revised version of ‘Introduction’, in Carlo Cellucci, Filosofia e matematica. Bari: Laterza (2002).William P. Thurston, On proof and progress in mathematics, pp. 37–55. Reprinted from Bulletin of the American Mathematical Society (2) 30 (1994), 161–171.Andrew Aberdein, The informal logic of mathematical proof, pp. 56–70. To appear in Jean Paul Van Bendegem and Bart Van Kerkhove, eds, Perspectives on Mathematical Practices. Heidelberg: Springer.Yehuda Rav, Philosophical problems of mathematics in the light of evolutionary epistemology, pp. 71–96. Reprinted from Sal Restivo, Jean Paul Van Bendegem, and Roland Fischer, eds, Math Worlds: Philosophical and Social Studies of Mathematics and Mathematics Education. Albany: State University of New York Press (1993).Brian Rotman, Toward a semiotics of mathematics, pp. 97–127. Reprinted from Semiotica72 (1988).