pt. 1. Mathematics and the intellect. Mathematics and thinking mathematically / Mary Cartwright Mathematical invention / Henri Poincaré Thoughts on the heuristic method / Jacques Hadamard Mathematical proof / G.H. Hardy The unity of knowledge / Hermann Weyl pt. 2. Mathematics and human understanding. Mathematics and the arts / Marston Morse Intuition, reason and faith in science / George David Birkhoff Logic and the understanding of nature / David Hilbert The cultural basis of mathematics / Raymond Wilder pt. 3. Mathematics and society. Presidential address to the British Association / J.J. Sylvester The mathematician / John von Neumann The community of scholars / André Lichnerowicz History of mathematics: why and how / André Weil pt. 4. Miscellaneous. Does God exist? / Paul Lévy Goethe and mathematics / Wilhelm Maak Leonardo and mathematics / Francesco Severi The highest good / Norbert Wiener. |