Director of Media Relations
AMHERST, Mass.—Alexander George, professor of philosophy, and Daniel Velleman, professor of mathematics at Amherst College, are the authors of Philosophies of Mathematics ($64.95 hardcover, $29.95 paperback, Blackwell Publishers, 2002).
George and Velleman write in the preface to Philosophies of Mathematics that in teaching college students about the topic, they “found few if any contemporary works that introduce and carefully develop the philosophies, the mathematical projects, and their complex interconnections.” Their use of the plural is deliberate; the three main streams of mathematical philosophy, logicism, intuitionism and finitism are all considered here. Some historical background is offered, but the emphasis is on the living philosophy.
A member of the faculty at Amherst since1988, George received a B.A. degree from Columbia University, and M.A. and Ph.D. degrees from Harvard University. He is editor of Reflections on Chomsky (1989) Western State Terrorism (1991) and Mathematics and Mind (1994). Velleman came to Amherst in 1983, having earned a B.A. at Dartmouth College, and M.A. and Ph.D. degrees at the University of Wisconsin-Madison. He is author of How to Prove It: A Structured Approach (1994) and co-author of Which Way Did the Bicycle Go? And Other Intriguing Mathematical Mysteries (with Joseph Konhauser and Stan Wagon, 1996).) More information about Philosophies of Mathematics can be found at the Blackwell Website.