Mathematics without Numbers by Geoffrey Hellman

Mathematics without Numbers by Geoffrey Hellman

Geoffrey Hellman presents a detailed interpretation of mathematics as the investigation of structural possibilities, as opposed to absolute, Platonic objects. After dealing with the natural numbers and analysis, he extends his approach to set theory, and shows how to dispense with a fixed universe of sets. Finally, he addresses problems of application to the physical world.

Without doubt this volume is a major contribution to recent philosophy of mathematics and should be read by anyone interested in this difficult but philosophically central field* Peter Clark, Times Higher Education Supplement *
rich, subtle, and insightful * Stewart Shapiro, Nous *

Geoffrey Hellman received his BA and PhD from Harvard (1973). Having published widely in analytic philosophy and philosophy of science, he has, since the 1980s, concentrated on philosophy of quantum mechanics and philosophy and foundations of mathematics. Following the lead of his adviser, Hilary
Putnam, Hellman has developed modal-structural interpretations of mathematical theories, including number theory, analysis, and set theory. He has also worked on predicative foundations of arithmetic (with Solomon Feferman) and pluralism in mathematics (with J.L. Bell). In 2007 he was elected as a
fellow of the American Academy of Arts and Sciences.

Stewart Shapiro received an MA in mathematics in 1975, and a PhD in philosophy in 1978, both from the State University of New York at Buffalo. He is currently the O'Donnell Professor of Philosophy at The Ohio State University, and he serves as Distinguished Visiting Professor at the University of
Connecticut, and as Professorial Fellow at the University of Oslo. He has contributed to the philosophy of mathematics, philosophy of language, logic, and philosophy of logic, publishing monographs on higher-order logic, structuralism, vagueness, and pluralism in logic.

SKU	Unavailable
ISBN 13	9780198240341
ISBN 10	0198240341
Title	Mathematics without Numbers
Author	Geoffrey Hellman
Series	Clarendon Paperbacks
Condition	Unavailable
Binding Type	Paperback
Publisher	Oxford University Press
Year published	1993-11-25
Number of pages	168
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.