Mathematics without Numbers; Towards a Modal-Structural Interpretation. Geoffrey Hellman.

Mathematics without Numbers; Towards a Modal-Structural Interpretation

Oxford: Clarendon Press, 1989. First edition. Hardcover. 8vo. [7], viii-ix, [4], 2-154, [2] pp. Navy cloth with gold lettering on the spine. C. Wade Savage's copy, with his name on the front flyleaf. Professor Savage taught at the University of Minnesota in their philosophy department, and conducted research in the philosophy of mind and in philosophy of science. Hellman here develops an alternate view to Platonist approaches to philosophy of mathematics. Using second-order logic and the concepts of possibility and necessity, Hellman outlines a modal structuralist view inspired by Dedekind and Putnam, allowing core mathematical theories to stand alone, independent of set theory. In the final part of the book the author proposes a minimalist form of natural realism, driven by the idea that no single mathematical framework is adequate (in principle) for science. Very near Fine / Fine. Item #00008988

Price: $150.00

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