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Putnam on foundations

models, modals, muddles

John P. Burgess

pp. 129-143

Abstract

Putnam has famously offered a sketch of a mathematics without foundations, existing in two equivalent descriptions, set-theoretic and modal-logical. Here his proposal is critically examined, with attention to difficulties surrounding both the modal-logical description itself and especially the notion of equivalence of descriptions.

Publication details

Published in:

Hellman Geoffrey, Cook Roy T. (2018) Hilary Putnam on logic and mathematics. Dordrecht, Springer.

Pages: 129-143

DOI: 10.1007/978-3-319-96274-0_9

Full citation:

Burgess John P. (2018) „Putnam on foundations: models, modals, muddles“, In: G. Hellman & R. T. Cook (eds.), Hilary Putnam on logic and mathematics, Dordrecht, Springer, 129–143.