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Beyond the Limits of Thought$
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Graham Priest

Print publication date: 2002

Print ISBN-13: 9780199254057

Published to Oxford Scholarship Online: October 2011

DOI: 10.1093/acprof:oso/9780199254057.001.0001

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(p.141) 10 Parameterisation
Beyond the Limits of Thought

Graham Priest

Oxford University Press

This chapter examines the relevance of mathematician Frank Ramsey's essay The Foundations of Mathematics to the contradictions in the limits of thought. Ramsey has provided the most acute early critical commentary on Bertrand Russell's ideas on paradox and he suggested that the paradoxes of self-reference are of two kinds. This chapter analyses several modern solutions to the paradoxes of Ramsey's Group B and finds that they have the same general failings as Ramsey's own solution.

Keywords:   Frank Ramsey, The Foundations of Mathematics, contradictions, limits of thought, paradox of self-reference, Bertrand Russell

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