Natural deduction and Curry's paradox

Journal of Philosophical Logic 36 (2):155 - 179 (2007)
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Abstract

Curry's paradox, sometimes described as a general version of the better known Russell's paradox, has intrigued logicians for some time. This paper examines the paradox in a natural deduction setting and critically examines some proposed restrictions to the logic by Fitch and Prawitz. We then offer a tentative counterexample to a conjecture by Tennant proposing a criterion for what is to count as a genuine paradox.

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Citations of this work

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References found in this work

Natural deduction: a proof-theoretical study.Dag Prawitz - 1965 - Mineola, N.Y.: Dover Publications.
Beginning Logic.Sarah Stebbins - 1965 - London, England: Hackett Publishing.
Symbolic logic.Frederic Brenton Fitch - 1952 - New York,: Ronald Press Co..
How to be R eally Contraction-Free.Greg Restall - 1993 - Studia Logica 52 (3):381 - 391.

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