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Natural Deduction and Curry's Paradox

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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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Correspondence to Susan Rogerson.

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Rogerson, S. Natural Deduction and Curry's Paradox. J Philos Logic 36, 155–179 (2007). https://doi.org/10.1007/s10992-006-9032-0

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  • DOI: https://doi.org/10.1007/s10992-006-9032-0

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