Natural deduction and Curry's paradox

Journal of Philosophical Logic 36 (2):155 - 179 (2007)
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
Keywords Curry's paradox  normalization  natural deduction
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DOI 10.2307/30226962
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