Curry's paradox in contractionless constructive logic

Journal of Philosophical Logic 25 (2):135 - 150 (1996)
Abstract
We propose contractionless constructive logic which is obtained from Nelson's constructive logic by deleting contractions. We discuss the consistency of a naive set theory based on the proposed logic in relation to Curry's paradox. The philosophical significance of contractionless constructive logic is also argued in comparison with Fitch's and Prawitz's systems
Keywords Curry's paradox  contractionless constructive logic  naive set theory
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DOI 10.1007/BF00247001
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Susan Rogerson (2007). Natural Deduction and Curry's Paradox. Journal of Philosophical Logic 36 (2):155 - 179.

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