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.
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Keywords | Curry's paradox normalization natural deduction |
Categories | (categorize this paper) |
DOI | 10.1007/s10992-006-9032-0 |
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References found in this work BETA
Natural Deduction: A Proof-Theoretical Study.Dag Prawitz - 1965 - Stockholm, Sweden: Dover Publications.
Curry’s Paradox.Robert K. Meyer, Richard Routley & J. Michael Dunn - 1979 - Analysis 39 (3):124 - 128.
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Citations of this work BETA
What is a Relevant Connective?Shawn Standefer - 2022 - Journal of Philosophical Logic 51 (4):919-950.
Ekman’s Paradox.Peter Schroeder-Heister & Luca Tranchini - 2017 - Notre Dame Journal of Formal Logic 58 (4):567-581.
How to Ekman a Crabbé-Tennant.Peter Schroeder-Heister & Luca Tranchini - 2018 - Synthese 199 (Suppl 3):617-639.
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