MoL-2025-08: Scha, Fatima (2025) The paradoxicality of Curry. [Report]
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Abstract
Curry’s paradox is a peculiar paradox for at least two reasons: it is largely left out by common definitions of paradoxicality and it challenges paraconsistent solutions to the paradoxes because it can persist in a paraconsistent system. In this thesis, we study the dynamics of this paradox by adapting Kripke’s definition of paradoxicality (Kripke, 1975) and a definition of paradoxicality introduced by Hsiung (2024) such that they include more of Curry’s paradox. We moreover explore the possibility of a notion of paradoxicality that can distinguish Curry’s paradox from other paradoxes like the Liar, by embedding the definition in a paraconsistent logic. The result is an overview of different formal characterisations of paradoxicality, that capture Curry’s paradox and its relatives to various degrees.
| Item Type: | Report |
|---|---|
| Report Nr: | MoL-2025-08 |
| Series Name: | Master of Logic Thesis (MoL) Series |
| Year: | 2025 |
| Subjects: | Logic Mathematics |
| Depositing User: | Dr Marco Vervoort |
| Date Deposited: | 07 Aug 2025 14:23 |
| Last Modified: | 07 Aug 2025 14:24 |
| URI: | https://eprints.illc.uva.nl/id/eprint/2375 |
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