FLAP Journal 2025 Journal Article
The Constructive Logic of Paradox: Paraconsistency on the Woodruff Plan
- Rohan French
In this paper we investigate the constructive companion of the logic of para- dox. After presenting the logic semantically, and examining how it relates to both intuitionistic logic and the logic of paradox, we prove completeness for two semantically conservative extensions of the constructive logic of paradox— a non-paraconsistent one with a ‘true-only’ predicate, and a non-constructive one with a De Morgan negation. 2020 Mathematics Subject Classification. Primary: 03B45, Secondary: 03B80.