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- Title
Non-transitive counterparts of every Tarskian logic.
- Authors
Szmuc, Damian E
- Abstract
The aim of this article is to show that, just as in recent years Cobreros, Egré, Ripley and van Rooij have provided a non-transitive counterpart of classical logic (i.e. one in which all classically acceptable inferences are valid but Cut and other metainferences are not), the same can be done for every Tarskian logic, with full generality. To establish this fact, a semantic approach is taken by showing that appropriate structures can be devised to characterize a non-transitive counterpart of every Tarskian logic, starting from the logical matrices that are usually taken to render them.
- Subjects
LOGIC; SEMANTICS; BOOLEAN matrices; MATHEMATICAL formulas; REFLEXIVITY
- Publication
Analysis, 2024, Vol 84, Issue 2, p320
- ISSN
0003-2638
- Publication type
Article
- DOI
10.1093/analys/anad062