Abstract
David Ripley has argued extensively for a nontransitive theory of truth by dropping the rule of Cut in a sequent calculus setting in order to get around triviality caused by paradoxes such as the Liar. However, comparing his theory with a wide range of classical approaches in the literature is problematic because formulating it over an arithmetical background theory such as Peano Arithmetic is non-trivial as Cut is not eliminable in Peano Arithmetic. Here we make a step towards closing this gap by providing a suitable restriction of the Cut rule, which allows for a nontransitive theory of truth over Peano Arithmetic that is proof-theoretically as strong as the strongest known classical theory of truth.
| Dokumententyp: | Zeitschriftenartikel |
|---|---|
| Fakultät: | Philosophie, Wissenschaftstheorie und Religionswissenschaft |
| Themengebiete: | 100 Philosophie und Psychologie > 100 Philosophie |
| ISSN: | 0326-1301 |
| Sprache: | Englisch |
| Dokumenten ID: | 97753 |
| Datum der Veröffentlichung auf Open Access LMU: | 05. Jun. 2023 15:26 |
| Letzte Änderungen: | 05. Jun. 2023 15:26 |
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