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Local collection and end-extensions of models of compositional truth
dc.abstract.en | We introduce a principle of local collection for compositional truth predicates and show that it is arithmetically conservative over the classically compositional the-ory of truth. This axiom states that upon restriction to formulae of any syntactic complexity, the resulting predicate satisfies full collection. In particular, arguments using collection for the truth predicate applied to sentences occurring in any given (code of a) proof do not suffice to show that the conclusion of that proof is true, in stark contrast to the case of the induction scheme.We analyse various further results concerning end-extensions of models of composi-tional truth and the collection scheme for the compositional truth predicate. |
dc.affiliation | Uniwersytet Warszawski |
dc.contributor.author | Wcisło, Bartosz |
dc.contributor.author | Łełyk, Mateusz |
dc.date.accessioned | 2024-01-25T05:13:18Z |
dc.date.available | 2024-01-25T05:13:18Z |
dc.date.copyright | 2021-01-13 |
dc.date.issued | 2021 |
dc.description.accesstime | AT_PUBLICATION |
dc.description.finance | Publikacja bezkosztowa |
dc.description.number | 6 |
dc.description.version | FINAL_PUBLISHED |
dc.description.volume | 172 |
dc.identifier.doi | 10.1016/J.APAL.2020.102941 |
dc.identifier.issn | 0168-0072 |
dc.identifier.uri | https://repozytorium.uw.edu.pl//handle/item/111402 |
dc.identifier.weblink | https://www.sciencedirect.com/science/article/pii/S0168007220301652?via%3Dihub |
dc.language | eng |
dc.pbn.affiliation | philosophy |
dc.relation.ispartof | Annals of Pure and Applied Logic |
dc.relation.pages | 102941 |
dc.rights | Other |
dc.sciencecloud | nosend |
dc.subject.en | Models of arithmetic |
dc.subject.en | Truth theory |
dc.subject.en | Compositional truth |
dc.subject.en | Satisfaction classes |
dc.subject.en | Collection scheme |
dc.subject.en | Conservativeness |
dc.title | Local collection and end-extensions of models of compositional truth |
dc.type | JournalArticle |
dspace.entity.type | Publication |