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Synthese (Dordrecht), 2023-12, Vol.202 (6), p.206, Article 206
2023

Details

Autor(en) / Beteiligte
Titel
Logics of truthmaker semantics: comparison, compactness and decidability
Ist Teil von
  • Synthese (Dordrecht), 2023-12, Vol.202 (6), p.206, Article 206
Ort / Verlag
Dordrecht: Springer Netherlands
Erscheinungsjahr
2023
Link zum Volltext
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
  • In recent years, there has been a growing interest in truthmaker semantics as a framework for understanding a range of phenomena in philosophy and linguistics. Despite this interest, there has been limited study of the various logics that arise from the semantics. This paper aims to address this gap by exploring numerous ‘truthmaker logics’ and proving their compactness and decidability. This is in continuation with the inquiry of Fine and Jago ( 2019 ), who proved compactness and decidability for a particular kind of truthmaker logic. The key results going into this are (1) ‘standard translations’ into first-order logic; (2) a truthmaker analogue of the finite model property; and (3) a proof showing that truthmaker consequence on semilattices coincides with truthmaker consequence on complete lattices. Finally, the connection with modal logic is examined. Specifically, it is illustrated how endowing truthmaker semantics with classical negation results in modal information logics.
Sprache
Englisch
Identifikatoren
ISSN: 1573-0964, 0039-7857
eISSN: 1573-0964
DOI: 10.1007/s11229-023-04401-1
Titel-ID: cdi_crossref_primary_10_1007_s11229_023_04401_1

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