Indexical Hybrid Tense Logic

Patrick Rowan Blackburn, Klaus Frovin Jørgensen

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Abstract

In this paper we explore the logic of now, yesterday, today and tomorrow by combining the semantic approach to indexicality pioneered by Hans Kamp [9] and refined by David Kaplan [10] with hybrid tense logic. We first introduce a special now nominal (our @now corresponds to Kamp’s original now operator N) and prove completeness results for both logical and contextual validity. We then add propositional constants to handle yesterday, today and tomorrow; our system correctly treats sentences like “Niels will die yesterday” as contextually unsatisfiable. Building on our completeness results for now, we prove completeness for the richer language, again for both logical and contextual validity.
Original languageDanish
Title of host publicationAdvances in Modal Logic
Number of pages16
Place of PublicationLondon
Publication date2012
Pages144-160
ISBN (Print)978-1-84890-068-4
Publication statusPublished - 2012

Cite this

Blackburn, P. R., & Jørgensen, K. F. (2012). Indexical Hybrid Tense Logic. In Advances in Modal Logic (pp. 144-160). http://www.aiml.net/volumes/volume9/Blackburn-Jorgensen.pdf