What if, and when? Conditionals, tense, and branching time

Linguistics and Philosophy 46 (3):533-565 (2023)
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Abstract

Indicative conditionals with present tense antecedents can have ‘shifted’ readings that are unexpected given the semantic behavior of the tenses outside of conditionals. In this paper, we compare two accounts of this phenomenon due to Kaufmann (J Semant 22(3):231–280, 2005) and Schulz (SALT XVIII, pp. 694–710, 2008), by reconstructing them in the framework of branching time. We then propose a novel account of indicative conditionals based on the branching time semantics suggested in Rumberg (J Logic Lang Inf 25(1):77–108, 2016), viz. transition semantics. We show that not only is the account of ‘shifted’ readings with present tense antecedents within this semantics very natural, but it also is empirically superior to its rivals in some respects.

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Past, present and future.Arthur N. Prior - 1967 - Oxford,: Clarendon P..
Word Meaning and Montague Grammar.David R. Dowty - 1982 - Philosophical Review 91 (2):290-295.
The notional category of modality.Angelika Kratzer - 1981 - In Hans-Jürgen Eikmeyer & Hannes Rieser (eds.), Words, worlds, and contexts: new approaches in word semantics. New York: W. de Gruyter. pp. 38–74.
Transition Semantics for Branching Time.Antje Rumberg - 2016 - Journal of Logic, Language and Information 25 (1):77-108.
The unreal future.John P. Burgess - 1978 - Theoria 44 (3):157-179.

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