Abstract
In this paper we develop a novel propositional semantics based on the framework of branching time. The basic idea is to replace the moment-history pairs employed as parameters of truth in the standard Ockhamist semantics by pairs consisting of a moment and a consistent, downward closed set of so-called transitions. Whereas histories represent complete possible courses of events, sets of transitions can represent incomplete parts thereof as well. Each transition captures one of the alternative immediate future possibilities open at a branching point. The transition semantics exploits the structural resources a branching time structure has to offer and provides a fine-grained picture of the interrelation of modality and time. In addition to temporal and modal operators, a so-called stability operator becomes interpretable as a universal quantifier over the possible future extensions of a given transition set. The stability operator allows us to specify how and how far time has to unfold for the truth value of a sentence at a moment to become settled and enables a perspicuous treatment of future contingents. We show that the semantics developed along those lines generalizes and extends extant approaches: both Peirceanism and Ockhamism can be viewed as limiting cases of the transition approach that build on restricted resources only, and on both accounts, stability collapses into truth.
Keywords Branching time  Transitions  Stability  Future contingents
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s10849-015-9231-6
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 71,199
Through your library

References found in this work BETA

Past, Present and Future.Arthur N. Prior - 1967 - Oxford, England: Clarendon Press.
Time and Modality.Arthur N. Prior - 1955 - Greenwood Press.
Past, present and future.Arthur Prior - 1967 - Revue Philosophique de la France Et de l'Etranger 157:476-476.

View all 23 references / Add more references

Citations of this work BETA

First-Order Definability of Transition Structures.Antje Rumberg & Alberto Zanardo - 2019 - Journal of Logic, Language and Information 28 (3):459-488.
B-Theory and Time Biases.Sayid Bnefsi - 2019 - In Patrick Blackburn, Per Hasle & Peter Øhrstrøm (eds.), Logic and Philosophy of Time: Further Themes from Prior. Aalborg, Denmark: Aalborg University Press. pp. 41-52.
Temporal Logic.Antony Galton - 2008 - Stanford Encyclopedia of Philosophy.

View all 11 citations / Add more citations

Similar books and articles

Undivided and Indistinguishable Histories in Branching-Time Logics.Alberto Zanardo - 1998 - Journal of Logic, Language and Information 7 (3):297-315.
An Extended Branching-Time Ockhamist Temporal Logic.Mark Brown & Valentin Goranko - 1999 - Journal of Logic, Language and Information 8 (2):143-166.
A Future for the Thin Red Line.Alex Malpass & Jacek Wawer - 2012 - Synthese 188 (1):117-142.
Temporal Necessity and the Conditional.Charles B. Cross - 1990 - Studia Logica 49 (3):345-363.
Circumstantial and Temporal Dependence in Counterfactual Modals.Dorit Abusch - 2012 - Natural Language Semantics 20 (3):273-297.
Linear, Branching Time and Joint Closure Semantics for Temporal Logic.Joeri Engelfriet & Jan Treur - 2002 - Journal of Logic, Language and Information 11 (4):389-425.

Analytics

Added to PP index
2015-11-06

Total views
64 ( #180,296 of 2,517,928 )

Recent downloads (6 months)
5 ( #137,869 of 2,517,928 )

How can I increase my downloads?

Downloads

My notes