Indexed actuality

Journal of Philosophical Logic 30 (4):355-393 (2001)
The word 'actually' often refers to what is in fact the case, but it also often points to what would have been the case in a possible situation that is being envisaged. To capture such nuances, the formal languages discussed in the paper add subscripts to modal operators; in the model theory the subscripts allow an actuality operator to turn the evaluation of a formula to a world introduced by a preceding possibility or necessity operator having the same subscript. The paper covers both propositional and predicate logic and proves the completeness of axiomatizations that extend standard modal systems beginning with K
Keywords Philosophy
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Reprint years 2004
DOI 10.1023/A:1017915417449
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References found in this work BETA
Entities and Indicies.M. J. Cresswell - 1991 - Kluwer Academic Publishers.
Necessity and Truth Theories.Christopher Peacocke - 1978 - Journal of Philosophical Logic 7 (1):473 - 500.
Axioms for Actuality.Harold T. Hodes - 1984 - Journal of Philosophical Logic 13 (1):27 - 34.

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Citations of this work BETA
The Meaning of 'Actually'.Yannis Stephanou - 2010 - Dialectica 64 (2):153-185.
S5 for Aristotelian Actualists.Benjamin Mitchell-Yellin & Michael Nelson - 2016 - Philosophical Studies 173 (6):1537-1569.

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