Modal Logic for Other-World Agnostics: Neutrality and Halldén Incompleteness

Journal of Philosophical Logic 36 (1):1-32 (2006)
Authors
Lloyd Humberstone
Monash University
Abstract
The logic of 'elsewhere,' i.e., of a sentence operator interpretable as attaching to a formula to yield a formula true at a point in a Kripke model just in case the first formula is true at all other points in the model, has been applied in settings in which the points in question represent spatial positions, as well as in the case in which they represent moments of time. This logic is applied here to the alethic modal case, in which the points are thought of as possible worlds, with the suggestion that its deployment clarifies aspects of a position explored by John Divers under the name 'modal agnosticism.' In particular, it makes available a logic whose Halldén incompleteness explicitly registers the agnostic element of the position - its neutrality as between modal realism and modal anti-realism.
Keywords Philosophy
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Reprint years 2007
DOI 10.1007/s10992-005-9020-9
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References found in this work BETA

Past, Present and Future.Arthur Prior - 1967 - Clarendon Press.
Possible Worlds.John Divers - 2002 - Routledge.

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Citations of this work BETA

Temporal Reference in Linear Tense Logic.M. J. Cresswell - 2010 - Journal of Philosophical Logic 39 (2):173-200.
Variation on a Trivialist Argument of Paul Kabay.Lloyd Humberstone - 2011 - Journal of Logic, Language and Information 20 (1):115-132.

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