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  1. Actualism, Serious Actualism, and Quantified Modal Logic.William H. Hanson - 2018 - Notre Dame Journal of Formal Logic 59 (2):233-284.
    This article studies seriously actualistic quantified modal logics. A key component of the language is an abstraction operator by means of which predicates can be created out of complex formulas. This facilitates proof of a uniform substitution theorem: if a sentence is logically true, then any sentence that results from substituting a predicate abstract for each occurrence of a simple predicate abstract is also logically true. This solves a problem identified by Kripke early in the modern semantic study of quantified (...)
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  • Analyticity, Necessity and Belief : Aspects of two-dimensional semantics.Johannesson Eric - 2017 - Dissertation, Stockholm University
    A glass couldn't contain water unless it contained H2O-molecules. Likewise, a man couldn't be a bachelor unless he was unmarried. Now, the latter is what we would call a conceptual or analytical truth. It's also what we would call a priori. But it's hardly a conceptual or analytical truth that if a glass contains water, then it contains H2O-molecules. Neither is it a priori. The fact that water is composed of H2O-molecules was an empirical discovery made in the eighteenth century. (...)
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  • Serious actualism.Yannis Stephanou - 2007 - Philosophical Review 116 (2):219-250.
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  • First-Order Modal Logic with an 'Actually' Operator.Yannis Stephanou - 2005 - Notre Dame Journal of Formal Logic 46 (4):381-405.
    In this paper the language of first-order modal logic is enriched with an operator @ ('actually') such that, in any model, the evaluation of a formula @A at a possible world depends on the evaluation of A at the actual world. The models have world-variable domains. All the logics that are discussed extend the classical predicate calculus, with or without identity, and conform to the philosophical principle known as serious actualism. The basic logic relies on the system K, whereas others (...)
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  • Modal Logic.James W. Garson - 2009 - Stanford Encyclopedia of Philosophy.
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