Associative substitutional semantics and quantified modal logic

Studia Logica 94 (1):105 - 138 (2010)
Abstract
The paper presents an alternative substitutional semantics for first-order modal logic which, in contrast to traditional substitutional (or truth-value) semantics, allows for a fine-grained explanation of the semantical behavior of the terms from which atomic formulae are composed. In contrast to denotational semantics, which is inherently reference-guided, this semantics supports a non-referential conception of modal truth and does not give rise to the problems which pertain to the philosophical interpretation of objectual domains (concerning, e.g., possibilia or trans-world identity). The paper also proposes the notion of modality de nomine as an alternative to the denotational notion of modality de re.
Keywords first-order logic  modal logic  philosophy of quantified modal logic  predication  substitutional quantification  truth-value semantics
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References found in this work BETA
J. Michael Dunn (1973). A Truth Value Semantics for Modal Logic. In Hugues Leblanc (ed.), Truth, Syntax and Modality. Amsterdam,North-Holland. 87--100.
Thomas Jager (1982). An Actualistic Semantics for Quantified Modal Logic. Notre Dame Journal of Formal Logic 23 (3):335-349.
Saul A. Kripke (1976). Is There a Problem About Substitutional Quantification? In Gareth Evans & John McDowell (eds.), Truth and Meaning. Oxford University Press. 324-419.

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