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Modal Logic, Truth, and the Master Modality
Journal of Philosophical Logic, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fundamenta Informaticae, 2017
In 1951 in his book An Essay in Modal Logic, Georg Henrik von Wright strongly called attention to the analogies between quantifiers and modal operators. In 1984 I published a paper in Synthese examining the analogy formally. Confession: the presentation in that paper was badly done, and there is a significant (though correctable) error.
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In 1951 in his book An Essay in Modal Logic, Georg Henrik von Wright strongly called attention to the analogies between quantifiers and modal operators. In 1984 I published a paper in Synthese examining the analogy formally. Confession: the presentation in that paper was badly done, and there is a significant (though correctable) error.
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International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1996
We add a binary operator ≥ to the logical language, with intended meaning of φ<ψ: ‘φ is at least as likely, probable, or trustworthy, as ψ’. The operator ≥ is interpreted on Kripke structures, making it possible to define the standard necessity operator □ in terms of ≥.
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We add a binary operator ≥ to the logical language, with intended meaning of φ<ψ: ‘φ is at least as likely, probable, or trustworthy, as ψ’. The operator ≥ is interpreted on Kripke structures, making it possible to define the standard necessity operator □ in terms of ≥.
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Modals as Predicates of Modal Objects
2016This talk will outline a novel semantics of modals based not on possible worlds and quantifiers ranging over them, but on what I will call ‘modal objects’, entities of the sort of permissions, obligations, needs, abilities, and essences. According to that semantics, modal predicates take modal objects as their implicit (Davidsonian)
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Synthese, 2008
Kripke claims that there are necessary a posteriori truths and contingent a priori truths. These claims challenge the traditional Kantian view that (K) All knowledge of necessary truths is a priori and all a priori knowledge is of necessary truths.
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Kripke claims that there are necessary a posteriori truths and contingent a priori truths. These claims challenge the traditional Kantian view that (K) All knowledge of necessary truths is a priori and all a priori knowledge is of necessary truths.
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Studia Logica, 2012
The author develops a modal logic with the modalities ``always necessary'' and ``sometimes necessary'', and dual modalities for possibility. He gives a Hilbert-style axiomatization, and an adequate semantics via Kripke frames with arbitrary families of accessibility relations. This logic has the finite model property and is, hence, decidable.
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The author develops a modal logic with the modalities ``always necessary'' and ``sometimes necessary'', and dual modalities for possibility. He gives a Hilbert-style axiomatization, and an adequate semantics via Kripke frames with arbitrary families of accessibility relations. This logic has the finite model property and is, hence, decidable.
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Modal Scepticism, Unqualified Modality, and Modal Kinds
Philosophia, 2011I formulate and defend two sceptical theses on specific parts of our modal knowledge (unqualified and absolute modalities). My main point is that unqualified modal sentences are defective in that they fail to belong unambiguously to specific modal kinds and thus cannot be evaluated; hence, we must be sceptical of beliefs involving them.
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Synthese, 2000
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Synthese, 2003
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Journal of Symbolic Logic, 1946
The purpose of this article is to give a survey of some results I have found in investigations concerning logical modalities. The results refer: (1) to semantical systems, i.e., symbolic language systems for which semantical rules of interpretation are laid down; (2) to corresponding calculi, i.e., syntactical systems with primitive sentences and a ...
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The purpose of this article is to give a survey of some results I have found in investigations concerning logical modalities. The results refer: (1) to semantical systems, i.e., symbolic language systems for which semantical rules of interpretation are laid down; (2) to corresponding calculi, i.e., syntactical systems with primitive sentences and a ...
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