Results 21 to 30 of about 87,429 (211)
Uniting Normal and Non-Normal Modal Logics by One Axiomatic System of Philosophical Epistemology
For the first time in analytic philosophy the universal theory of knowledge is precisely formulated and defined as an axiomatic system ?. For formulating it four axiom schemes are used.
V.O. Lobovikov
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Some Additional Axioms for T-normal Logics. Defining K45, KB4, KD45 and S5 without Using Modal Rules
The paper studies extensions of t-normal logics S0.5o and S0.5 obtained by means of some axioms of normal logics. We will prove determination theorems for these extensions by appropriate Kripke-style models.
Andrzej Pietruszczak
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Explicit non-normal modal logic [PDF]
Abstract Faroldi argues that deontic modals are hyperintensional and thus traditional modal logic cannot provide an appropriate formalization of deontic situations. To overcome this issue, we introduce novel justification logics as hyperintensional analogues to non-normal modal logics. We establish soundness and completeness with respect
Rohani, Atefeh, Studer, Thomas
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Note on the Intuitionistic Logic of False Belief
In this paper we analyse logic of false belief in the intuitionistic setting. This logic, studied in its classical version by Steinsvold, Fan, Gilbert and Venturi, describes the following situation: a formula $\varphi$ is not satisfied in a given world ...
Tomasz Witczak
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Graphical Sequent Calculi for Modal Logics [PDF]
The syntax of modal graphs is defined in terms of the continuous cut and broken cut following Charles Peirce's notation in the gamma part of his graphical logic of existential graphs.
Minghui Ma, Ahti-Veikko Pietarinen
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Density of truth in modal logics [PDF]
The aim of this paper is counting the probability that a random modal formula is a tautology. We examine $\{ \to,\Box \}$ fragment of two modal logics $\mathbf{S5}$ and $\mathbf{S4}$ over the language with one propositional variable.
Zofia Kostrzycka
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Fractional-Valued Modal Logic and Soft Bilateralism
In a recent paper, under the auspices of an unorthodox variety of bilateralism, we introduced a new kind of proof-theoretic semantics for the base modal logic \(\mathbf{K}\), whose values lie in the closed interval \([0,1]\) of rational numbers [14].
Mario Piazza +2 more
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Neighbourhood Structures: Bisimilarity and Basic Model Theory [PDF]
Neighbourhood structures are the standard semantic tool used to reason about non-normal modal logics. The logic of all neighbourhood models is called classical modal logic.
Helle Hvid Hansen +2 more
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This paper introduces the logics of super-strict implications, where a super-strict implication is a strengthening of C.I. Lewis' strict implication that avoids not only the paradoxes of material implication but also those of strict implication.
Guido Gherardi, Eugenio Orlandelli
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Complete Additivity and Modal Incompleteness [PDF]
In this paper, we tell a story about incompleteness in modal logic. The story weaves together a paper of van Benthem, `Syntactic aspects of modal incompleteness theorems,' and a longstanding open question: whether every normal modal logic can be ...
Holliday, Wesley H., Litak, Tadeusz
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