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26. Apr. 2024 · Kripke began his important work on the semantics of modal logic (the logic of modal notions such as necessity and possibility) while he was still a high-school student in Omaha, Nebraska. A groundbreaking paper from this period, “A Completeness Theorem for Modal Logic,” was published in the Journal of Symbolic Logic in 1959 ...
Vor 3 Tagen · In traditional semantics for classical logic and its extensions, such as modal logic, propositions are interpreted as subsets of a set, as in discrete duality, or as clopen sets of a Stone space, as in topological duality. A point in such a set can be viewed as a "possible world," with the key property of a world being primeness--a world makes a disjunction true only if it makes one of the ...
27. Apr. 2024 · In the first part of the subject, our focus is on the concepts of necessity and possibility, and the way that ‘possible worlds semantics’ has been used in theories of meaning. We will focus on the logic of necessity and possibility (modal logic), times (temporal logic), conditionality and dependence (counterfactuals), and the ...
30. Apr. 2024 · This long-awaited book replaces Hughes and Cresswell's two classic studies of modal logic with all the new developments that have taken place since 1968 in both modal propositional logic and modal predicate logic, without sacrificing clarity of exposition and approachability.
23. Apr. 2024 · We present a general approach to quantified modal logics that can simulate most other approaches. The language is based on operators indexed by terms which allow to express de re modalities and to control the interaction of modalities with the first-order machinery and with non-rigid designators. The semantics is based on a primitive counterpart relation holding between n-tuples of objects ...
Vor 3 Tagen · Abstract: In traditional semantics for classical logic and its extensions, such as modal logic, propositions are interpreted as subsets of a set, as in discrete duality, or as clopen sets of a Stone space, as in topological duality. A point in such a set can be viewed as a "possible world," with the key property of a world being primeness--a world makes a disjunction true only if it makes one ...
2. Mai 2024 · Types of Modal Logic Discuss different types of modal logic, including: Alethic Modal Logic: Dealing with necessity, possibility, and truth. Deontic Modal Logic: Concerned with obligation, permission, and moral necessity. Temporal Modal Logic: Addressing modalities of time and temporal relations.
