A modal connective (or modal operator) is a logical connective for modal logic. It is an operator which forms propositions from propositions. In general, a modal operator has the "formal" property of being non-truth-functional in the following sense: The truth-value of composite formulae sometimes depend on factors other than the actual truth-value of their components. In the case of alethic modal logic, a modal operator can be said to be truth-functional in another sense, namely, that of being sensitive only to the distribution of truth-values across possible worlds, actual or not. Finally, a modal operator is "intuitively" characterized by expressing a modal attitude (such as necessity, possibility, belief, or knowledge) about the proposition to which the operator is applied.[1]
^Garson, James (2021). "Modal Logic". The Stanford Encyclopedia of Philosophy (Summer 2021 ed.). Metaphysics Research Lab, Stanford University. Retrieved 5 February 2024.
A modal connective (or modaloperator) is a logical connective for modal logic. It is an operator which forms propositions from propositions. In general...
tautology in deontic modal logic, since what ought to be true can be false. Modal logics are formal systems that include unary operators such as ◊ {\displaystyle...
existential quantifiers are within the scope of the modaloperator, whereas in de re claims the modaloperator falls within the scope of the existential quantifier...
Epistemic modal logic is a subfield of modal logic that is concerned with reasoning about knowledge. While epistemology has a long philosophical tradition...
(media) in a single artifact Multimodal logic modal logic that has more than one primitive modaloperator Evolutionary multimodal optimization, finding...
logical symbols Logic gate § Symbols Logical connective Mathematical operators and symbols in Unicode Non-logical symbol Polish notation Truth function...
are multiple agents involved in the domain of discourse, the deontic modaloperator can be specified to each agent to express their individual obligations...
illocutionary operators, such as the assertion operator, question operator or imperative operator. According to him this explains why most epistemic modals in English...
following examples with the modal adjective in bold. Here the modal adjective is analyzed semantically as a sentential modaloperator. It's possible that some...
interior algebra. The interior operator in this case corresponds to the modaloperator □ (necessarily), while the closure operator corresponds to ◊ (possibly)...
{\displaystyle \Box } , or ⥽) is a conditional governed by a modaloperator, that is, a logical connective of modal logic. It is logically equivalent to the material...
two cases: (i) when t is irreferential and (ii) when Q contains modaloperators. In modal logic the "de re / de dicto distinction" is stated as 1. (DE DICTO):...
Dialetheism Four-valued logic List of Boolean algebra topics Logical constant Modaloperator Propositional calculus Term logic Tetralemma Truth function Truth table...
which consists of more than 100 universities nationwide conducts multi-modal research and education programs. The European Commission has invested heavily...
denotes a set of beliefs. In doxastic logic, belief is treated as a modaloperator. There is complete parallelism between a person who believes propositions...
published a book, Time and Modality, in which he introduced a propositional modal logic with two temporal connectives (modaloperators), F and P, corresponding...
receive a logical conjunctive interpretation when it interacts with a modaloperator. For example, the following English sentences can be interpreted to...
Look up Appendix:English modal verbs in Wiktionary, the free dictionary. The English modal auxiliary verbs are a subset of the English auxiliary verbs...
logic is a modal logic that has more than one primitive modaloperator. They find substantial applications in theoretical computer science. A modal logic with...
In modal logic, the window operator △ {\displaystyle \triangle } is a modaloperator with the following semantic definition: M , w ⊨ △ ϕ ⟺ ∀ u , M , u...
Boolean-valued function List of Boolean algebra topics Logical constant Modaloperator Propositional calculus Truth-functional propositional logic Roy T. Cook...
'into' modal contexts. The operators appear in the grammar as sentential functors, they are called modaloperators. As mentioned, precursors of modal logic...