Sentence examples for modal operator a from inspiring English sources

The semantic rules governing the modal operator 'A ' guarantee that every claim of the form AS will be either necessarily true or necessarily false in the sense of '□'.

Alternatively, one can choose to formalise knowledge as a modal operator in a suitable modal logic.

All sentences containing the word 'proposition' including such sentences as 'A modal operator expresses a function from propositions to truth values' mean no more and no less than sentences which contain neither this word nor an equivalent.

In both McDermott-Doyle's Nonmonotonic Logic I and Moore's Autoepistemic logic (McDermott and Doyle, 1982; Moore, 1985; Konolige 1994), a modal operator M (representing a kind of epistemic possibility) is used.

If the modal operator is an epistemic 'must', as she suggests, bare conditionals are a species of strict conditional — something like 'all live A-possibilities are C-possibilities'.

At the word rank, the modal operator should is a finite in the verbal group.

So we can think of the semantic value of the modal operator 'necessarily' as a function that maps necessarily true sentences to the truth value True and all other sentences to the value False.

Here [5a] is embedded in the scope of a negation operator and a modal operator, respectively, and it appears that these sentences commit a speaker to the truth of [5b] just as much as [5a] does.

This means that it is not a normal modal operator, and cannot be given a Kripke (relational) semantics.

Instead of worrying just what a name inside the scope of a modal operator might mean, we translate the language of quantified modal logic into a language without operators, but with quantifiers over worlds and other non-actual individuals.

The fact that 'ought' is not conveyed as a predicate, but as a modal operator ranging over actions or states of affairs, was responsible for the delay of formal treatments of this centuries-old question.