It is often said that a person P knows the meaning of a sentence S if P knows S’s truth-conditions, in the sense that given
any possible world (or possible situation), P knows whether S is true in that world (or situation). This idea of sentence-meaning
corresponds fairly closely to what Frege, Russell, Carnap, and other philosophers have had in mind in speaking of the senses,
prepositional
... [Show full abstract] contents, or “locutionary” meanings of sentences; and, not unnaturally, it has encouraged semanticists such
as David Lewis, Robert Stalnaker and Max Cresswell to suggest that sentence-meanings or propositions simply are functions from the set of possible worlds onto the truth-values.1