Sentence examples for modal semantics is from inspiring English sources

It should be noted that modal semantics is used here, and generally, in two different ways.

First, the correlation of cross-modal semantics is mined and the semantic objects are normalized for fusion.

It is in this clear sense that basic possible world semantics is an extensional semantic theory for modal languages.

As in Kripke's semantics, this semantics is designed for a first-order modal language L* with no individual constants.

A modal claim will then be true iff its translation into possible-world semantics is true in the fiction (let us call the account treated as fiction by Rosen the "Lewis story"[2]).

The first enrichment, standard possible worlds semantics, is introduced in order to explain the meaning of modal operators like 'possible' and 'necessary' and to distinguish the intuitive subject matter represented by particular subsentential expressions.

This sort of possible worlds semantics is the standard formal framework for clarifying the content of modal claims and the logical relations among them.

Hence, if possible world semantics is supplemented with abstractionist definitions of possible worlds, then the logical framework of possible world semantics becomes modal predicate logic as well and, as a consequence, the extensionality of the semantics is lost once again.

The semantics is not always carried out in relational terms (i.e., with Kripke Frames) but is done often algebraically (see Blackburn et al. 2001 for details of the algebraic approach to modal logic).

Proof-theoretic semantics is an alternative to truth-condition semantics.

Since, as noted above, the central motivation for possible world semantics was to deliver an extensional semantics for modal languages, any motivation for abstractionism as a semantic theory is arguably undermined.[30] However, it is not entirely clear that this observation constitutes an objection to abstractionism.