Sentence examples for modal language in from inspiring English sources
So let L be a first-order modal language in the sense just defined.
Thus, using modal language in talking about the world and our agency in the world does not commit us to recognizing independent, metaphysically real necessary connections or the existence of moral facts independent of moral agents.
This can be achieved by altering the account of semantic validity for the modal language in question – e.g. through the use of so-called impossible worlds (Rantala 1982), awareness models (Fagin and Halpern 1988), or local models (Fagin and Halpern 1988).
It is a classical result of modal logic that if two states of two models are related by a bisimulation, then the states will satisfy exactly the same modal formulas, and in addition a first order property of states is definable in the basic modal language if and only if the property is preserved under bisimulation.
Interpretations like this for first-order modal languages in which each world has its own domain are known as Kripke models.
In order to be able to speak in a modal language about important distinctions between theories, researchers have extended provability logic in many different ways.
But it's all filtered through this African rhythmic sensibility – sixes against fours and threes against twos in the music on a deep level – and also the other elements of the Ethiopian sound, in particular the modal language, which is probably the thing that most conspicuously sets it apart from other African traditions.
Self-referentiality of justifications is a new phenomenon which is not present in the conventional modal language.
Let ℒ be a modal language whose names and predicates represent those in some fragment of ordinary language (as in our examples (5) and (6) above).
In order to articulate this point, the modal-structural interpretation is formulated in a second-order modal language based on S5.
But one might also capture lawlikeness in a first-order modal language supplemented with sentential operators for natural necessity and natural possibility (Niiniluoto 1983).
