Modal Logic - Applications

Applications

• Modality has also been treated from the viewpoint of "counter-factuals" in literature (see Victorian Studies).

• Modality modifies propositions and modalities provide closure (i.e.: propositions with modalities are still propositions). Thus, as propositions constitute a part of language, they may be understood as subject to linguistic analysis such as that of Noam Chomsky. Modalities might then be viewed as being context-free, context-sensitive, or even fully phrase-structured (Chomsky type-0) languages. This broadens the view of modalities which are usually viewed as context-free. A discussion of this may be found under the Philosophy of language.

• Aristotle classified and discussed rhetoric as being based upon the enthymeme, thus closely related to logic. However, it is clear that if logic is extended by modal logics, multi-valued logics, etc., then rhetoric must also be extended by modern developments.