classical logic

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classical logic

(logic)
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Graphical knowledge representations have some advantage over classical logics since they can be understood by "common people" and can be interpreted faster.
There are many non-classical logics and many almost classical logics which differ only slightly from classical logic, but which permit the existence of nonmodal objects.
degli Studi di Torino, Italy) are classical logics extended by a conditional operator usually denoted an arrow .
On the density of implicational parts of intuitionistic and classical logics, Journal of Applied Non-Classical Logics, Vol.
Classical logics can formalize the deductive process: given a set of true propositions, it is possible to verify if other propositions are a logical consequence of the early set.
Statistics of intuitionistic versus classical logics. Studia Logica, 76(3):307-328, 2004.
The IDP System: A Model Expansion System for an Extension of Classical Logic. Paper presented at the Second Workshop on Logic and Search, Leuven, Belgium, 6-7 November.
It begins from an inferentialist, and particularly bilateralist, theory of meaning--one which takes meaning to be constituted by assertibility and deniability conditions--and shows how the usual multiple-conclusion sequent calculus for classical logic can be given an inferentialist motivation, leaving classical model theory as of only derivative importance.
It presupposes a good knowledge of classical logic and its model-theory, and also familiarity with the preferential semantics for systems of uncertain (aka nonmonotonic) consequence.
Finally, even the dialetheist can appeal to consistency in consistent situations, since classical logic is only a restricted form of LP.
This is demonstrated using a semantics according to which sentences may take some nonempty subset of the usual truth values, {t,f}, but otherwise life is as normal in classical logic.