Sentence examples for logics from high-quality English sources.

  • Substructural logics are non-classical logics weaker than classical logic, notable for the absence of structural rules present in classical logic.

  • In both cases, since we will be concentrating on logics of knowledge as opposed to logics of belief, the information-gained will be hard information.

  • We briefly present some of them here: hybrid temporal logics, metric and real-time temporal logics, and quantified propositional logics.

  • They are among the paraconsistent logics, which are logics according to which a sentence together with its negation will not entail any arbitrary sentence.

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  • As pointed by Schurz 1991, it is conceivable that some multimodal logics obtained as combination of modal logics by adding arbitrarily chosen bridge principles could be meaningless.

  • Fusion, even if it is a very natural method for combining modal logics, however, is not obviously extendable to combinations of non-normal modal logics with normal modal logics.

  • The class of selfextensional logics with a conjunction includes the so-called logics preserving degrees of truth studied in the fields of substructural logics and of many-valued logics.

  • Moreover, the universality of the construction allows one to define algebraic fibring in very different logical contexts (categories of logics), such as non-truth-functional logics, higher-order logics, sequent calculi etc.

  • These logics characterize a notion of nonmonotonic consequence rather than a conditional, but we will see below that there are interesting and important connections between non-nested conditional logics and preferential logics.

  • This section considers applications of free logic in theories of definite descriptions, languages that allow partial or non-strict functions, logics with Kripke semantics, logics of fiction and logics that are in a certain sense “Meinongian.”

  • Excitingly, there has been a recent surge in the recent development of information logics that combine the flexibility of categorial information theory with the subject matter of dynamic epistemic logics in order to design substructural epistemic logics.

  • Despite the fact that algebraic fibring is suitable for combining an ample class of logic systems, some kinds of logics, namely substructural logics such as linear logic, and logics equipped with a nondeterministic semantics, lie outside the scope of this combination method.

logics sentence examples

  • It should also be mentioned that logics similar to hybrid logics play a central role within the area of description logic, which is a family of logics used for knowledge representation in Artificial Intelligence, see the paper Blackburn and Tzakova (1998) and Carlos Areces’ PhD thesis (2000).

  • For a few research lines relevant to games, see Fagin and Halpern (1987) and Heifetz, Meier, and Schipper (2006) on epistemic logics with awareness, Artemov (2008) on justification logics, van Benthem and Pacuit (2011) on evidence logics, and Hansson (1998) and Lorini (2018) on doxastic logics with computationally tractable belief bases.

  • Besides the pure philosophical interest offered by the possibility of defining mixed logic systems in which distinct operators obey logics of different nature, as for instance erotetic logics (the logical analysis of questions) which require combining epistemic and deontic logics, there also exist many pragmatical and methodological reasons for considering combined logics.

  • Our rationale for doing as much is that one will get the technical details, and the particular philosophical issues that motivated them, from looking at specific logics—specific theories of logical consequence (e.g., relevant logics, substructural logics, non-monotonic logics, dynamic logics, modal logics, theories of quantification, and so on).

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