Logic as an internal organisation of language

Boris Čulina

Abstract


Contemporary semantic description of logic is based on the ontology of all possible interpretations, an insufficiently clear metaphysical concept. In this article, logic is described as the internal organization of language.  Logical concepts -- logical constants, logical truths, and logical consequence -- are defined using the internal syntactic and semantic structure of language. For a first-order language, it has been shown that its logical constants are connectives and a certain type of quantifiers for which the universal and existential quantifiers form a functionally complete set of quantifiers. Neither equality nor cardinal quantifiers belong to the logical constants of a first-order language.

Keywords


logic; logical concepts; logical constants; logical constants of a first order language; logical quantifiers; a functionally complete set of logical quantifiers

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DOI: http://dx.doi.org/10.23756/sp.v12i1.1582

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Science & Philosophy - Journal of Epistemology, Science and Philosophy. ISSN 2282-7757; eISSN  2282-7765.