Logic as an internal organisation of language

Authors

DOI:

https://doi.org/10.23756/sp.v12i1.1582

Keywords:

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

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.

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Author Biography

  • Boris Čulina, University of Applied Sciences Velika Gorica
    Dean of the Mathematics Department
    college professor with tenure

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Published

2024-07-07

Issue

Vol. 12 No. 1 (2024)

Section

Volume 12 Issue 1 2024

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