Formal-Axiological Semantics of Natural Language of Metaphysics: Measurement, Commensurability, Incommensurability, Symmetry, Asymmetry, as Concepts of Ancient Greek Geometry, and as Evaluation-Functions in Two-Valued Algebra of Metaphysics as Formal Axio

Abstract

The given article is devoted to investigating formal-axiological semantics of natural language in general and of a system of evaluation-functional meanings of the words “measurement”, “commensurability”, “incommensurability”, “symmetry”, “asymmetry”, “harmony” in natural language of metaphysics, especially. The subject-matters of study are not descriptive-indicative meanings of the mentioned words, which have been systematically researched for a long time by mathematics, physics, and other sciences, but qualitatively new (namely, evaluation-functional) meanings of these words, which are still insufficiently recognized and studied as such. The method of investigation is mathematical modeling. An artificial language of two-valued algebra of metaphysics as formal axiology is exploited. The article presents precise tabular definitions of the evaluation-functions, which are meanings of the words: “measurement”, “commensurability”, “incommensurability”, “symmetry”, “asymmetry”, “harmony”, and others in natural language of metaphysics. By means of the suggested system of precise definitions of basic notions of algebra of metaphysics and accurate computing values of compositions of the mentioned evaluation-functions, such a list of formal-axiological equations (and of their translations into natural human language) is generated, which deserves attention of researchers.