Historical, Philosophical, Political and Law Sciences, Culturology and Study of Art. Issues of Theory and Practice. Tambov: Gramota, 2017. № 12. Part 2. P. 26-29.
THE BASIC PRINCIPLES OF SET-THEORETIC STRATEGY OF FORMALIZATION AND AXIOMATIZATION OF SCIENTIFIC KNOWLEDGE
Arkhiereev Nikolai L'vovich
Bauman Moscow State Technical University
Abstract. The article analyzes the problem of applying the axiomatic method to the characteristic of the structure of natural scientific theories, considers the peculiarities of the application of the model notion in the sense of Tarski to the axiomatization of the theories of mathematics and physics, reveals the specifics of the interpretation of the truth notion when characterizing the proposals of natural scientific theories. The formulations of the representation theorem underlying the measurement theory and characterizing the classes of admissible models of various theories are given.
Key words and phrases: предикат, множество, аксиоматизация теории, модель теории, теорема представления, теория измерения, predicate, set, axiomatization of theory, model of theory, representation theorem, measurement theory
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