Historical, Philosophical, Political and Law Sciences, Culturology and Study of Art. Issues of Theory and Practice. Tambov: Gramota, 2012. № 7. Part 1. P. 176-180.
PHILOSOPHICAL APPROVAL AND CRITICISM OF SET-THEORETICAL APPROACH IN MODERN NATURAL SCIENCE
Sarumov Aleksei Andreevich
Far-Eastern Federal University
Abstract. The author proposes to consider the set-theoretical view of the world from philosophical positions. The set-theoretical approach originates in mathematics and, like any theory, develops over time. In this regard, it is entirely possible that paradoxes and contradictions appear, and it is natural that the dispute begins. In this connection it is advisable to study the philosophical approval and criticism of the set-theoretical approach to modern natural science.
Key words and phrases: философия, математика, естествознание, классическая теория множеств, теоретико-множественный подход, множество, интуиционизм, формализм, philosophy, mathematics, natural science, classical theory of sets, set-theoretical approach, set, intuitionism, formalism
Open the whole article in PDF format. Free PDF-files viewer can be downloaded here.
References:
Aleksandrov P. S. Vvedenie v teoriyu mnozhestv i obshchuyu topologiyu. M.: Glavnaya redaktsiya fiziko-matematicheskoi literatury Izdatel'stva "Nauka", 1977. 368 s.
Arkhangel'skii A. V. Kantorovskaya teoriya mnozhestv. M.: Izd-vo MGU, 1988. 112 s.
Veil' G. O filosofii matematiki / per. s nem.; predisl. S. A. Yanovskoi; vstup. st. A. P. Yushkevicha. Izd-e 2-e, stereotipnoe. M.: KomKniga, 2005. 128 s.
Gusserl' E. Filosofiya kak strogaya nauka. Novocherkassk: Saguna, 1994. 752 s.
Kantor G. Trudy po teorii mnozhestv. M.: Nauka, 1985. 430 s.
Medvedev F. A. Razvitie teorii mnozhestv v XIX v. M.: Nauka, 1965. 232 s.
Serpinskii V. O teorii mnozhestva. M.: Prosveshchenie, 1966. 62 s.
Filosofskii entsiklopedicheskii slovar' / gl. red. L. F. Il'ichev, P. N. Fedoseev, S. M. Kovalev, V. G. Panov. M.: Sovetskaya entsiklopediya, 1983. 840 s.
Frenkel' A., Bar-Khillel I. Osnovaniya teorii mnozhestv. M.: Mir, 1966. 555 s.