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С.А. Лебедев

26

Гуманитарный вестник

# 11·2017

Methodological analysis of the “probability” category

© S.A. Lebedev

Bauman Moscow State Technical University, Moscow, 105005, Russia

The purpose of the research was to carry out the methodological analysis of the “proba-

bility” category which is widely used in science, philosophy and practical activity. The

article describes basic interpretations of this category and evaluates their potentials in

terms of their methodological justification and field of application. Findings of the re-

search show that none of the existing interpretations of probability is universal concern-

ing the application, and at the same time each of them corresponds to the axiomatic defi-

nition of probability.

Keywords:

probability, interpretation of probability, axiomatic definition of probability,

methodology of science

REFERENCES

[1]

Laplace P.S.

Essai philosophique sur les probabilités.

Paris, 1814

[In Russ.:

Opyt filosofii teorii veroyatnosti (The experience of probability theory

philosophy). Moscow, 1908, 146 p.].

[2]

Rényi A.

Dialógusok a matematikáról

. Budapest, Akadémiai Kiadó, 1967.

Levelek a valószinüségröl

. Budapest, Akadémiai Kiadó, 1969.

Napló az

informácioelméletröl gondola

. Budapest, 1976 [In Russ.: Rényi A.

Trilogiya o

matematike

(Trilogy about mathematics). Moscow, Mir Publ., 1980, 375 p.].

[3]

Von Mises R.E..

Wahrscheinlichkeit, Statistik und Wahrheit.

Wien, Verlag von

Julius Springer, 1928

[In Russ.: Veroyatnost i statistika (Probability and

statistics). Moscow, Gosizdat Publ., 1936, 153 p.].

[4]

Khinchin A.Ya.

Voprosy filosofii — Russian Studies in Philosophy

, 1961, no. 1,

pp. 91–102, no. 2, pp. 77–89.

[5]

Reichenbach H.

The Theory of Probability

. Los Angeles, Berkley, 1949, р. 38.

[6]

Lenz J. The Frequency Theory of Probability. In: E. Madden, ed.

The Structure

of Scientific Thought.

Boston, 1960, рp. 54–67.

[7]

Carnap R.

Philosophical foundations of physics. An introduction to the

philosophy of science

. New York, London, Basic Books, Inc. Publishers, 1966

[In Russ.: Carnap R. Filosofskie osnovaniya fiziki (Philosophical foundations in

physics). Moscow, Progress Publ., 1971, 390 p.].

[8]

Lebedev S.A.

Induktsiya kak metod nauchnogo poznaniya

[Induction as the

method of scientific knowledge]. Moscow, Moscow State University Publ.,

1980, 192 p.

[9]

Lebedev S.A., Kudryavtsev I.K.

Vestnik moskovskogo universiteta. Seriya 7:

Filosofiya — Russian Studies in Philosophy

, 2005, no. 6, pp. 1–20.

[10]

Lebedev S.A., ed.

Filosofiya sovremennogo estestvoznaniya

[Philosophy of

Modern Natural Sciences]. Moscow, Fair-Pres Publ., 2004, 304 p.

[11]

Popper K.R.

Dialectica

, 1957, no. 11, рр. 7–19.

[12]

Ramsey F. Truth and Probability. In:

Studies in Subjective Probability

. New

York, 1964, рp. 3–20.

[13]

De Finetty B. Foresight: Its Logical Laws, Its Subjective Sours. In:

Studies in

Subjective Probability

. New York, 1964, рр. 110–118.