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.