Abstract
The starting point for the entire presentation is the concept of concrete objects. We regard this concept as a primary one, which cannot be reduced to any simpler concepts, and will only try to explain it. We perceive concrete objects in the most usual, trivial sense, that is, as quite definite, actually existing objects. It is precisely concrete objects that are the subject of any direct experimental study (observation, measurement, etc.)
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Bertrand, J.: 1889 (1st edn.) and 1907 (2nd edn.), Calcul desProbabilites, Gauthier-Villars, Paris; reprint of the 2nd edn. by Chelsea, New York, 1972. The book contains the original formulation of Bertrand’s paradox.
Cramer, H.: 1946, Mathematical Methods of Statistics, Princeton U.P., Princeton. This excellent book contains sufficient information on the theory of sets, including the definition of Lebesgue’s measure.
Kamke, E.: 1956 (1st edn.) and 1960 (2nd edn.), Das Lebesgue-Stieltjes-Integral, Taubner, Leipzig. This wonderful book can be used by readers who wish to gain a deeper insight into some aspects of the mathematical apparatus of probabilistics.
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Mayants, L. S.: 1973, Found. Phys. 3, 413. This paper formulates for the first time the fundamental principles of probabilistics, which is referred to as the complete probability theory.
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© 1984 D. Reidel Publishing Company, Dordrecht, Holland
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Mayants, L. (1984). Principal Concepts. In: The Enigma of Probability and Physics. Fundamental Theories of Physics, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6294-1_1
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DOI: https://doi.org/10.1007/978-94-009-6294-1_1
Publisher Name: Springer, Dordrecht
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