Foundations Of The Theory Of Probability. Translation Edited 1950 by Nathan Morrison

Andrey Nikolaevich Kolmogorov (1903 – 1987), a Russian mathematician appointed a professor at Moscow University in 1931, published his far-reaching monograph on probability theory in 1933. Kolmogorov's "Grundbegriffe der Wahrscheinlichkeitsrechnung," translated by Nathan Morrison in 1950, stands as a seminal work in probability theory. The book lays the groundwork for a rigorous and axiomatic approach to probability theory, introducing foundational concepts with clarity and mathematical precision. Kolmogorov's methodology involves defining probability through a set of axioms that provide a systematic framework for reasoning about uncertainty and randomness. By emphasizing measure theory and mathematical abstraction, he establishes a solid foundation for understanding probability as a mathematical discipline. The translation by Morrison ensures accessibility to English-speaking audiences, preserving the integrity and impact of Kolmogorov's influential work. This text remains an enduring reference for scholars and students alike, offering profound insights into the theoretical underpinnings of probability.

With his historical monograph, Kolmogorov built up probability theory in a rigorous way from fundamental axioms in a way comparable with Euclid's treatment of geometry. However, in this publication Kolmogoroff unfortunately did not contribute anything to the question whether there is any connection between geometry and probability theory itself.

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