Obituary: Andrei Nikolaevich Kolmogorov

0 Einstein and Bell , von Mises and Kolmogorov : reality and locality , frequency and probability Andrei Khrennikov

We perform analysis of Bell's arguments (and their generalizations) on the basis of the frequency approach to probability theory (R. von Mises, 1919). This analysis demonstrated that there are no physical arguments which support the existence of 'probability dis-tributions' which were formally used in all investigations based on the conventional (Kolmogorov, 1933) approach to probability theory...

Kolmogorov and Mathematical Logic

There are human beings whose intellectual power exceeds that of ordinary men. In my life, in my personal experience, there were three such men, and one of them was Andrei Nikolaevich Kolmogorov. I was lucky enough to be his immediate pupil. He invited me to be his pupil at the third year of my being student at the Moscow University. This talk is my tribute, my homage to my great teacher. Andrei...

Kolmogorov's Contributions to the Foundations of Probability

Andrei Nikolaevich Kolmogorov was the foremost contributor to the mathematical and philosophical foundations of probability in the twentieth century, and his thinking on the topic is still potent today. In this article we first review the three stages of Kolmogorov’s work on the foundations of probability: (1) his formulation of measure-theoretic probability, 1933, (2) his frequentist theory of...

The origins and legacy of Kolmogorov’s Grundbegriffe

April 25, 2003, marked the 100th anniversary of the birth of Andrei Nikolaevich Kolmogorov, the twentieth century’s foremost contributor to the mathematical and philosophical foundations of probability. The year 2003 was also the 70th anniversary of the publication of Kolmogorov’s Grundbegriffe der Wahrscheinlichkeitsrechnung. Kolmogorov’s Grundbegriffe put probability’s modern mathematical for...

Obituary