The sources of Kolmogorov's Grundbegriffe

Glenn Shafer, Vladimir Vovk

Research output: Contribution to journalReview articlepeer-review

51 Scopus citations


Andrei Kolmogorov's Grundbegriffe der Wahrscheinlichkeitsrechnung put probability's modern mathematical formalism in place. It also provided a philosophy of probability - an explanation of how the formalism can be connected to the world of experience. In this article, we examine the sources of these two aspects of the Grundbegriffe - the work of the earlier scholars whose ideas Kolmogorov synthesized.

Original languageEnglish (US)
Pages (from-to)70-98
Number of pages29
JournalStatistical Science
Issue number1
StatePublished - Feb 2006

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Mathematics(all)
  • Statistics, Probability and Uncertainty


  • Axioms for probability
  • Borel
  • Classical probability
  • Cournot's principle
  • Frequentism
  • Grundbegriffe der Wahrscheinlichkeitsrechnung
  • History of probability
  • Kolmogorov
  • Measure theory


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