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February 2006 The Sources of Kolmogorov’s Grundbegriffe
Glenn Shafer, Vladimir Vovk
Statist. Sci. 21(1): 70-98 (February 2006). DOI: 10.1214/088342305000000467


Andrei Kolmogorov’s Grundbegriffe der Wahrscheinlichkeits-rechnung 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.


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Glenn Shafer. Vladimir Vovk. "The Sources of Kolmogorov’s Grundbegriffe." Statist. Sci. 21 (1) 70 - 98, February 2006.


Published: February 2006
First available in Project Euclid: 6 June 2006

zbMATH: 05191852
MathSciNet: MR2275967
Digital Object Identifier: 10.1214/088342305000000467

Keywords: Axioms for probability , Borel , classical probability , Cournot’s principle , frequentism , Grundbegriffe der Wahrscheinlichkeits-rechnung , History of probability , Kolmogorov , measure theory

Rights: Copyright © 2006 Institute of Mathematical Statistics

Vol.21 • No. 1 • February 2006
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