Abstract
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 language | English (US) |
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Pages (from-to) | 70-98 |
Number of pages | 29 |
Journal | Statistical Science |
Volume | 21 |
Issue number | 1 |
DOIs | |
State | Published - Feb 2006 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Mathematics(all)
- Statistics, Probability and Uncertainty
Keywords
- Axioms for probability
- Borel
- Classical probability
- Cournot's principle
- Frequentism
- Grundbegriffe der Wahrscheinlichkeitsrechnung
- History of probability
- Kolmogorov
- Measure theory