probability axioms
Sign in to saveAlso known as Kolmogorov axioms
axioms that are relevant to the probability theory
~8 min read
Encyclopedic overview
The standard probability axioms are the foundations of probability theory introduced by Russian mathematician Andrey Kolmogorov in 1933. Like all axiomatic systems, they outline the basic assumptions underlying the application of probability to fields such as pure mathematics and the physical sciences, while avoiding logical paradoxes.
The probability axioms do not specify or assume any particular interpretation of probability, but may be motivated by starting from a philosophical definition of probability and arguing that the axioms are satisfied by this definition. For example,
Excerpted from Wikipedia’s “probability axioms” article, available under the CC BY-SA 4.0 licence.