Questions tagged [kolmogorov-axioms]

Constitute Kolmogorov's mathematical definition of a probability space. It is a triplet $(\Omega, \mathcal F, P)$ where $P$ has to satisfy three axioms: non-negativity, adding to one, and countable addivity.

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Is there any *mathematical* basis for the Bayesian vs frequentist debate?

It says on Wikipedia that: the mathematics [of probability] is largely independent of any interpretation of probability. Question: Then if we want to be mathematically correct, shouldn't we ...
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Do Bayesians accept Kolmogorov's axioms?

Usually probability theory is taught with Kolgomorov's axioms. Do Bayesians also accept Kolmogorov's axioms?