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Probability axioms — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Probability_axioms
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-15T14:25:08.021Z
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Probability axioms — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Probability_axioms (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_c57094de20eb (Metraipolis archive dc_c57094de20eb, sha256 7c6e8407fd1076228d5ed409f7c3ff43fb8f0e18cfefbbd91e5db99357610b12)

BibTeX

@misc{dcc57094de20eb,
  title = {Probability axioms — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Probability_axioms},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_c57094de20eb; sha256 7c6e8407fd1076228d5ed409f7c3ff43fb8f0e18cfefbbd91e5db99357610b12},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Probability_axioms. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

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, Cox's theorem derives the laws of probability based on a "logical" definition of probability as the likelihood or credibility of arbitrary logical propositions. The Dutch book arguments show that rational agents must make bets which are in proportion with a subjective measure of the probability of events. The third axiom, σ-additivity, is relatively modern, and originates with Lebesgue's measure theory. Some authors replace this with the strictly weaker axiom of finite additivity, which is sufficient to deal with some applications.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; ricerca «probability theory»).
Fonte: Wikipedia in inglese, voce «Probability axioms» — https://en.wikipedia.org/wiki/Probability_axioms
Wikidata Q974605 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q974605
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Probability_axioms?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1374928479, consultata il 2026-10-15T13:54:56.308Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: f0eade309cc63a496b92422b38a65652f825d99021333753a34b1881a5b69d9b