Editing Probability (section)

==Theory==
{{Main|Probability theory}}
Like other [[theory|theories]], the [[probability theory|theory of probability]] is a representation of its concepts in formal terms{{snd}}that is, in terms that can be considered separately from their meaning. These formal terms are manipulated by the rules of mathematics and logic, and any results are interpreted or translated back into the problem domain.

There have been at least two successful attempts to formalize probability, namely the [[Kolmogorov]] formulation and the [[Richard Threlkeld Cox|Cox]] formulation. In Kolmogorov's formulation (see also [[probability space]]), [[Set (mathematics)|sets]] are interpreted as [[Event (probability theory)|events]] and probability as a [[Measure (mathematics)|measure]] on a class of sets. In [[Cox's theorem]], probability is taken as a primitive (i.e., not further analyzed), and the emphasis is on constructing a consistent assignment of probability values to propositions. In both cases, the [[probability axioms|laws of probability]] are the same, except for technical details.

There are other methods for quantifying uncertainty, such as the [[Dempster–Shafer theory]] or [[possibility theory]], but those are essentially different and not compatible with the usually-understood laws of probability.