# Difference between revisions of "Cox's theorem"

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− | '''Cox's theorem''' states that any | + | {{wikilink}} |

+ | '''Cox's theorem''' states that any system of representing beliefs that satisfies certain criteria of reasonableness must be structurally equivalent to [[probability]] theory. | ||

+ | |||

+ | Along with the [[Dutch book argument]], Cox's theorem is an argument for considering probability theory as a normative theory of reasoning. | ||

==See also== | ==See also== | ||

+ | |||

+ | *[[Probability]] | ||

*[[Dutch book argument]] | *[[Dutch book argument]] | ||

+ | |||

+ | ==References== | ||

+ | |||

+ | *{{Cite journal | ||

+ | |title=Constructing a Logic of Plausible Inference: a Guide To Cox's Theorem | ||

+ | |author=K. S. Van Horn | ||

+ | |year=2003 | ||

+ | |journal=International Journal of Approximate Reasoning | ||

+ | |volume=34 | ||

+ | |issue=1 | ||

+ | |pages=3-24 | ||

+ | }} ([http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.13.4276&rep=rep1&type=pdf PDF]) | ||

{{stub}} | {{stub}} | ||

+ | [[Category:Math]] | ||

+ | [[Category:Bayesian]] |

## Latest revision as of 03:18, 29 September 2009

**Cox's theorem** states that any system of representing beliefs that satisfies certain criteria of reasonableness must be structurally equivalent to probability theory.

Along with the Dutch book argument, Cox's theorem is an argument for considering probability theory as a normative theory of reasoning.

## See also

## References

- K. S. Van Horn (2003). "Constructing a Logic of Plausible Inference: a Guide To Cox's Theorem".
*International Journal of Approximate Reasoning***34**(1): 3-24. (PDF)