Difference between revisions of "Cox's theorem"

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'''Cox's theorem''' states that any consistent system of representing beliefs that satisfies certain criteria of reasonableness must be structurally equivalent to Bayesian probability theory. Along with the [[Dutch book argument]], Cox's theorem is what allows us to have confidence in probability theory as a system of normative reasoning.
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'''Cox's theorem''' states that any system of representing beliefs that satisfies certain criteria of reasonableness must be structurally equivalent to [[probability]] theory.  
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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==
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*[[Probability]]
 
*[[Dutch book argument]]
 
*[[Dutch book argument]]
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==References==
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*{{Cite journal
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|title=Constructing a Logic of Plausible Inference: a Guide To Cox's Theorem
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|author=K. S. Van Horn
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|year=2003
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|journal=International Journal of Approximate Reasoning
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|volume=34
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|issue=1
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|pages=3-24
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}} ([http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.13.4276&rep=rep1&type=pdf PDF])
  
 
{{stub}}
 
{{stub}}
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[[Category:Math]]
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[[Category:Bayesian]]

Revision as of 03:58, 8 September 2009

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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)