Cox's Theorem

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

• (PDFConstructing a Logic of Plausible Inference: A Guide to Cox's Theorem)

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 inan argument for considering probability theory as a systemnormative theory of normative reasoning.

• Probability
• Dutch book argument

References

• (PDF)

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.

See also

• Dutch book argument