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Created by Zack_M_Davis at 3y

**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~~an argument for considering probability theory as a ~~system~~normative theory of~~ normative~~ reasoning.

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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.

Cox's theoremstates that any system of representing~~beliefs~~plausibilities that satisfies certain criteria of reasonableness must be structurally equivalent to probability theory.