A Counter Example to Theorems of Cox and Fine

Details A Counter Example to Theorems of Cox and Fine A Counter Example to Theorems of Cox and Fine

2011-05-27

arxiv.org/abs/1105.5450v1

Journal Of Artificial Intelligence Research, Volume 10, pages 67-85, 1999

Computer Science

Artificial Intelligence

Scientific paper

10.1613/jair.536

Cox's well-known theorem justifying the use of probability is shown not to
hold in finite domains. The counterexample also suggests that Cox's assumptions
are insufficient to prove the result even in infinite domains. The same
counterexample is used to disprove a result of Fine on comparative conditional
probability.

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