A Counterexample to Theorems of Cox and Fine

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

• Type: Conference
• Year: 1996
• Where: AAAI
• Authors: Joseph Y. Halpern
• Keywords: AAAI 1996, Cox's Assumptions, Cox's Well-known Theorem, Intelligent Agents, Nite Domains