Logic of likelihood |
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| Authors: | Michael J W Hall |
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| Institution: | (1) Department of Theoretical Physics, RSPSE, Australian National University, 2600 ACT, Australia |
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| Abstract: | The notion of  probability is generalized to that of likelihood, and a natural logical structure is shown to exist for any physical theory which predicts likelihoods. Two physically based axioms are given for this logicai structure to form an orthomodular poset, with an order-determining set of states. The results strengthen the basis of the quantum logic approach to axiomatic quantum theory. |
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