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Strongly representable atom structures of relation algebras
Accepted versio
Relation algebras with n-dimensional relational bases
Accepted versio
Betting on the Outcomes of Measurements: A Bayesian Theory of Quantum Probability
We develop a systematic approach to quantum probability as a theory of
rational betting in quantum gambles. In these games of chance the agent is
betting in advance on the outcomes of several (finitely many) incompatible
measurements. One of the measurements is subsequently chosen and performed and
the money placed on the other measurements is returned to the agent. We show
how the rules of rational betting imply all the interesting features of quantum
probability, even in such finite gambles. These include the uncertainty
principle and the violation of Bell's inequality among others. Quantum gambles
are closely related to quantum logic and provide a new semantics to it. We
conclude with a philosophical discussion on the interpretation of quantum
mechanics.Comment: 21 pages, 2 figure
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