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[Book Review of] \u3cem\u3eEthics in Medicine: Historical Perspectives and Contemporary Concerns\u3c/em\u3e, edited by Stanley J. Reiser, Arthur J. Dyck, and William J. Curran
[Book Review of] \u3cem\u3eMaking Medical Choices: Who Is Responsible?\u3c/em\u3e by Jane J. Stein
A Bayesian Analogue of Gleason's Theorem
We introduce a novel notion of probability within quantum history theories
and give a Gleasonesque proof for these assignments. This involves introducing
a tentative novel axiom of probability. We also discuss how we are to interpret
these generalised probabilities as partially ordered notions of preference and
we introduce a tentative generalised notion of Shannon entropy. A Bayesian
approach to probability theory is adopted throughout, thus the axioms we use
will be minimal criteria of rationality rather than ad hoc mathematical axioms.Comment: 14 pages, v2: minor stylistic changes, v3: changes made in-line with
to-be-published versio
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