Contributions to the Formal Theory of Probability

@inproceedings{Popper1994ContributionsTT,
  title={Contributions to the Formal Theory of Probability},
  author={Karl Raimund Sir Popper and David W. Miller},
  year={1994}
}
Popper (1959), Appendices *iv and *v) has given several axiom systems for probability that ensure, without further assumptions, that the domain of interpretation can be reduced to a Boolean algebra. This paper presents axiom systems for subtheories of probability theory that characterize in the same way lower semilattices (Section 1) and distributive lattices (Section 2). Section 1 gives a new (metamathematical) derivation of the laws of semilattices; and Section 2 one or two surprising… Expand
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