Titlebook: Belief and Probability; John M. Vickers Book 1976 D. Reidel Publishing Company, Dordrecht, Holland 1976 coherence.concept.conditional.know

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https://doi.org/10.1007/978-3-663-02583-2 to have determinate meanings. We understand a sentence to be much like what logicians have traditionally referred to as a .; it is the bearer of truth or falsity, the intended object of thought, what is contemplated in an assertoric judgment, the ontent of an assertion, and so on.

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https://doi.org/10.1007/978-3-663-02583-2 belief is not reducible to such willingness or disposition, and it also seems clear that in at least some cases willingness to gamble in stakes of utility is at least an important consequence of believing.

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https://doi.org/10.1007/978-3-642-95879-3f probabilitywere developed for objects — sentences — of finite complexity. The account showed that there are nice relations among (i) probabilities on sets of sentences, (ii) probabilities on the Tarski-Lindenbaum Algebras associated with those sets of sentences, (iii) the transparency of partial b

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Infinity and the Sum Condition,In Chapter IV the laws of probability were related to the simple sum condition: If Ω is a denumerable field of sentences, . an absolutely consistent and at least tautological logic, and . . numerical function on Ω, then Ω, . and . satisfy the simple sum condition if and only if for every subset . of Ω.

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Logic and Probability, to have determinate meanings. We understand a sentence to be much like what logicians have traditionally referred to as a .; it is the bearer of truth or falsity, the intended object of thought, what is contemplated in an assertoric judgment, the ontent of an assertion, and so on.

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Coherence and the Sum Condition, belief is not reducible to such willingness or disposition, and it also seems clear that in at least some cases willingness to gamble in stakes of utility is at least an important consequence of believing.

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Belief and Probability978-94-010-1158-7Series ISSN 0166-6991 Series E-ISSN 2542-8292

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