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Inconsistencies in the argument leading to the rule of succession

S. V. Bhave

Statistics & Probability Letters, 1989, vol. 7, issue 5, 435-440

Abstract: While thinkers like Jeffreys (1983) and Swinburne (1973) find Laplace's Rule of succession to be quite acceptable, others like Keynes (1943), Kneale (1952) and Polya (1968) have found the argument leading to it to be inconsistent. Actually, once the argument is put in symbolic logical form, it becomes clear that the derivation of the Rule of Succession is impossible unless certain propositions used in the argument are given numerical values of probabilities inconsistent with the premises, or the difference of the levels (in Tarski's sense) of the languages in which the different propositions are made, is ignored.

Keywords: levels; of; languages; true; in; L; probable; to; degree; p; in; L (search for similar items in EconPapers)
Date: 1989
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