Key points are not available for this paper at this time.
Part 1 The origins of the problem: an outline of the issues the Baconian tradition in the philosophy of induction the rise of Pascalian probability the combination of Baconian and Pascalian themes. Part 2 The controversy about the nature of Pascalian probability: some general considerations indifference theories frequency theories propensity theories personalist theories multi-valued logic theories logical relation theories. Part 3 The foundations of pluralism in the analysis of probability: some logical distinctions exploited by differing analyses of Pascalian probability the appropriateness of different conceptions of Pascalian probability to different purposes the need to supplement Pascalian judgements by non-Pascalian ones how are different conceptions of probability possible? Part 4 The Pascalian gradation of ampliative induction: inductive probability under a realist construal inductive probability under a range-theoretical construal Pascalian gradation for variative induction inductive probability under a personalist construal. Part 5 The Baconian gradation of ampliative induction: inductive support by the method of relevant variables the logical syntax of the method of relevant variables some non-standard interpretations of Baconian logical syntax. Part 6 Four paradoxes about induction: the classical problem of induction the paradox of the ravens the grue paradox the lottery paradox.
A 1989 study studied this question.