1. Rainer Gottlob (2000). New Aspects of the Probabilistic Evaluation of Hypotheses and Experience. International Studies in the Philosophy of Science 14 (2):147 – 163.
    The probabilistic corroboration of two or more hypotheses or series of observations may be performed additively or multiplicatively . For additive corroboration (e.g. by Laplace's rule of succession), stochastic independence is needed. Inferences, based on overwhelming numbers of observations without unexplained counterinstances permit hyperinduction , whereby extremely high probabilities, bordering on certainty for all practical purposes may be achieved. For multiplicative corroboration, the error probabilities (1 - Pr) of two (or more) hypotheses are multiplied. The probabilities, obtained by reconverting the (...)
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  2. Rainer Gottlob (1995). Emeralds Are No Chameleons — Why “Grue” is Not Projectible for Induction. Journal for General Philosophy of Science 26 (2):259 - 268.
    The model function for induction of Goodmans's composite predicate "Grue" was examined by analysis. Two subpredicates were found, each containing two further predicates which are mutually exclusive (green and blue, observed before and after t). The rules for the inductive processing of composite predicates were studied with the more familiar predicate "blellow" (blue and yellow) for violets and primroses. The following rules for induction were violated by processing "grue": From two subpredicates only one (blue after t) appears in the conclusion. (...)
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  3. Rainer Gottlob (1992). How Scientists Confirm Universal Propositions (Laws of Nature). Dialectica 46 (2):123-139.
    SummaryScientists regard their inductive hypotheses as confirmed when consistence exists between two or more results obtained by differing methods. Three hierarchical levels of confirmation are applied . Certainty is obtained by the deductive element of the third level. The question of uniformity o i nature is less decisive than the question whether or not the complexity of the processes observed or the limited scope of our senses and instruments permits to see through the causal connections involved.
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