Graduate studies at Western
International Studies in the Philosophy of Science 14 (2):147 – 163 (2000)
|Abstract||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 product, are valid for both of the hypotheses and indicate the gain by corroboration.. This method is mathematically correct, no probabilities > 1 can result (as in some conventional methods) and high probabilities with fewer observations may be obtained, however, semantical independence is a prerequisite. The combined method consists of (1) the additive computation of the error probabilities (1 - Pr) of two or more single hypotheses, whereby arbitrariness is avoided or at least reduced and (2) the multiplicative procedure . The high reliability of Empirical Counterfactual Statements is explained by the possibility of multiplicative corroboration of "all-no" statements due to their strict semantical independence.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
E. Kurt Lienau & Rob DeSalle (forthcoming). Evidence, Content and Corroboration and the Tree of Life. Acta Biotheoretica.
Richard Swinburne (2011). Gwiazda on the Bayesian Argument for God. Philosophia 39 (2):393-396.
Festa, Roberto, Optimum Inductive Methods. A Study in Inductive Probability, Bayesian Statistics, and Verisimilitude.
John C. Harsanyi (1983). Bayesian Decision Theory, Subjective and Objective Probabilities, and Acceptance of Empirical Hypotheses. Synthese 57 (3):341 - 365.
Manfred Jaeger (2005). A Logic for Inductive Probabilistic Reasoning. Synthese 144 (2):181 - 248.
Darrell P. Rowbottom (2010). Corroboration and Auxiliary Hypotheses: Duhem's Thesis Revisited. Synthese 177 (1):139-149.
Darrell P. Rowbottom (2008). Intersubjective Corroboration. Studies in History and Philosophy of Science Part A 39 (1):124-132.
Added to index2009-01-28
Total downloads6 ( #154,793 of 739,303 )
Recent downloads (6 months)0
How can I increase my downloads?