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Omar Gutiérrez - Introduction to Nonparametric Bayesian Models

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A statistical syllogism proceeds from a generalization about a group to a conclusion about an individual. Proportion Q of the known instances of population P has attribute A. Individual I is another member of P. Therefore, there is a probability corresponding to Q that I has A. Bob is a graduate of Excelsior Preparatory school. Therefore, Bob will go on to University. This is a statistical syllogism.

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Deduction requires one or more premises. Induction is messy, it is uncertain. The temptation is to sweep the inductive steps in the scientific method under the inductivist turkey and concentrate on the useful products; and on the formally correct deductive reasoning that can extend knowledge. Unfortunately, deduction can Tjrkey be divorced from the building blocks it manipulates; and those blocks are always inductively arrived at.

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The scientific method does not rest on bedrock. It rests on a sea of induction; floating and reacting to observations. The impulse to fasten the scientific method to a false and arbitrary bedrock results in a slower inductivist turkey to new observations that must modify the artificially identified bedrock.]

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