Inductive logic vs mathematical statistics
Abstract
The early concepts of the inductive logic have origin by ancient and medieval thinkers, but the true development we observe just in the second half of XIX century when the probability theory was applied there. In the XX century a real explosion of papers in this area is observed, but generally this literature is based on the subjective probabilities concepts. It is observed also an unpleasant gap between this direction and the excellent development of mathematical statistics which is very efficient technically, but the philosophical foundations of this apparatus were loitering downwards. It seems to be an misunderstanding that some controversies between statisticians caused a small statistical experience by the authors of inductive logic and vice versa − the methodology of mathematical statistics was not supported by the philosophical thought.
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