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The Algebra of Probable Inference
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The Algebra of Probable Inference

The Algebra of Probable Inference

Richard T. Cox

114 pages, parution le 14/11/2002

Résumé

Exract from the preface
This essay had its beginning in an article of mine published in 1946 in the American Journal of Physics. The axioms of probability were formulated there and its rules were derived from them by Boolean algebra, as in the first part of this book. The relation between expectation and experience was described, although very scantily, as in the third part. For some years past, as I had time, I have developed further the suggestions made in that article. I am grateful for a leave of absence from my duties at the Johns Hopkins University, which has enabled me to bring them to such completion as they have here.
Meanwhile a transformation has taken place in the concept of entropy. In its earlier meaning it was restricted to thermodynamics and statistical mechanics, but now, in the theory of communication developed by C. E. Shannon and in subsequent work by other authors, it has become an important concept in the theory of probability. The second part of the present essay is concerned with entropy in this sense. Indeed I have proposed an even broader definition, on which the resources of Boolean algebra can be more strongly brought to bear. At the end of the essay, I have ventured some comments on Hume's criticism of induction...
R.T.C.

Contents
  • I. Probability
  • II. Entropy
  • II. Expectation

L'auteur - Richard T. Cox

Richard T. Cox was a professor of physics at the Johns Hopkins University. He was the author of several books on physics and biology.

Caractéristiques techniques

  PAPIER
Éditeur(s) Johns Hopkins
Auteur(s) Richard T. Cox
Parution 14/11/2002
Nb. de pages 114
Format 15 x 23
Couverture Broché
Poids 210g
Intérieur Noir et Blanc
EAN13 9780801869822
ISBN13 978-0-8018-6982-2

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