E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics

  • R. D. Rosenkrantz

Part of the Synthese Library book series (SYLI, volume 158)

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. R. D. Rosenkrantz
    Pages 1-3
  3. R. D. Rosenkrantz
    Pages 39-76
  4. R. D. Rosenkrantz
    Pages 77-86
  5. R. D. Rosenkrantz
    Pages 87-113
  6. R. D. Rosenkrantz
    Pages 114-130
  7. R. D. Rosenkrantz
    Pages 131-148
  8. R. D. Rosenkrantz
    Pages 149-209
  9. R. D. Rosenkrantz
    Pages 210-314
  10. R. D. Rosenkrantz
    Pages 337-375
  11. R. D. Rosenkrantz
    Pages 376-400
  12. R. D. Rosenkrantz
    Pages 401-424
  13. Back Matter
    Pages 425-434

About this book

Introduction

The first six chapters of this volume present the author's 'predictive' or information theoretic' approach to statistical mechanics, in which the basic probability distributions over microstates are obtained as distributions of maximum entropy (Le. , as distributions that are most non-committal with regard to missing information among all those satisfying the macroscopically given constraints). There is then no need to make additional assumptions of ergodicity or metric transitivity; the theory proceeds entirely by inference from macroscopic measurements and the underlying dynamical assumptions. Moreover, the method of maximizing the entropy is completely general and applies, in particular, to irreversible processes as well as to reversible ones. The next three chapters provide a broader framework - at once Bayesian and objective - for maximum entropy inference. The basic principles of inference, including the usual axioms of probability, are seen to rest on nothing more than requirements of consistency, above all, the requirement that in two problems where we have the same information we must assign the same probabilities. Thus, statistical mechanics is viewed as a branch of a general theory of inference, and the latter as an extension of the ordinary logic of consistency. Those who are familiar with the literature of statistics and statistical mechanics will recognize in both of these steps a genuine 'scientific revolution' - a complete reversal of earlier conceptions - and one of no small significance.

Keywords

probability statistical physics statistics

Editors and affiliations

  • R. D. Rosenkrantz
    • 1
  1. 1.Department of MathematicsDartmouth CollegeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-6581-2
  • Copyright Information Springer Science+Business Media B.V. 1989
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-7923-0213-1
  • Online ISBN 978-94-009-6581-2
  • About this book