Creating Modern Probability: Its Mathematics, Physics and Philosophy in Historical Perspective

by Jan von Plato

• ISBN13: 9780521444033
• ISBN10: 0521444039
• Format: Hardcover
• Copyright: 1994-01-28
• Publisher: Cambridge University Press

Summary

This is the only book to chart the history and development of modern probability theory. It shows how in the first thirty years of this century probability theory became a mathematical science. The author also traces the development of probabilistic concepts and theories in statistical and quantum physics. There are chapters dealing with chance phenomena, as well as the main mathematical theories of today, together with their foundational and philosophical problems. Among the theorists whose work is treated at some length are Kolmogorov, von Mises and de Finetti. The principal audience for the book comprises philosophers and historians of science, mathematicians concerned with probability and statistics, and physicists. The book will also interest anyone fascinated by twentieth-century scientific developments because the birth of modern probability is closely tied to the change from a determinist to an indeterminist world-view.

Table of Contents

Preface

1. Introduction

2. Pathways to modern probability

3. Probability in statistical physics

4. Quantum mechanical probability and indeterminism

5. Classical embeddings of probability and chance

6. Von Mises' frequentist probabilities

7. Kolmogorov's measure theoretic probabilities

8. De Finetti's subjective probabilities

Supplement: Nicole Oresme and the ergodicity of rotations

Bibliography

Index of names

Index of subjects.