Symmetry and its Discontents
Essays on the History of Inductive Probability

This volume contains essays on the history and philosophy of probability and statistics.

S. L. Zabell (Author)

9780521449120, Cambridge University Press

Paperback, published 6 June 2005

292 pages
22.9 x 15.5 x 1.6 cm, 0.395 kg

'This is a valuable collection of the author's 11 contributions (1982–1997) which are sufficiently documented and contain many quotations.' Zentralblatt MATH

This volume brings together a collection of essays on the history and philosophy of probability and statistics by one of the eminent scholars in these subjects. Written over the last fifteen years, they fall into three broad categories. The first deals with the use of symmetry arguments in inductive probability, in particular, their use in deriving rules of succession (Carnap's 'continuum of inductive methods'). The second group deals with four outstanding individuals who made lasting contributions to probability and statistics in very different ways: Frank Ramsey, R. A. Fisher, Alan Turing, and Abraham de Moivre. The last group of essays deals with the problem of 'predicting the unpredictable' - making predictions when the range of possible outcomes is unknown in advance. The essays weave together the history and philosophy of these subjects and document the fascination that they have exercised for more than three centuries.

Part I. Probability: 1. Symmetry and its discontents
2. The rule of succession
3. Buffon, Price, and Laplace: scientific attribution in the eighteenth century
4. W. E. Johnson's sufficientness postulate. Part II. Personalities: 5 Abraham De Moivre and the birth of the Central Limit Theorem
6 Ramsey, truth, and probability
7. R. A. Fisher on the history of inverse probability
8. R. A. Fisher and the fiducial argument
9. Alan Turing and the Central Limit Theorem
Part III. Prediction: 10. Predicting the unpredictable
11. The continuum of inductive methods revised.

Subject Areas: Philosophy of science [PDA], Philosophy of mathematics [PBB], Coding theory & cryptology [GPJ], Information theory [GPF]