Abstract
The idea of assigning probabilities by the principle of group invariance developed in a way parallel to that of the principle of maximum entropy. In both cases the original motivation (at least for me) was that the principle expressed in mathematical terms what seemed intuitively the ‘most honest’ description of a state of knowledge. In neither case was there any connection with frequencies — or indeed any reference to a repetitive ‘random experiment’.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
E. T. Jaynes, Prior probabilities, IEEE Trans. Systems Sci. Cybernetics SSC-4 (3), 227–241 (1968).
J. Bertrand, Calcul des probabilités ( Gauthier-Villars, Paris, 1889 ), pp. 4–5.
E. Borel, Éléments de la théorie des probabilités ( Hermann et FiJs, Paris, 1909 ), pp. 110–113.
H. Poincaré, Calcul des probabilités (Paris, 1912), pp. 118–130.
J. V. Uspensky, Introduction to Mathematical Probability ( McGraw-Hill, New York, 1937 ), p. 251.
E. P. Northrup, Riddles in Mathematics (van Nostrand, New York, 1944 ), pp. 181–183.
B. V. Gnedenko, The Theory of Probability (Chelsea Publ. Co., New York, 1962 ), pp. 40–41.
M. G. Kendall and P. A. P. Moran, Geometrical Probability (Hafner Publ. Co., New York, 1963 ), p. 10.
W. Weaver, Lady Luck: the Theory of Probability ( Doubleday-Anchor, Garden City, New York, 1963 ), pp. 356–357.
R. von Mises, in Mathematical Theory of Probability and Statistics, H. Geiringer, ed. ( Academic Press, New York, 1964 ), pp. 160–166.
R. von Mises, Probability, Statistics and Truth ( Macmillan, New York, 1957 ).
F. Mosteller, Fifty Challenging Problems in Probability ( Addison-Wesley, Reading, Massachusetts, 1965 ), p. 40.
E. P. Wigner, Gruppentheorie und ihre Anwendung auf die Quantenmechanik der Atomspektren (Fr. Vieweg, Braunschweig, 1931 ).
H. Weyl, The Classical Groups (Princeton University Press, Princeton, New Jersey, 1946 ).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Kluwer Academic Publishers
About this chapter
Cite this chapter
Rosenkrantz, R.D. (1989). The Well-Posed Problem (1973). In: Rosenkrantz, R.D. (eds) E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics. Synthese Library, vol 158. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6581-2_8
Download citation
DOI: https://doi.org/10.1007/978-94-009-6581-2_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-0213-1
Online ISBN: 978-94-009-6581-2
eBook Packages: Springer Book Archive