Theory generally attributed to French mathematician and astronomer Pierre-Simon, Marquis de Laplace (1749-1827) in his Essai philosophique sur les probability (1820).
It says that the probability of an occurrence in a given situation is the proportion, among all possible outcomes, of those outcomes that include the given occurrence.
The main difficulty lies in dividing up the alternatives so as to ensure that they are equiprobable, for which purpose Laplace appealed to the controversial principle of indifference.
A related difficulty is that the theory seems to apply to at best a limited range of rather artificial cases, such as those involving throws of dice.
Source:
H E Kyburg, Probability and Inductive Logic (1970), ch. 3
Table of Contents
- 1 Videos
- 2 Related Products
- 2.1 Probability Theory of Classical Euclidean Optimization Problems (Lecture Notes in Mathematics)
- 2.2 Game-Theoretic Foundations for Probability and Finance (Wiley Series in Probability and Statistics)
- 2.3 Classical Potential Theory and Its Probabilistic Counterpart (Classics in Mathematics)
- 2.4 A Course in Probability Theory, Third Edition
- 2.5 Stochastic Models, Information Theory, and Lie Groups, Volume 1: Classical Results and Geometric Methods (Applied and Numerical Harmonic Analysis)
- 2.6 The Narrow Corridor: States, Societies, and the Fate of Liberty
- 2.7 Kendall's Advanced Theory of Statistics, Classical Inference and the Linear Model
- 2.8 Probability and Randomness: Quantum Versus Classical
- 2.9 A History of the Central Limit Theorem: From Classical to Modern Probability Theory (Sources and Studies in the History of Mathematics and Physical Sciences)
- 2.10 Classical Econophysics (Routledge Advances in Experimental and Computable Economics)
- frequency theory of probability
- logical relation theory of probability
- range theories of probability
- subjectivist theories of probability
- propensity theory of probability
Videos
Probability Theory of Classical Euclidean Optimization Problems (Lecture Notes in Mathematics)
- Used Book in Good Condition
- Yukich, Joseph E. (Author)
- English (Publication Language)
- 164 Pages - 04/24/1998 (Publication Date) - Springer (Publisher)
Game-Theoretic Foundations for Probability and Finance (Wiley Series in Probability and Statistics)
- Hardcover Book
- Shafer, Glenn (Author)
- English (Publication Language)
- 480 Pages - 05/29/2019 (Publication Date) - Wiley (Publisher)
Classical Potential Theory and Its Probabilistic Counterpart (Classics in Mathematics)
- Used Book in Good Condition
- Doob, Joseph L. (Author)
- English (Publication Language)
- 870 Pages - 01/12/2001 (Publication Date) - Springer (Publisher)
A Course in Probability Theory, Third Edition
- Chung, Kai Lai (Author)
- English (Publication Language)
- 419 Pages - 10/23/2000 (Publication Date) - Academic Press (Publisher)
Stochastic Models, Information Theory, and Lie Groups, Volume 1: Classical Results and Geometric Methods (Applied and Numerical Harmonic Analysis)
- Hardcover Book
- Chirikjian, Gregory S. (Author)
- English (Publication Language)
- 405 Pages - 09/15/2009 (Publication Date) - Birkhäuser (Publisher)
The Narrow Corridor: States, Societies, and the Fate of Liberty
- Amazon Kindle Edition
- Acemoglu, Daron (Author)
- English (Publication Language)
- 576 Pages - 09/24/2019 (Publication Date) - Penguin Press (Publisher)
Kendall's Advanced Theory of Statistics, Classical Inference and the Linear Model
- Hardcover Book
- Stuart, Alan (Author)
- English (Publication Language)
- 912 Pages - 02/22/2010 (Publication Date) - Wiley (Publisher)
Probability and Randomness: Quantum Versus Classical
- Hardcover Book
- Khrennikov, Andrei Yu (Author)
- English (Publication Language)
- 300 Pages - 04/28/2016 (Publication Date) - Imperial College Press (Publisher)
A History of the Central Limit Theorem: From Classical to Modern Probability Theory (Sources and Studies in the History of Mathematics and Physical Sciences)
- Used Book in Good Condition
- Fischer, Hans (Author)
- English (Publication Language)
- 418 Pages - 12/01/2012 (Publication Date) - Springer (Publisher)
Classical Econophysics (Routledge Advances in Experimental and Computable Economics)
- Cottrell, Allin F. (Author)
- English (Publication Language)
- 384 Pages - 08/17/2011 (Publication Date) - Routledge (Publisher)
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