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 A Course in Probability Theory, Third Edition
- 2.2 Probability Theory: Third Edition (Dover Books on Mathematics)
- 2.3 Introduction to Probability, 2nd Edition
- 2.4 Computerized Multistage Testing: Theory and Applications (Chapman & Hall/CRC Statistics in the Social and Behavioral Sciences)
- 2.5 Game-Theoretic Foundations for Probability and Finance (Wiley Series in Probability and Statistics)
- 2.6 Classical Potential Theory and Its Probabilistic Counterpart (Classics in Mathematics)
- 2.7 The Random Matrix Theory of the Classical Compact Groups (Cambridge Tracts in Mathematics)
- 2.8 Kendall's Advanced Theory of Statistics, Classical Inference and the Linear Model
- 2.9 The Basics of Item Response Theory Using R (Statistics for Social and Behavioral Sciences)
- 2.10 A Mathematical Theory of Evidence

- frequency theory of probability
- logical relation theory of probability
- range theories of probability
- subjectivist theories of probability
- propensity theory of probability

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