A treatise on probability /
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | Inglés |
| Veröffentlicht: |
New York :
Harper Torchbooks,
1962.
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| Schriftenreihe: | The science library
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| Schlagworte: |
Inhaltsangabe:
- 1. The meaning of probability.
- 2. Probability in relation to the theory of knowledge.
- 3. The measurement of probabilities.
- 4. The principle of indifference.
- 5. Other methods' of determining probabilities.
- 6. The weight of arguments.
- 7. Historical retrospect.
- 8. The frequency theory of probability.
- 9. The constructive theory of part I. summarized.
- 10. Introductory.
- 11. The theory of groups, with special reference to logical consistence, inference and logical priority.
- 12. The definitions and axioms of inference and probability.
- 13. The fundamental theorems of necessary inference.
- 14. The fundamental theorems of probable inference.
- 15. Numerical measurement and approximation of probabilities.
- 16. Observations on the theorems of chapter 14 and their developments, inclundg testimony.
- 17. Some problems in inverse Probability, including Averages.
- 18. Introduction.
- 19. The Nature of Argument by analogy.
- 20. The value of multiplication of instances, or pure induction.
- 21. The nature of inductive argument continued.
- 22. The justification of these methods.
- 23. Some historical notes on induction.
- 24. The meanings of objective chance, and of randomness.
- 25. Some problems arising out of the discussion of chance.
- 26. The application of probability to conduct.
- 27. The nature of statistical inference.
- 28. The law of great numbers.
- 29. The use of a priori probabilities for the prediction of statistical frequency - the theorems of Bernoulli, Poisson, and Tchebycheff.
- 30. The mathematical use of statistical frequencies for the determination of probability a posteriori - the methods of laplace.
- 31. The inversion of Bernoulli´s Theorem.
- 32. The inductive use of statistical frequencies for the determination of probability a posteriori - the Methods of Lexis.
- 33. Outline of a constructive theory.