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230911 ||| eng |
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|a 9783031365065
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|a Niall, Keith K.
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|a Johannes von Kries: Principles of the Probability Calculus
|h Elektronische Ressource
|b A Logical Investigation
|c by Keith K. Niall
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| 250 |
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|a 1st ed. 2023
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2023, 2023
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| 300 |
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|a XXXIII, 250 p. 1 illus
|b online resource
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| 505 |
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|a 1. The Meaning of Probability Statements -- 2. The Establishment of Equally Warranted Premises -- 3. The Theory of Games of Chance -- 4. The Special Theory of Probability -- 5. Varieties of Numeric Probability -- 6. Establishing and Justifying Statements about Probability -- 7. On the Significance of the Range Principle, and the Probability Calculus -- 8. Application of the Probability Calculus in Theoretical Physics -- 9. More Applications of the Probability Calculus -- 10. On the History of Probability Theory -- 11. On the Theory of Probability -- 12. Conventions of Measurement in Psychophysics
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| 653 |
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|a Logic
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| 653 |
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|a Science / Philosophy
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| 653 |
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|a History of Science
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| 653 |
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|a Science / History
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| 653 |
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|a Philosophy of Science
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| 041 |
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|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
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|a Studies in History and Philosophy of Science
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| 028 |
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|a 10.1007/978-3-031-36506-5
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| 856 |
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|u https://doi.org/10.1007/978-3-031-36506-5?nosfx=y
|x Verlag
|3 Volltext
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|a 509
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|a This book provides an English translation of the work Principles of the Probability Calculus published in 1886 by Johannes von Kries, which discusses the range theory of probability. It offers a novel account of the foundations of probability, an account which was familiar to Keynes, Kneale, Weber, Reichenbach, and von Mises. This account dispenses with the principle of indifference in probability, and it introduces the method of arbitrary functions. Confusions in the history of probability are pinpointed, and a novel theory is developed in which probability is neither entirely subjective nor objective. The book develops what is known as the range theory or Spielraum theory in detail, in a narrative way using few formulas. Von Kries applies range theory to Boltzmann’s theory of the statistical behaviour of gases, and to several applications in medical statistics. Many uses of probability are found wanting; very often they are found not to admit any expression of probability in numbers at all. The book will be of first interest to philosophers of science and historians interested in the foundations of probability. It is also of general interest to anyone who applies statistics everyday in such fields as econometrics, psychology, or medicine
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