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The probability computations are not in the realm of the Bertrand paradox because the method of random selection is well specified by a simple combinatorial formula in which all combinations can be numerically assayed.
“These probability computations are not in the realm of the Bertrand paradox [247], as the method of random selection is very well specified by a simple combinatorial formula, in which all combinations can be numerically assayed.”
From Systems protobiology: origin of life in lipid catalytic networks (2018) · cites this paper as [247]
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No references could be resolved yet.
Research works printed but not linked: 14
- E. T. Jaynes, Prior probabilities,IEEE Trans. Systems Sci. Cybernetics SSC-4 (3), 227?241 (1968). · DOI
- J. Bertrand,Calcul des probabilités (Gauthier-Villars, Paris, 1889), pp. 4?5.
- E. Borel,Éléments de la théorie des probabilités (Hermann et Fils, 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, inMathematical 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). · DOI
- H. Weyl,The Classical Groups (Princeton University Press, Princeton, New Jersey, 1946).
Cited by
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Systems protobiology: origin of life in lipid catalytic networks
Lancet, D., Zidovetzki, R., & Markovitch, O. (2018) · Journal of The Royal Society Interface · doi:10.1098/rsif.2018.0159 · Cited by 182
Metadata
- Authors
- Jaynes, E. T.
- Affiliations
- Washington University in St. Louis (US)
- Corresponding author
- Jaynes, E. T.
- Venue
- Foundations of Physics
- Published
- 1973-12
- Volume
- 3
- Issue
- 4
- Pages
- 477-492
- ISSN
- 0015-9018 (ISSN-L)
- 1572-9516
- OpenAlex
- W1966767328
- Cited by
- 297
- References
- 0
- Citations by year
- 2026: 1 · 2025: 9 · 2024: 6 · 2023: 10 · 2022: 9 · 2021: 6 · 2020: 17 · 2019: 31 · 2018: 10 · 2017: 14 · 2016: 8 · 2015: 9 · 2014: 12 · 2013: 9 · 2012: 9
- FWCI
- 3.46
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Foundations of Physics (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Physical Sciences › Computer Science › Artificial Intelligence › Bayesian Modeling and Causal Inference
- Keywords
- Bertrand paradox, well-posedness, maximum entropy, transformation groups, frequency interpretation of probability, probability distributions
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