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Bertrand paradox (probability)
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{{Short description|Probability theory paradox}} {{For|other paradoxes by Joseph Bertrand|Bertrand's paradox (disambiguation)}} The '''Bertrand paradox''' is a problem within the [[classical interpretation]] of [[probability theory]]. [[Joseph Louis François Bertrand|Joseph Bertrand]] introduced it in his work ''Calcul des probabilités'' (1889)<ref>[[Joseph Bertrand|Bertrand, Joseph]] (1889), "[http://gallica.bnf.fr/ark:/12148/bpt6k99602b/f64.image Calcul des probabilités]", ''Gauthier-Villars'', p. 5-6.</ref> as an example to show that the [[principle of indifference]] may not produce definite, well-defined results for probabilities if it is applied uncritically when the [[Possibility space|domain of possibilities]] is infinite.<ref name="Shackel">{{Citation |last=Shackel |first=N. |title=Bertrand's Paradox and the Principle of Indifference |url=http://orca.cf.ac.uk/3803/1/Shackel%20Bertrand%27s%20paradox%205.pdf |journal=[[Philosophy of Science (journal)|Philosophy of Science]] |volume=74 |issue=2 |pages=150–175 |year=2007 |doi=10.1086/519028 |s2cid=15760612}}</ref>
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