id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_tvlzrwtnzrdzthpgrpu4gggfca	Z. Gyenis	Defusing Bertrand's Paradox	2014	15	.pdf	application/pdf	10761	833	61	The key idea of the interpretation to be developed here is that the category of probability measure spaces with an infinite set of random events for which a classical interpretation of probability shown that Labeling Invariance does not hold in the category of Haar probability measure spaces This interpretation of Bertrand's Paradox makes it possible to formulate precisely the extra condition on re-labelings that ensures that re-labelings do preserve the probabilities of events; the condition • "Measure theoretic probability" (the triplet (X,S,p)) also describes mathematically the elementary situations where the set of random events is finite. Probabilities understood in the spirit of the elementary classical interpretation based on the Principle of Indifference have the property we call here Labeling Invariance: the probability measure probability measure spaces with a finite number of random events or to re-labelings that preserve the	./cache/work_tvlzrwtnzrdzthpgrpu4gggfca.pdf	./txt/work_tvlzrwtnzrdzthpgrpu4gggfca.txt