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An Outcome of the de Finetti Infinite Lottery is Not Finite

Burock, Marc (2006) An Outcome of the de Finetti Infinite Lottery is Not Finite. [Preprint]

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Abstract

A randomly selected number from the infinite set of positive integers—the so-called de Finetti lottery—will not be a finite number. I argue that it is still possible to conceive of an infinite lottery, but that an individual lottery outcome is knowledge about set-membership and not element identification. Unexpectedly, it appears that a uniform distribution over a countably infinite set has much in common with a continuous probability density over an uncountably infinite set.


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Item Type: Preprint
Creators:
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Burock, Marc
Keywords: Probability, de Finetti Lottery, Indifference
Subjects: Specific Sciences > Probability/Statistics
Depositing User: Marc Burock
Date Deposited: 30 Jan 2006
Last Modified: 07 Oct 2010 15:13
Item ID: 2605
URI: http://philsci-archive.pitt.edu/id/eprint/2605

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