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.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Infinite Set Unification with Application to Categorial Grammar.Jacek Marciniec - 1997 - Studia Logica 58 (3):339-355.
Philosophy of Probability: Foundations, Epistemology, and Computation.Sylvia Wenmackers - 2011 - Dissertation, University of Groningen
A Generalised Lottery Paradox for Infinite Probability Spaces.Martin Smith - 2010 - British Journal for the Philosophy of Science 61 (4):821-831.
A New Applied Approach for Executing Computations with Infinite and Infinitesimal Quantities.Yaroslav D. Sergeyev - 2008 - Informatica 19 (4):567-596.
The Problem of Infinite Matter in Steady-State Cosmology.Richard Schlegel - 1965 - Philosophy of Science 32 (1):21-31.
Added to index2009-01-28
Total downloads53 ( #97,516 of 2,158,673 )
Recent downloads (6 months)1 ( #354,589 of 2,158,673 )
How can I increase my downloads?