The supertask of an infinite lottery
Probability
2017-02-02 v1
Abstract
We mathematically model the supertask, introduced by Hansen, in which an infinity of gods together select a random natural number by each randomly removing a finite number of balls from an urn, leaving one final ball. We show that this supertask is highly underdetermined, i.e. there are many scenarios consistent with the supertask. In particular we show that the notion of uniformity for finitely additive probability measures on the natural numbers emerging from this supertask is unreasonably weak.
Keywords
Cite
@article{arxiv.1511.08182,
title = {The supertask of an infinite lottery},
author = {Timber Kerkvliet},
journal= {arXiv preprint arXiv:1511.08182},
year = {2017}
}
Comments
Accepted for publication in Logique & Analyse (http://www.logiqueetanalyse.be/)