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Document Details :
Title: The Supertask of an Infinite Lottery
Author(s): KERKVLIET, Timber
Journal: Logique et Analyse
Volume: 236 Date: 2016
We mathematically model the supertask, introduced by Hansen (2014; 2015), 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.