The generality of the zero-one laws
arXiv:0803.3679
Abstract
We prove game-theoretic generalizations of some well known zero-one laws. Our proofs make the martingales behind the laws explicit, and our results illustrate how martingale arguments can have implications going beyond measure-theoretic probability.
13 pages; the journal version is to appear in the Annals of the Institute of Statistical Mathematics, http://www.ism.ac.jp/editsec/aism-e.html