 First, some particular outcome might have infinite utility or infinite disutility. For example, Pascal’s Wager is motivated by the idea that eternal life with God has infinite value, so one should “wager for God” as long as one assigns some non-zero probability to God’s existence (Pascal 1670). If a particular outcome has infinite (dis)value, then the Continuity Axiom or the Archimedean Axiom will not hold. (See discussions in Hacking 1972 and Hájek 2003, and a related issue for utilitarianism in Vallentyne 1993, Vallentyne &amp; Kagan 1997, and Bostrom 2011.)