 Among the many objections that have been levelled at Pascal’s Wager, several focus on the role that ‘\(\infty\)’ plays in the argument. Can utilities be infinite? There is a considerable literature that considers possible extensions of our decision rule, and possible modifications to the framework within which the decision problem is framed. However, to date, there is no widely accepted alternative formulation of Pascal’s Wager that avoids all these difficulties that focus on the role that ‘\(\infty\)’ plays in the argument. And once infinite utilities are countenanced, it seems that we should be open to infinitesimal probabilities also. But then there is the prospect that when an infinite utility and an infinitesimal probability are multiplied in the expected utility formula, the product may be a finite number. Will wagering for God still maximize expected utility? These issues and more are discussed in the entry on  Pascal’s wager. 