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We argue that claims to sacred or protected values are not claims to infinite utility, as people can and do order their preferences for different values they hold sacred.
For suppose that salvation, say, has infinite utility for you.
In short, if God exists, then wagering for God results in infinite utility.
Or it might be thought that, on the contrary, wagering against an existent God results in negative infinite utility.
These sources could even be inanimate — as it might be, supreme pleasure machines, which offer infinite utility irrespective of one's beliefs.
Or perhaps the notion of infinite utility makes sense, but an infinite reward could only be finitely appreciated by a human being.
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(This relies on a sophisticated handling of infinite utilities in terms of utility ratios given in his (2007); see below).
Hájek 1997a argues that it is not, and gives further positive arguments for allowing infinite utilities into decision theory.
Problems such as Pascal's Wager and the St . Petersburgparadox suggest that decision theory needs a means of handling infinite utilities and expected utilities.
The objection, then, is that infinite utilities run afoul of the underpinnings of decision theory (expected utility theory), and thus of the theory itself.
There are also critics of the Wager who, far from objecting to infinite utilities, want to see more of them in the matrix.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com