I can see that, but this is more like Pascal’s mugging than anything interesting. When the relative uncertainty in probabilities is significantly larger than one, it does not pay to worry about the event. For example, if the mugger threatens you with umptillion gazillion up-arrows in disutility, and you assign her threats 1/​gazillion chance of being credible, with the uncertainty in your estimate of that chance being 1 billion percent, you do what most humans already do naturally: shrug and walk away from something that is clearly somewhere in the noise level. The importance of worrying about the universe being truly infinite is so low, it is one of those noise-level events that is fun to ponder for fun after having a few, but not much more than that.
An arbitrarily small chance of an infinite outcome is sufficient to cause your expected utility to be infinity and cause these kinds of issues.
I can see that, but this is more like Pascal’s mugging than anything interesting. When the relative uncertainty in probabilities is significantly larger than one, it does not pay to worry about the event. For example, if the mugger threatens you with umptillion gazillion up-arrows in disutility, and you assign her threats 1/​gazillion chance of being credible, with the uncertainty in your estimate of that chance being 1 billion percent, you do what most humans already do naturally: shrug and walk away from something that is clearly somewhere in the noise level. The importance of worrying about the universe being truly infinite is so low, it is one of those noise-level events that is fun to ponder for fun after having a few, but not much more than that.