Here is the abstract of Bostrom's "Infinitarian Challenge to
Aggregative Ethics"

Aggregative consequentialism and several other popular moral theories
are threatened with paralysis: when coupled with some plausible
assumptions, they seem to imply that it is always ethically
indifferent what you do. Modern cosmology teaches that the world might
well contain an infinite number of happy and sad people and other
candidate value‐bearing locations. Aggregative ethics implies that
such a world contains an infinite amount of positive value and an
infinite amount of negative value. You can affect only a finite amount
of good or bad. In standard cardinal arithmetic, an infinite quantity
is unchanged by the addition or subtraction of any finite quantity. So
it appears you cannot change the value of the world. Modifications of
aggregationism aimed at resolving the paralysis are only partially
effective and cause severe side effects, including problems of
“fanaticism”, “distortion”, and erosion of the intuitions that
originally motivated the theory. Is the infinitarian challenge fatal?


Bostrom's argument seems pretty solid to me. But I am not a
mathematician. What do you guys think?

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