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> The number of persons that have and will ever live is countably infinite

I don't think you can say that their number is infinite. Countable, yes. But there is no rule that new people will keep spawning.

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If you say that humanity will end at some point, then yes, there is only a finite number of people. This, however, does not go against my overall argument. In that case, you end up with a finite number of thoughts. That's even smaller than countable infinite and makes the real numbers even weirder.

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