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Notes -
Fair point on the chuddiness and the lack of requirement of instantiation. That's a level of postmodernism than even I thought possible.
But for the other point, there's arbitrarily often and there's arbitrarily often. Given the limits of biology, I don't think it's possible for a human to change genders in a literally infinitely small amount of time, and, as such, however often a human were to change their/xir/zir/etc gender in their/xir/zir/etc finite lifespan, it would only sum up to a finite number. As such, all that does is to have another finite number to be multiplied by, which means the result is still finite.
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