this post was submitted on 27 May 2024
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But maximums are only guaranteed to be represented by a unique element in in total orderings.
Edit: also, infinite sets might not necessarily contain an element of their maximum value.
There are demonstrably not infinite humans alive at the same time though.
Okay, so Earth exists. This means for a set volume of space (say about the size of the solar system) there is some positive probability that it contains a planet that is indistinguishable from earth. Let's assume the universe is infinite. If we can search an arbitrary volume instantly, our probability for finding a duplicate of earth approaches 1 as our volume increases. This means the probability we will never find a duplicate of earth is exactly 0, which means that we will find a duplicate upon searching a finite volume. Since in our hypothetical the search is instant, we can perform this search again, locating a second duplicate of earth. Following this process, we can locate an arbitrary number of perfect earth duplicates in a finite ammount of time. This means that if Earth arose from natural processes in an infinite universe, there are infinitely many exact duplicates of earth with life that includes specimens genetically identical to humans.
This implies that there is no one gayest person in the universe.
Eh.
You're starting from the assumption that the universe is infinite, and conclude that there is no maximum because the universe is infinite.
Sorry for being this blunt, but that's intellectually boring.
Most of the entertainment comes from the non-obvious corollaries of the intermediate results. For example, every person has infinitely many perfect yet distinct copies that are identical right down to personal histories.
There's more, if you care to take the time to think about them. I was just using the conversation as an excuse to expose more people to the implication.