this post was submitted on 13 Aug 2023
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Can't infinities be different sizes, though?
@FfaerieOxide
@readbeanicecream @exscape
Thank you for linking that! I knew I had read that they could be, but I couldn't recall where. It might not have been Scientific American, but that'll do XD
While clearly they can be, infinity == infinity is still true, If I recall.
Also, I've got some simple problems with that crate analogy, Scientific American or not; any crate with an infinite number of anything inside it cannot be emptied, it's in the very definition of infinite. Consequently, neither crate will ever empty and the pairing will be an infinite pairing of apples and oranges.