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[–] 2 points 11 months ago* (1 child)

Yeah, if you use an arbitrary standardized measuring stick, the problem goes away, as it is no longer infinite.

Still a fun thought experiment to demonstrate how unintuitive infinities are!

Anyway, major kudos to you for engaging with this thread in good faith! That is so rare these days, I barely venture to comment anymore. Respect.

... and thank you for the opportunity to share a weird math fact!

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  • [–] 2 points 11 months ago*

    Hmm I've consulted a mathematician that I know, and they say that cardinality isn't really the same as "size", but comparing the two infinite sets of the same cardinality is basically meaningless because infinity is not a "number", even though one set is provably "bigger" than the other set

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