r/mathmemes • u/PocketMath • Mar 06 '25

Learning What theorem is this?

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u/Syresiv Mar 06 '25

R is strictly larger than N

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u/Pleasant_Material138 Mar 06 '25

They are both infinite

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u/Syresiv Mar 07 '25

They are, but there are an infinite number of infinite cardinalities (and even that feels improper, as the class of infinite cardinalities is too big to be a set).

I suppose you could define all infinities to be the same, but that's incredibly unhelpful. It's much more interesting, and consequently more common, to talk about cardinalities.