Which infinity is bigger? Under alternative mathematical rules, a 2D map emerges

Summary
It is one of the great questions of mathematics: What does "infinity" actually mean? Which infinities are larger than others? Can infinities be arranged in a sequence, like the rungs of an endless ladder, so that for any two of them we can always say which one lies above the other?
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Which infinity is bigger? Under alternative mathematical rules, a 2D map emerges
It is one of the great questions of mathematics: What does "infinity" actually mean? Which infinities are larger than others? Can infinities be arranged in a sequence, like the rungs of an endless ladder, so that for any two of them we can always say which one lies above the other?
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