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aleph_2 in geometry?
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It hit me that even if you go to 4 dimensions, all geometric shapes would still only be able to have aleph_1 points at most. And even more dimensions would still be the same, since it's just finite number of copies of the reals.

To get aleph_2 you need the power set of aleph_1. Has there been any geometric interpretation of aleph_2? I mean like shapes, in some sense.

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2 months ago