Set theory question. Let say points in a 1D grid will look like this ". . . . ." Points in a 1D, 2D, 3D grid will have cardinality of aleph-0. What about points in aleph-0 dimension grid? Second question: what about each point in the aleph-0 dimension grid is points in an aleph-0 dimension grid (would look like small universes)? I can try to draw a picture for extra clarity if needed.