>>7619190No, that's never true. It doesn't have the same cardinality, and I don't mean a "grid" as in R^3
I don't know about any other way to try to picture it tbh, it's tricky to try.
For example, I see R as a two dimensional grid, that is, a line where every point is an infinite collection of lower cardinality elements (elements in Q).
The grid I'm talking about would be a line where every point is an infinite collection of some sets in R, or something of the like. It's not good to try to apply intuition around here tbh.