Is it point or is it continuous line with infinity as an “end”? And there is infinity elements without any point. Or any section of any one of these baselines (and you can have infinite dimension hence many baselines not just x y z, or r/degree etc) can be remap to itself and hence is infinite as well. The point is not the lines, as mapping proved that the points (said the natural no point) is a smaller subset of the real number or the line.
Just not sure about your point.