The lack of rigor in your explanation undermines the point you are trying to make. You have definitions in your head that you are not expressing in a meaningful

The lack of rigor in your explanation undermines the point you are trying to make. You have definitions in your head that you are not expressing in a meaningful way. Ungrounded intuition just doesn't help when reasoning about infinity. The non-meaning of "1/infinity" was also discussed recently on HN, if I recall correctly.