Cantor then rigorously proved using his famous “diagonalization proof by contradiction” that whereas our numbering system on the left a1, a2, a3, ….. belongs to the set א0, the set of numbers on the right will always have more members and is a Higher set. This set is continuous and Cantor called it the “indenumerable infinite” which he named א1 (Aleph-one).
A corollary to this is also very interesting – Cantor proved that the set of fractions like 1/2, 1/3,1/4, 1/5 …… 2/3, 2/5, 2/7, ….. 3/4, 3/5, 3/7 ……. and so on, also belong to the “countable infinite” set א0 and even though this א0 is removed from א1 this “indenumerable infinite” set is not diminished. That is א1 – א0 = א1 however many times we perform this subtraction. Every continuous line segment whether big or small, irrespective of size will have א1 points.
No wonder on the title page of his Chapter “Who is the I?” Mishraji gives the Shānti Pāṭḥ :-
“Om poornan adah poornam idam, poornāt poornam udachyate, poornasya poornamādāya, poornam ewaawshishyate.”