Number Magic

Question :
What is a 'Transfinite Cardinal Number' ?

Answer :
A cardinal number of an infinite set is called a Transfinite Cardinal Number.
The term transfinite was coined by Georg Cantor, who tried to avoid some of the implications of the word infinite in connection with some objects, which were nevertheless not finite.
The set of all points on a line and the set of all points on any segment of a line are also designated by the transfinite cardinal number c.
An even larger transfinite number is 2c, which designates the set of all subsets of the real numbers, i.e., the set of all {0,1}-valued functions whose domain is the real numbers.