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 2^{c}, 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.
