# Category:Definitions/Real Numbers

This category contains definitions related to Real Numbers.
Related results can be found in Category:Real Numbers.

A real number is defined as a number which is identified with a point on the real number line.

#### Real Number Line

From the Cantor-Dedekind Hypothesis, the set of real numbers is isomorphic to any infinite straight line.

The real number line is an arbitrary infinite straight line each of whose points is identified with a real number such that the distance between any two real numbers is consistent with the length of the line between those two points.