Point (mathematics)

In modern mathematics, a point refers usually to an element of some set called a space.

Description

More specifically, in Euclidean geometry, a point is a primitive notion upon which the geometry is built.

Being a primitive notion means that a point cannot be defined in terms of previously defined objects.

That is, a point is defined only by some properties, called axioms, that it must satisfy.

In particular, the geometric points do not have any length, area, volume, or any other dimensional attribute.

A common interpretation is that the concept of a point is meant to capture the notion of a unique location in Euclidean space.