Point (geometry)

In classical Euclidean geometry, a point is a primitive notion that models an exact location in the space, and has no length, width, or thickness.[1] In modern mathematics, a point refers more generally to an element of some set called a space.

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; for example, "there is exactly one line that passes through two different points".