The essential logical characteristics of this relation from which all the properties of space spring are expressed by mathematicians in the axioms of geometry.

From these axioms[3] as framed by modern mathematicians the whole science of geometry can be deduced by the strictest logical reasoning.

The details of these axioms do not now concern us.

The points and the relations are jointly known to us in our apprehension of space, each implying the other.

What happens in space, occupies space.