Definition:Zero Dimensional Space/Linguistic Note

Linguistic Note on Zero Dimensional Space
The thinking behind applying the term zero dimensional to the concept of a zero dimensional space arises from the idea of the small inductive dimension in the context of the topological space.

The small inductive dimension of a topological space is defined to be $1$ greater than the small inductive dimension of its boundary.

By Set is Clopen iff Boundary is Empty, a topological space with a basis whose sets are all clopen has no boundary.

Thus it follows that such a topological space is considered to be zero dimensional.