Modern mathematics treats "space" quite differently compared to classical mathematics.

A "geometric body" of classical mathematics is much more regular than just a set of points.

In classical mathematics, a set is inhabited if and only if it is not the empty set.

In classical mathematics, characteristic functions of sets only take values 1 (members) or 0 (non-members).

Again, this is classically equivalent to the full least upper bound principle, since every set is located in classical mathematics.

He notes that in Greek classical mathematics that there are only integers and no real concepts of limits or infinity.

"Very possibly classical mathematics will cease to exist as an independent discipline" (Bishop, 1970, p. 54)

However it may also refer to mathematical analysis done according to the principles of classical mathematics.

However, the book was written in the language of classical mathematics.

But asymptotic methods put a claim on being more than a part of classical mathematics.