Who told you that abstractions aren't realities???? That is YOUR error. Materialism is a big mista. ke. 3x2=6 is an abstraction and a reaity, both. Saying I have three plants with two flowers each, meaning six flowers in all, is merely an application of 3x2=6. It is not the equation in its pure form.
You are merging different disciplines of maths to suite your own belief. I see the same tactic in reverse with your subdivisions of atheism claim. Not my problem if you dont understand them.
Applied maths deals with physical reality
Pure maths deals with abstract concepts.