What is left which cannot be removed?
the fact that there must be only One of them.
An infinite number of concepts are therefore forced out of nothing.
This introduces a principle of "Difference Congruency" (meaning: two concepts which cannot be separated by any logical mechanism whatsoever but which are nevertheless different -----like the front and back of a door).
See Logic #3
cannot be divorced from
One ... (something, a quantity).
'One' does not presuppose 'zero' or vice versa. They are discernibly different (there are two concepts) but they are also congruent, (neither is logically anterior or posterior to the other).
Thus, the bare concepts of quantity and quality cannot be removed from existence by any logical mechanism (without replacing them with more parts of which any hypothetical logical mechanism might be composed), i.e. the most basic division of existence is non-removable and constitutes it's "minimal set". The name of the set is "concept" and it contains two members (quantity, quality). Or ... the minimal folder is "concept" and it contains two files.