REDUCTION OF MATHEMATICAL CONCEPTS
integers, rationals, reals, complexes, addition, subtraction, multiplication,
exponentiation, sequence, series, less than, greater than, sets, functions, graphs,
relations, member, semigroups, groups, rings, fields, integral domains, vector
spaces, topological spaces, continuous functions, differentiable functions, analytic
functions, and so forth.
We keep v
We definitely benefit from sharply reducing the mathematical
Experience has shown that the most advantageous reduction is to
SETS WITH THE MEMBERSHIP RELATION.
Alternative reductions have been proposed, but none have
overthrown this classic standard choice of primitive concepts.