MATH.22:9 - Consequences

The result exposes which generalizations preserve a useful conclusion, which additions buy a new construction, and which changes require a different problem. A small separating structure can prevent repeated attempts to derive a false consequence.

Changing axioms can also open a family of new questions. Which maps preserve the revised structure? Which previous constructions still work? Can a missing operation be supplied by extending the objects? These questions continue the mathematical development and give modeling or methodological work new usable constructions.