closed bracket.
what should be said.
Definition: Nonaxiomatically, a concept or idea that is not logically inferred or established by any known fact or evidence. Nonaxiomatic refers to something that cannot be proven or disproven with certainty based on existing knowledge and evidence.
Definition: Non-axiomatic mathematics is a type of mathematical system that does not rely on axioms or postulates to define its foundations. Instead, it relies on formal definitions and logical reasoning to determine properties of mathematical objects without relying on explicit axioms. In other words, in non-axiomatic systems, all mathematical operations are defined by the rules of logic rather than by explicit axioms. This means that there is no set of universally accepted axioms for mathematics, but instead a system of