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
Definition: In mathematics, a nonaxiomatic theory is a mathematical theory that does not satisfy any axioms or postulates. This means that it is based on logical principles and rules of inference but lacks formal axioms for its statements to be true. Some examples of nonaxiomatic theories include: - The theory of recursive functions (also known as the theory of recursion) which states that every computable function has a finite number of arguments. - The theory of definability (also known as the