noun a self-evident truth that requires no proof
adjective self-evident or unquestionable
In philosophy, an axiomatic statement is a proposition that is taken to be true without needing to be proven. It is considered a fundamental truth upon which further reasoning is based.
In mathematics, an axiomatic system is a set of axioms from which theorems can be derived. These axioms are assumed to be self-evident and serve as the foundation for mathematical reasoning.
In computer science, axiomatic semantics is a formal method for specifying the behavior of programs by defining a set of axioms that describe the program's properties and how they change during execution.
In writing, the term 'axiomatic' may be used to describe a fundamental principle or assumption that is accepted as true without requiring proof.
Psychologists may use the term 'axiomatic' when discussing foundational beliefs or principles that serve as the basis for psychological theories or frameworks.
Mathematicians use 'axiomatic' to describe a system or theory that is based on a set of self-evident truths or postulates.
In philosophy, 'axiomatic' may refer to a proposition or statement that is taken to be self-evidently true and serves as a starting point for further reasoning.