axioms they are unquestionable truths universally valid, often used as principles in the construction of a theory or as a basis for an argumentation.
The word axiom derives from the Greek axios, whose meaning is worthy or valid. In many contexts, axiom is synonymous with postulate, law or principle.
Read more about the meaning of postulate.
An axiomatic system is the set of axioms that define a given theory and that constitute the simplest truths from which the new results of that theory are demonstrated.
Axiomatic systems play a prominent role in exact sciences, namely in Mathematics and Physics, the results being demonstrated in the multiple theories of these sciences usually referred to as theorems or laws. Among the various axiomatics of Mathematics and Physics, the Euclid Principles in Classical Geometry have gained notoriety. Peano's Axioms in Arithmetic, Newton's Laws in Classical Mechanics and Einstein's Postulates in the Theory of Relativity.
Axiomatic systems exist in many other sciences. For example, in Communication Theory, Paul Watzlawick et al. presented the communication axioms, which define the behavioral effects of human communication.