Axiomatical (Adjective)
Meaning
Of or relating to or derived from axioms; "axiomatic physics"; "the postulational method was applied to geometry"- S.S.Stevens.
Classification
Relational adjectives (pertainyms).
Examples
- Axiomatical methods of proof have become fundamental in the field of mathematics.
- In physics, some fundamental concepts, such as conservation of energy, are regarded as axiomatical and rarely tested directly.
- Many attempts to systematize reasoning were not satisfactory, since the established conclusions depended upon postulates of a subjective character that had an axiomatical value only in special instances.
- Through rigorous observation and formulation of concepts into principles of mathematics we developed what are today the self-evident truths called axiomatical systems of modern logic and of physics.
- Even seemingly established notions have led some historians of mathematics to formulate axiomatical principles underlying ancient mathematical procedures that may be characterized as philosophical or general concepts of the intellectual tools applied by ancient Greeks.