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axiomatic system

axiomatic system

Etymology
Compound of axiomatic + system. A system characterized by axioms.
Modifier axiomatic
From axiomatic (q.v.). Pertaining to axioms.
Head system
A set of interrelated elements. From Greek σύστημα (sustēma).
Origin
Modern formation. Mathematical and logical usage.
Meaning
A formal structure based on axioms and inference rules.
Earliest use
Attested in OED, Oxford Reference, Merriam-Webster.
Definition
A formal system consisting of axioms and inference rules. Examples: Euclidean geometry, Peano arithmetic, ZFC set theory.

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