noun
axiomatic theory
Technical term in mathematics and logic. Refers to a theory built from a set of axioms. Often contrasted with 公理的方法 (axiomatic method).
See also: 公理的方法
公理論は数学の基礎をなす重要な概念だ。
Axiomatic theory is an important concept that forms the foundation of mathematics.
公理的方法 refers to the axiomatic method, the approach of constructing theories from axioms. 公理論 is the resulting theory itself.
Compound of 公理 (axiom) and 論 (theory, discourse). The exact historical derivation is uncertain; it is a modern technical term likely coined in the context of Western mathematics and logic.