公理

gōnglǐ
noun #33,577

Meanings

  1. 1 self-evident truth
  2. 2 (mathematics/logic) axiom
  3. 3 universally accepted principle

Examples

Ōujǐlǐdé jǐhé jiànlì zài wǔ tiáo gōnglǐ zhī shàng.
Euclidean geometry is built on five axioms.
Gōngdào zì zài rénxīn, gōnglǐ zì yǒu gōnglùn.
Justice lives in people's hearts; truth has its own public verdict.

Tips

usage
Two registers: in math/logic, 公理 is the precise term for 'axiom' (an unproven starting principle, e.g. 平行公理 'parallel postulate'). In everyday speech, 公理 means 'common-sense truth / universally accepted right' — often paired with 公道 (gōngdào, 'justice'). Distinguish from 定理 (dìnglǐ, 'theorem' — something proven from axioms).

Stroke Order

gōng