公理

Translation

self-evident truth / postulate / fundamental principle

Meaning

A statement or proposition that is regarded as being established, accepted, or self-evidently true without needing further proof.

Examples

• The entire legal system rests on the axiom that all individuals are equal before the law.
  法制度全体は、すべての個人が法の下で平等であるという公理に基づいている。
• Mathematical proofs often begin by defining a set of basic axioms from which all other theorems are derived.
  数学の証明は、そこから他のすべての定理が導き出される一連の基本的な公理を定義することから始まることが多い。