title>ラッセル英単語・熟語:A-66 ( axiom 自明の理;公理;格言,金言 ) - Bertrand Russell のページ
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axiom (n) [自明の理;公理;格言,金言(maxim)]

* axiomatic (adj.):公理のような;自明の
I had been told that Euclid proved things, and was much disappointed that he started with axioms. At first I refused to accept them unless my brother could offer me some reason for doing so, but he said: 'If you don't accept them we cannot go on', and as I wished to go on, I reluctantly admitted them pro tem (= pro tempore). .

All that I can find to say on this subject is that an ethical opinion can only be defended by an ethical axiom, but, if the axiom is not accepted, there is no way of reaching a rational conclusion.
(松下注:いわゆる emotive theory of value 価値情緒説/ラッセルは倫理の問題はあくまで知識論の対象にならず,論理的に導きだせるものではないと考える。)

The Axiom of Infinity and Logical Types.
 出典:Bertrand Russell: Introduction to Mathematical Philosophy, chap. 13:The Axiom of Infinity and Logical Types(]

A clever mathematician could reason from axioms.
 出典:『新版完全征服データベース5500 合格 英単語・熟語』p.133]

An axiom is a statement or idea which people accept as being true.
[ 出典:Collins COBUILD English Dictionary for Advanced Learners, new ed.]