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axiom    音标拼音: ['æksiəm]
n. 自明之理,公理,格言

自明之理,公理,格言

axiom
公理

axiom
n 1: a saying that is widely accepted on its own merits [synonym:
{maxim}, {axiom}]
2: (logic) a proposition that is not susceptible of proof or
disproof; its truth is assumed to be self-evident

Axiom \Ax"i*om\, n. [L. axioma, Gr. ? that which is thought
worthy, that which is assumed, a basis of demonstration, a
principle, fr. ? to think worthy, fr. ? worthy, weighing as
much as; cf. ? to lead, drive, also to weigh so much: cf F.
axiome. See {Agent}, a.]
1. (Logic & Math.) A self-evident and necessary truth, or a
proposition whose truth is so evident as first sight that
no reasoning or demonstration can make it plainer; a
proposition which it is necessary to take for granted; as,
"The whole is greater than a part;" "A thing can not, at
the same time, be and not be."
[1913 Webster]

2. An established principle in some art or science, which,
though not a necessary truth, is universally received; as,
the axioms of political economy.
[1913 Webster]

Syn: {Axiom}, {Maxim}, {Aphorism}, {Adage}.

Usage: An axiom is a self-evident truth which is taken for
granted as the basis of reasoning. A maxim is a
guiding principle sanctioned by experience, and
relating especially to the practical concerns of life.
An aphorism is a short sentence pithily expressing
some valuable and general truth or sentiment. An adage
is a saying of long-established authority and of
universal application.
[1913 Webster] Axiomatic

173 Moby Thesaurus words for "axiom":
a belief, a priori principle, a priori truth, absolute fact,
accepted fact, actual fact, adage, admitted fact, affirmation, ana,
analects, aphorism, apothegm, apriorism, article of faith,
assertion, assumed position, assumption, bald fact, bare fact,
basis, brocard, brutal fact, byword, canon, catchword,
categorical proposition, center, circumstance, cold fact,
collected sayings, conceded fact, conjecture, core, current saying,
data, datum, demonstrable fact, dictate, dictum, distich, doctrine,
dogma, elixir, empirical fact, epigram, essence, essential,
established fact, expression, fact, fact of experience,
first principles, flower, focus, formula, foundation, fundamental,
gist, given fact, gnome, golden rule, golden saying, gravamen,
ground, guesswork, hard fact, heart, hypostasis, hypothesis,
hypothesis ad hoc, indisputable fact, inescapable fact, inference,
inner essence, kernel, law, lemma, major premise, marrow,
matter of fact, maxim, meat, minor premise, moral, mot, motto,
naked fact, not guesswork, not opinion, nub, nucleus,
nuts and bolts, oracle, philosopheme, philosophical proposition,
phrase, pith, pithy saying, plain, position, positive fact,
postulate, postulation, postulatum, precept, premise, prescript,
presumption, presupposal, presupposition, principium, principle,
proposition, propositional function, provable fact, proverb,
proverbial saying, proverbs, quid, quiddity, quintessence, rule,
salient fact, sap, saw, saying, self-evident fact,
self-evident truth, sentence, sententious expression,
set of postulates, settled principle, significant fact,
simple fact, sloka, sober fact, soul, spirit, statement,
stock saying, stubborn fact, stuff, substance, sumption, supposal,
supposing, supposition, surmise, sutra, teaching, tenet, text,
the case, the nitty-gritty, theorem, thesis, truism, truth,
truth table, truth-function, truth-value, undeniable fact,
universal truth, verse, well-known fact, wisdom, wisdom literature,
wise saying, witticism, word, words of wisdom,
working hypothesis


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    An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments The word comes from the Ancient Greek word ἀξίωμα (axíōma), meaning 'that which is thought worthy or fit' or 'that which commends itself as evident' [1][2]
  • AXIOM中文 (简体)翻译：剑桥词典 - Cambridge Dictionary
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  • AXIOM（英语单词）_百度百科
    AXIOM是英语中的名词，音标为英 [ˈæksiəm] 美 [ˈæksiəm]，复数形式为axioms，基本含义包括数学中的"公理"、语言学中的"格言"以及哲学中的"自明之理"。 该词在数学逻辑领域具有明确的应用场景，常用于描述无需证明而被普遍接受的基础命题。
  • AXIOM Definition Meaning - Merriam-Webster
    In mathematics or logic, an axiom is an unprovable rule or first principle accepted as true because it is self-evident or particularly useful “Nothing can both be and not be at the same time and in the same respect” is an example of an axiom
  • Axiom | Logic, Mathematics, Philosophy | Britannica
    Axiom, in logic, an indemonstrable first principle, rule, or maxim, that has found general acceptance or is thought worthy of common acceptance whether by virtue of a claim to intrinsic merit or on the basis of an appeal to self-evidence
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  • 公理 - 维基百科，自由的百科全书
    公理 在 傳統邏輯 中， 公理 （古希臘語: ἀξίωμα, 德語 、 英語: Axiom）是沒有經過證明，但被當作 不證自明 的一個命題。 因此，其真實性被視為是理所當然的，且被當做演繹及推論其他（理論相關）事實的起點。





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