Online Dictionary

axiom Explained

axiom at CMU American English spelling Of Explained:

['æksıəm]

axiom at English => English (English Etymology) Of Explained:

1485, from M.Fr. axiome, from L. axioma, from Gk. axioma "authority," lit. "that which is thought worthy or fit," from axioun "to think worthy," from axios "worthy, worth, of like value, weighing as much," from PIE adj. *ag-ty-o- "weighty," from base *ag- "to drive, draw, move" (cf. Gk. agein "weigh, pull"). ///

axiom at English => English (Longman) Of Explained:

n [C] [Date: 1400-1500; Language: Latin; Origin: axioma, from Greek, 'honor', from axios 'worth, worthy']// formal a rule or principle that is generally considered to be true//

axiom at German => English Of Explained:

axiom

axiom at German => English Of Explained:

axiom (M)

axiom at German => English Of Explained:

axiom

axiom at Swedish => English Of Explained:

servi

axiom at Swedish => english Of Explained:

axiom, axioms

axiom at English => English (The Britannica Concise) Of Explained:

In mathematics or logic, an unprovable rule or first principle accepted as true because it is self-evident or particularly useful (e.g., "Nothing can both be and not be at the same time and in the same respect"). The term is often used interchangeably with postulate, though the latter term is sometimes reserved for mathematical applications (such as the postulates of Euclidean geometry). It should be contrasted with a theorem, which requires a rigorous proof.

axiom at English => English (Moby Thesaurus II) Of Explained:

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

Axiom at German => English Of Explained:

Axiom [aksiːoːm]nsn
axiom

Axiom at English => English (Websters 1913) Of Explained:

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.''

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

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.

axiom at English => English (WordNet) Of Explained:

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

axiom at English (WD) Of Explained:

Inter: also » Axiom

English

Inter: wikipedi » a

Pronunciation

* Inter: a » US Inter: IPA » /ˈæks.i.əm/
  • Inter: audio » en-us-axiom.ogg|Audio (US)

    Etymology

    From Inter: etyl » frm|en Inter: term » axiome|lang=frm, from Inter: etyl » grc|en Inter: term » lang=grc|ἀξίωμα|tr=aksiōma||that which is thought to fit, a requisite, that which a pupil is required to know beforehand, a self-evident principle, from Inter: term » lang=grc|ἀξίοῦν|tr=aksioun||to think fit or worthy, require, demand, from Inter: term » lang=grc|ἄξιος|tr=aksios||worthy, fit|lit=weighing as much as, of like value, from Inter: term » lang=grc|ἄγω|tr=agō||I drive.

    Noun

    Inter: en-noun » s

  • Inter: philosoph » y A seemingly Inter: l » en|self-evident or necessary Inter: l » en|truth which is based on Inter: l » en|assumption; a Inter: l » en|principle or Inter: l » en|proposition which cannot actually be proved or disproved.
    1. Inter: quote-book » year=1999|author=Bertrand Russell, Charles R. Pigden|title=Russell on Ethics|url=http://books.google.com/books?id=tUYuscG_41AC|passage=Can we then find axioms as self-evident as those of Arithmetic, on which we can build as on a sure foundation, which could be shaken only by a scepticism which should attack the whole fabric of our knowledge?
    2. Inter: mathematics » logic|{{w|proof theory}} A fundamental Inter: l » en|theorem that serves as a basis for Inter: l » en|deduction of other theorems. Examples: "Through a pair of distinct points there passes exactly one straight line", "All right angles are congruent".
    3. An established principle in some artistic practice or science that is universally received.


    :: The axioms of political economy cannot be considered absolute truths.

    Synonyms

    * Inter: sense » in philosophy, mathematics Inter: l » en|axioma Inter: qualifier » now rare

    Hypernyms

    * Inter: sense » in logic well-formed formula, wff, WFF

    Hyponyms

    * Inter: sense » in mathematics Inter: l » en|axiom of choice
    • Inter: sense » in mathematics Inter: l » en|completeness axiom
    • Inter: sense » in mathematics Inter: l » en|parallel axiom

      Holonyms

      * Inter: sense » in logic formal system

      Derived terms

      * Inter: l » en|axiomatic

      Related terms

      * axiomatize
    • axiomatization

      See also

      Inter: rel-top » other terms of interest
    • conjecture
    • corollary
    • demonstration
    • hypothesis
    • law
    • lemma
    • porism


    Inter: rel-mi » d
  • postulate
  • premise
  • principle
  • proof
  • proposition
  • theorem
  • theory
  • truism

  • Inter: rel-botto » m

    Translations

    Inter: trans-top » philosophy: supposed self‐evident or necessary truth
    • Arabic: Inter: t- » ar|بديهية|f|tr=badihíyya
    • Armenian: Inter: t- » hy|աքսիոմ|tr=ak'siom
    • Bulgarian: Inter: t+ » bg|аксиома|f|tr=aksióma
    • Catalan: Inter: t- » ca|axioma|m
    • Chinese:
    • : Mandarin: Inter: t » cmn|公理|tr=gōnglǐ|sc=Hani
    • Dutch: Inter: t+ » nl|axioma|n
    • Esperanto: Inter: t+ » eo|aksiomo
    • Finnish: Inter: t- » fi|perusväite, Inter: t- » fi|aksiomi
    • French: Inter: t+ » fr|axiome|m
    • German: Inter: t+ » de|Axiom|n
    • Greek: Inter: t+ » el|αξίωμα|tr=aksíoma|n
    • Italian: Inter: t+ » it|assioma|m
    • Japanese: Inter: t- » ja|公理|tr=こうり, kōri


    Inter: trans-mi » d
  • Korean: Inter: t+ » ko|공리|tr=gongni|sc=Hang (Inter: t+ » ko|公理|sc=Hani)
  • Novial: Inter: tø » nov|axiome
  • Polish: Inter: t+ » pl|aksjomat|m
  • Portuguese: Inter: t+ » pt|axioma|m
  • Russian: Inter: t+ » ru|аксиома|f|tr=aksióma
  • Serbo-Croatian:
  • : Cyrillic: Inter: t- » sh|аксиом|m|alt=аксѝо̄м
  • : Roman: Inter: t- » sh|aksiom|m|alt=aksìōm
  • Slovak: Inter: t- » sk|axióma|f
  • Slovene: Inter: t+ » sl|aksiom|m
  • Spanish: Inter: t+ » es|axioma|m
  • Swedish: Inter: t+ » sv|axiom|n
  • Vietnamese: Inter: t+ » vi|chân lý, Inter: t+ » vi|sự thật
  • Volapük: Inter: t+ » vo|xiom

  • Inter: trans-botto » m
    Inter: trans-top » mathematics: fundamental theorem
    • Armenian: Inter: t- » hy|աքսիոմ|tr=ak'siom
    • Catalan: Inter: t- » ca|axioma|m
    • Chinese:
    • : Mandarin: Inter: t » cmn|公理|tr=gōnglǐ|sc=Hani
    • Czech: Inter: t+ » cs|axiom|m
    • Finnish: Inter: t- » fi|aksiomi, Inter: t- » fi|peruslause
    • French: Inter: t+ » fr|axiome|m
    • German: Inter: t+ » de|Axiom|n
    • Greek: Inter: t+ » el|αξίωμα|tr=aksíoma|n
    • : Ancient Greek: Inter: tø » grc|ἀξίωμα|tr=axíōma|n
    • Hungarian: Inter: t+ » hu|axióma
    • Icelandic: Inter: t- » is|frumsenda|f, Inter: t- » is|frumsetning|f
    • Ido: Inter: t+ » io|axiomo
    • Italian: Inter: t+ » it|assioma|m


    Inter: trans-mi » d
  • Japanese: Inter: t- » ja|公理|tr=こうり, kōri
  • Latin: Inter: t- » la|axioma|n|alt=axiōma
  • Middle English: Inter: tø » enm|axiom
  • Middle French: Inter: tø » frm|axiome
  • Novial: Inter: tø » nov|axiome
  • Old French: Inter: tø » fro|axiome
  • Portuguese: Inter: t+ » pt|axioma|m
  • Russian: Inter: t+ » ru|аксиома|f|tr=aksióma
  • Serbo-Croatian:
  • : Cyrillic: Inter: t- » sh|аксиом|m|alt=аксѝо̄м
  • : Roman: Inter: t- » sh|aksiom|m|alt=aksìōm
  • Slovene: Inter: t+ » sl|aksiom|m
  • Spanish: Inter: t+ » es|axioma|m
  • Swedish: Inter: t+ » sv|axiom|n

  • Inter: trans-botto » m
    Inter: trans-top » established principle in art or science
    • Catalan: Inter: t- » ca|axioma|m
    • Finnish: Inter: t- » fi|perusväittämä
    • Portuguese: Inter: t+ » pt|axioma|m
    • Serbo-Croatian:
    • : Cyrillic: Inter: t- » sh|аксиом|m|alt=аксѝо̄м
    • : Roman: Inter: t- » sh|aksiom|m|alt=aksìōm


    Inter: trans-mi » d
  • Spanish: Inter: t+ » es|axioma|m
  • Swedish: Inter: t+ » sv|axiom|n

  • Inter: trans-botto » m

    External links

    * Inter: R:Webster 191 » 3
    • Inter: R:Century 191 » 1


    Czech

    Noun

    Inter: cs-noun » g=m
  • Inter: l » en|axiom

    Derived terms

    * axiom výběru {{m}}

    Related terms

    * axiomatický
    • axiomatizovat
    • axiomatizace


    Category: Category:cs:Logic -
    Category: Category:cs:Mathematics -

    Swedish

    Noun

    Inter: sv-noun » g=n
  • Inter: l » en|axiom

    Declension

    Inter: sv-noun-n-zer » o

    Related terms

    * axiomatisk

  • Translation: ar » axiom
    Category: zh-min-nan:axiom -
    Translation: cs » axiom
    Translation: et » axiom
    Translation: el » axiom
    Translation: eo » axiom
    Translation: fa » axiom
    Translation: fr » axiom
    Translation: ko » axiom
    Translation: io » axiom
    Translation: ku » axiom
    Translation: hu » axiom
    Translation: mg » axiom
    Translation: ml » axiom
    Translation: my » axiom
    Translation: no » axiom
    Translation: ps » axiom
    Translation: pl » axiom
    Translation: pt » axiom
    Translation: ru » axiom
    Translation: fi » axiom
    Translation: sv » axiom
    Translation: ta » axiom
    Translation: te » axiom
    Translation: th » axiom
    Translation: tr » axiom
    Translation: vi » axiom
    Translation: zh » axiom

    Axiom at English (WD) Of Explained:

    Inter: also » axiom

    German

    Inter: wikipedia » lang=de

    Noun

    Inter: de-noun » n|Axioms|Axiome
  • Inter: mathematics » philosophy|lang=de axiom

  • Translation: de » Axiom
    Translation: fr » Axiom
    Translation: ko » Axiom
    Translation: io » Axiom
    Translation: hu » Axiom
    Translation: mg » Axiom
    Translation: pl » Axiom
    Translation: ru » Axiom
    Translation: sv » Axiom
    Translation: zh » Axiom