different between axiom vs postulate

English

Etymology

From Middle French axiome in the 15th century, from Latin axi?ma (“axiom; principle”), from Ancient Greek ?????? (axí?ma, “that which is thought to fit, a requisite, that which a pupil is required to know beforehand, a self-evident principle”), from ????? (axió?, “to think fit or worthy, to require, to demand”), from ????? (áxios, “fit, worthy”, literally “weighing as much as; of like value”), from ??? (ág?, “I drive”).

Pronunciation

• (Received Pronunciation) IPA^(key): /?aks.?.?m/
• (General American) enPR: ?k's??m, IPA^(key): /?æks.i.?m/
• Hyphenation: ax?i?om

Noun

axiom (plural axioms or axiomata) (the latter is becoming less common and is sometimes considered archaic)

1. (philosophy) A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved.
2. (logic, mathematics, proof theory) A fundamental assumption that serves as a basis for deduction of theorems; a postulate (sometimes distinguished from postulates as being universally applicable, whereas postulates are particular to a certain science or context).
3. An established principle in some artistic practice or science that is universally received.

Synonyms

• (philosophy, mathematics): axioma (now rare)
• (logic, mathematics): postulate

Hypernyms

• (logic): well-formed formula, wff, WFF

Hyponyms

• (mathematics): axiom of choice, axiom of infinity, axiom of pairing, axiom of power set, axiom of regularity, axiom of union, completeness axiom, parallel axiom

Holonyms

• (logic): formal system

Derived terms

• axiomatic
• axiomatical
• axiomatically
• axiomatise, axiomatize
• axiomatisation, axiomatization

Translations

See also

References

• axiom in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
• axiom in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.

Further reading

• axiom on Wikipedia.Wikipedia

Anagrams

• amoxi

Czech

Noun

axiom m

1. axiom

Derived terms

• axiom výb?ru m

Related terms

• axiomatický
• axiomatizovat
• axiomatizace

Swedish

Noun

axiom n

1. axiom

Declension

Related terms

• axiomatisk

English

Etymology

From Medieval Latin postul?t- (“asked”), from the verb postul?re (“to ask”), from Latin postul? (“request”).

Pronunciation

Noun

• (UK) enPR: p?s?tyo?o-l?t IPA^(key): /?p?stj?l?t/
• (US) enPR: p?s?ch?-l?t, p?s?ch?-l?t', IPA^(key): /?p?st??l?t/, /?p?st???le?t/
• Hyphenation: pos?tu?late

Adjective

• (UK) enPR: p?s?tyo?o-l?t IPA^(key): /?p?stj?l?t/
• (US) enPR: p?s?ch?-l?t, IPA^(key): /?p?st??l?t/
• Hyphenation: pos?tu?late

Verb

• (UK) enPR: p?s?tyo?o-l?t IPA^(key): /?p?stj?le?t/
• (US) enPR: p?s?ch?-l?t' IPA^(key): /?p?st???le?t/
• Hyphenation: pos?tu?late

Noun

postulate (plural postulates)

1. Something assumed without proof as being self-evident or generally accepted, especially when used as a basis for an argument. Sometimes distinguished from axioms as being relevant to a particular science or context, rather than universally true, and following from other axioms rather than being an absolute assumption.
2. A fundamental element; a basic principle.
3. (logic) An axiom.
4. A requirement; a prerequisite.

Derived terms

• parallel postulate
• universal postulate

Translations

Adjective

postulate (not comparable)

1. Postulated.

Verb

postulate (third-person singular simple present postulates, present participle postulating, simple past and past participle postulated)

1. To assume as a truthful or accurate premise or axiom, especially as a basis of an argument.
   • 1883, Benedictus de Spinoza, translated by R. H. M. Elwes, Ethics, Part 3, Prop. XXII,

     But this pleasure or pain is postulated to come to us accompanied by the idea of an external cause; […]

   • 1911, Encyclopædia Britannica, "Infinite",

     [T]he attempt to arrive at a physical explanation of existence led the Ionian thinkers to postulate various primal elements or simply the infinite ?? ???????.

2. (transitive, intransitive, Christianity, historical) To appoint or request one's appointment to an ecclesiastical office.
   • 1874, John Small (ed.), The Poetical Works of Gavin Douglas, Bishop of Dunkeld, Vol 1, p. xvi

     [A]lthough Douglas was postulated to it [the Abbacy of Arbroath], and signed letters and papers under this designation his nomination […] was never completed.

3. (transitive, intransitive, obsolete) To request, demand or claim for oneself.

Derived terms

• postulation
• postulational

Translations

Anagrams

• attopulse

Italian

Verb

postulate

1. second-person plural present indicative of postulare
2. second-person plural imperative of postulare
3. feminine plural of postulato

Latin

Verb

postul?te

1. second-person plural present active imperative of postul?