axiom

Definition from Wiktionary, a free dictionary

Contents 1 English 1.1 Pronunciation 1.2 Etymology 1.3 Noun 1.3.1 Usage notes 1.3.2 Derived terms 1.3.3 Related terms 1.3.4 See also 1.3.5 Translations 1.3.6 External links 2 Czech 2.1 Noun 2.1.1 Derived terms 2.1.2 Related terms 3 Swedish 3.1 Noun

[edit] English

Wikipedia

[edit] Pronunciation

• (US) IPA: /ˈæks.i.əm/
•  Audio (US)^{help, file}

[edit] Etymology

From Middle French axiome < Ancient Greek ἀξίωμα (aksiōma), “‘that which is thought to fit, a requisite, that which a pupil is required to know beforehand, a self-evident principle’”) < ἀξίοῦν (aksioun), “‘to think fit or worthy, require, demand’”) < ἄξιος (aksios), “‘worthy, fit, lit. weighing as much as, of like value’”) < ἄγω (agō), “‘I drive’”).

[edit] Noun

axiom (plural axioms or axiomata)

1. (philosophy) A self-evident and necessary truth; a proposition which it is necessary to take for granted; a proposition whose truth is so evident that no reasoning or demonstration can make it plainer.
   • 1999, Bertrand Russell, Charles R. Pigden, Russell on Ethics^[1]:

     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. (mathematics) A fundamental theorem that serves as a basis for deduction of other theorems. E.g., "A point has no mass; a line has no width. A plane is a flat surface with no mass and contains an infinity of points and lines".
3. An established principle in some art or science that is universally received.

The axioms of political economy cannot be considered absolute truths.

[edit] Usage notes

An alternative plural form axiomata is very rare usage in English.

[edit] Derived terms

• axiomatic
• axiom of choice
• parallel axiom
• axiom of logic

[edit] Related terms

• axiomatize
• axiomatization

[edit] See also

[edit] Translations

[edit] External links

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

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[edit] Czech

[edit] Noun

axiom m.

1. axiom

[edit] Derived terms

• axiom výběru m.

[edit] Related terms

• axiomatický
• axiomatizovat
• axiomatizace

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[edit] Swedish

[edit] Noun

Inflection for axiom	Singular		Plural
neuter	Indefinite	Definite	Indefinite	Definite
Base form	axiom	axiomet	axiom	axiomen
Possessive form	axioms	axiomets	axioms	axiomens

axiom n.

1. axiom