different between axiom vs finitary
axiom
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)
- (philosophy) A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved.
- (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).
- 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
- axiom
Derived terms
- axiom výb?ru m
Related terms
- axiomatický
- axiomatizovat
- axiomatizace
Swedish
Noun
axiom n
- axiom
Declension
Related terms
- axiomatisk
axiom From the web:
- what axiom means
- what axiom of equality applies to this statement
- what does axiom mean
- what is a axiom
- what is an axiom example
finitary
English
Pronunciation
- (UK) IPA(key): /?f?n?t(?)?i/
- (US) IPA(key): /?f?n?t??i/
Adjective
finitary (not comparable)
- (mathematics) Of a function, taking a finite number of arguments to produce an output.
- (logic) Pertaining to finite-length proofs, each using a finite set of axioms.
Antonyms
- infinitary
See also
- arity
finitary From the web:
- what is finitary argument
- what does finitary mean
- what does finitary
- what is a finitary operation
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