different between axiom vs theory
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
theory
English
Etymology
From Middle French théorie, from Late Latin the?ria, from Ancient Greek ?????? (the?ría, “contemplation, speculation, a looking at, things looked at”), from ?????? (the?ré?, “I look at, view, consider, examine”), from ?????? (the?rós, “spectator”), from ??? (théa, “view”) + ???? (horá?, “I see, look”) [i. e. ???? ???? (théan horá?, “see, look at a view; survey + genitive”)].
Pronunciation
- (Received Pronunciation, General Australian) IPA(key): /?????i/, /??i???i/, /????i/
- (General American) IPA(key): /??i???i/, /????i/
- Rhymes: -??ri
Noun
theory (countable and uncountable, plural theories)
- A description of an event or system that is considered to be accurate.
- (obsolete) Mental conception; reflection, consideration. [16th-18th c.]
- 1646, Thomas Browne, Pseudodoxia Epidemica, VII.19:
- As they encrease the hatred of vice in some, so doe they enlarge the theory of wickednesse in all.
- 1646, Thomas Browne, Pseudodoxia Epidemica, VII.19:
- (sciences) A coherent statement or set of ideas that explains observed facts or phenomena and correctly predicts new facts or phenomena not previously observed, or which sets out the laws and principles of something known or observed; a hypothesis confirmed by observation, experiment etc. [from 17th c.]
- 1843, John Stuart Mill, ""A System of Logic, Ratiocinative and Inductive, ..., Bk V, Ch 7:
- In its most proper acceptation, theory means the completed result of philosophical induction from experience.
- 2002, Duncan Steel, The Guardian, 23 May 2002:
- It was only when Einstein's theory of relativity was published in 1915 that physicists could show that Mercury's "anomaly" was actually because Newton's gravitational theory was incomplete.
- 2003, Bill Bryson, A Short History of Nearly Everything, BCA, p. 118:
- The world would need additional decades [...] before the Big Bang would begin to move from interesting idea to established theory.
- 2009, Richard Dawkins, The Greatest Show On Earth: The Evidence for Evolution, Bantam, p. 10:
- Scientists and creationists are understanding the word "theory" in two very different senses. Evolution is a theory in the same sense as the heliocentric theory. In neither case should the word "only" be used, as in "only a theory".
- 1843, John Stuart Mill, ""A System of Logic, Ratiocinative and Inductive, ..., Bk V, Ch 7:
- (uncountable) The underlying principles or methods of a given technical skill, art etc., as opposed to its practice. [from 17th c.]
- (mathematics) A field of study attempting to exhaustively describe a particular class of constructs. [from 18th c.]
- Knot theory classifies the mappings of a circle into 3-space.
- A hypothesis or conjecture. [from 18th c.]
- 2003, Sean Coughlan, The Guardian, 21 Jun 2003:
- The theory is that by stripping costs to the bone, they are able to offer ludicrously low fares.
- 2003, Sean Coughlan, The Guardian, 21 Jun 2003:
- (countable, logic) A set of axioms together with all statements derivable from them; or, a set of statements which are deductively closed. Equivalently, a formal language plus a set of axioms (from which can then be derived theorems). The statements may be required to all be bound (i.e., to have no free variables).
- A theory is consistent if it has a model.
Usage notes
In scientific discourse, the sense “unproven conjecture” is discouraged (with hypothesis or conjecture preferred), due to unintentional ambiguity and intentional equivocation with the sense “well-developed statement or structure”.
Synonyms
- See also Thesaurus:supposition
Hyponyms
Meronyms
- (in logic): axioms
Holonyms
- (in logic): formal system
Related terms
Translations
See also
- axiom
- postulate
- proposition
References
- theory at OneLook Dictionary Search
- theory in Keywords for Today: A 21st Century Vocabulary, edited by The Keywords Project, Colin MacCabe, Holly Yanacek, 2018.
- "theory" in Raymond Williams, Keywords (revised), 1983, Fontana Press, page 316.
- theory in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
Anagrams
- Yother, thyreo-
theory From the web:
- what theory was huygens writing about
- what theory did copernicus propose
- what theory means
- what theory explains color blindness
- what theory is cbt based on
- what theory is motivational interviewing based on
- what theory of government is the us
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