# axioms

## axiom

[ak-see-uhm]
noun
1.
a self-evident truth that requires no proof.
2.
a universally accepted principle or rule.
3.
Logic, Mathematics. a proposition that is assumed without proof for the sake of studying the consequences that follow from it.

Origin:
1475–85; < Latin axiōma < Greek: something worthy, equivalent to axiō-, variant stem of axioûn to reckon worthy + -ma resultative noun suffix

1. adage, aphorism, apothegm, axiom, maxim, proverb ; 2. assumption, axiom, premise, presumption.
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World English Dictionary
 axiom (ˈæksɪəm) —n 1. a generally accepted proposition or principle, sanctioned by experience; maxim 2. a universally established principle or law that is not a necessary truth: the axioms of politics 3. a self-evident statement 4. logic, maths Compare assumption a statement or formula that is stipulated to be true for the purpose of a chain of reasoning: the foundation of a formal deductive system [C15: from Latin axiōma a principle, from Greek, from axioun to consider worthy, from axios worthy]

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Etymonline
Word Origin & History

axiom
late 15c., 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").
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Science Dictionary
 axiom   (āk'sē-əm)  Pronunciation Key  A principle that is accepted as true without proof. The statement "For every two points P and Q there is a unique line that contains both P and Q" is an axiom because no other information is given about points or lines, and therefore it cannot be proven. Also called postulate.
The American Heritage® Science Dictionary
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American Heritage
Cultural Dictionary
axiom [(ak-see-uhm)]

In mathematics, a statement that is unproved but accepted as a basis for other statements, usually because it seems so obvious.

Note: The term axiomatic is used generally to refer to a statement so obvious that it needs no proof.
The American Heritage® New Dictionary of Cultural Literacy, Third Edition
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Example sentences
One of the oft-repeated axioms in baseball is that when the season starts,
pitchers generally have the upper hand against hitters.
So here's a related big-picture question with a few axioms.
It begins with axioms, or accepted truths, and employs a series of logical
statements to arrive at a conclusion.
We can formulate axioms about information and interconnection, but in the end
these are nothing more than idle speculation.
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