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Webster 1913 Edition


Axiom

Ax′i-om

,
Noun.
[L.
axioma
, Gr.
[GREEK]
that which is thought worthy, that which is assumed, a basis of demonstration, a principle, fr.
[GREEK]
to think worthy, fr.
[GREEK]
worthy, weighing as much as; cf.
[GREEK]
to lead, drive, also to weigh so much: cf F.
axiome
. See
Agent
,
Adj.
]
1.
(Logic & Math.)
A self-evident and necessary truth, or a proposition whose truth is so evident as first sight that no reasoning or demonstration can make it plainer; a proposition which it is necessary to take for granted; as, “The whole is greater than a part;” “A thing can not, at the same time, be and not be.”
2.
An established principle in some art or science, which, though not a necessary truth, is universally received;
as, the
axioms
of political economy
.
Syn. –
Axiom
,
Maxim
,
Aphorism
,
Adage
.
An axiom is a self-evident truth which is taken for granted as the basis of reasoning. A maxim is a guiding principle sanctioned by experience, and relating especially to the practical concerns of life. An aphorism is a short sentence pithily expressing some valuable and general truth or sentiment. An adage is a saying of long-established authority and of universal application.

Webster 1828 Edition


Axiom

AX'IOM

,
Noun.
[Gr. authority, an authoritative sentence, or that which is assumed, from worthy, and to think worthy, to esteem; Eng. to ask, that which is asked, sought or esteemed.]
1.
A self evident truth, or a proposition whose truth is so evident at first sight, that no process of reasoning or demonstration can make it plainer; as, 'the whole is greater than a part.'
2.
An established principle in some art or science; a principle received without new proof; as, 'things which are equal to the same thing, are equal to one another.'