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Webster’s Dictionary (1828)



18 words match “AXIOM”

AXIOM n. 2 definitions
ome art or science, which, though not a necessary truth, is universally received; as, the axioms of political economy.
AXIOMATIC; AXIOMATICAL a.
Of or pertaining to an axiom; having the nature of an axiom; self-evident; characterized by axioms. "Axiomatical truth." Johnson. The stores of axiomatic wisdom. I. Taylor.
AXIOMATICALLY adv.
By the use of axioms; in the form of an axiom.
CLOTH n.
are constituted for administering and for giving the best possible effect to . . . every axiom. I. Taylor. Body cloth. See under Body. -- Cloth of gold, a fabric woven wholly or partially of threads of gold. -- Cloth measure, the measure of length and surface by which cloth is measured and sold. For this object the…
COMPREHENSIBLE a.
luded, or comprised. Lest this part of knowledge should seem to any not comprehensible by axiom, we will set down some heads of it. Bacon.
CONTRADICTION n.
Of contradictions infinite the slave. Wordsworth. Principle of contradiction (Logic), the axiom or law of thought that a thing cannot be and not be at the same time, or a thing must either be or not be, or the same attribute can not at the same time be affirmed and and denied of the same subject. It develops itself in…
DEMONSTRATION n.
sult is a necessary consequence of assumed premises; -- these premises being definitions, axioms, and previously established propositions. Direct, or Positive, demonstration (Logic & Math.), one in which the correct conclusion is the immediate sequence of reasoning from axiomatic or established premises; -- opposed to…
DIGNITY n.
Fundamental principle; axiom; maxim. [Obs.] Sciences concluding from dignities, and principles known by themselves. Sir T. Browne.
EUCLIDIAN n.
id, or to the geometry of Euclid. Euclidian space (Geom.), the kind of space to which the axioms and definitions of Euclid, relative to straight lines and parallel lines, apply; -- called also flat space, and homaloidal space.
EXCLUDE v.
or from eggs. Excluded middle. (logic) The name given to the third of the "three logical axioms," so-called, namely, to that one which is expressed by the formula: "Everything is either A or Not-A." no third state or condition being involved or allowed. See Principle of contradiction, under Contradiction.…
FUNDAMENTAL a.
rinciple, or law; important; original; elementary; as, a fundamental truth; a fundamental axiom. The fundamental reasons of this war. Shak. Some fundamental antithesis in nature. Whewell. Fundamental bass (Mus.), the root note of a chord; a bass formed of the roots or fundamental tones of the chords. -- Fundamental ch…
HOMALOID; HOMALOIDAL a.
rm applied to surfaces and to spaces, whether real or imagined, in which the definitions, axioms, and postulates of Euclid respecting parallel straight lines are assumed to hold true.
LAISSEZ FAIRE n.
Noninterference; -- an axiom of some political economists, deprecating interference of government by attempts to foster or regulate commerce, manufactures, etc., by bounty or by restriction; as, the doctrine of laissez faire; the laissez faire system government.
MAXIM n.
lished principle or proposition; a condensed proposition of important practical truth; an axiom of practical wisdom; an adage; a proverb; an aphorism. 'T is their maxim, Love is love's reward. Dryden.
POSTULATE n.
The enunciation of a self-evident problem, in distinction from an axiom, which is the enunciation of a self-evident theorem. The distinction between a postulate and an axiom lies in this, -- that the latter is admitted to be self-evident, while the former may be agreed upon between two reasoners, and admitted by both,…
PRINCIPLE n.
, or on which others are founded; a general truth; an elementary proposition; a maxim; an axiom; a postulate. Therefore, leaving the principles of the doctrine of Christ, let us go on unto perfection. Heb. vi. 1. A good principle, not rightly understood, may prove as hurtful as a bad. Milton.
SENTENCE n.
A short saying, usually containing moral instruction; a maxim; an axiom; a saw. Broome.
SENTENTIOUS a.
Abounding with sentences, axioms, and maxims; full of meaning; terse and energetic in expression; pithy; as, a sententious style or discourse; sententious truth. How he apes his sire, Ambitiously sententious! Addison.