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infinite
9 dictionary results for: infinite
Dictionary.com Unabridged (v 1.1) - Cite This Source - Share This
in·fi·nite       [in-fuh-nit] Pronunciation Key
–adjective
1.immeasurably great: an infinite capacity for forgiveness.
2.indefinitely or exceedingly great: infinite sums of money.
3.unlimited or unmeasurable in extent of space, duration of time, etc.: the infinite nature of outer space.
4.unbounded or unlimited; boundless; endless: God's infinite mercy.
5.Mathematics.
a.not finite.
b.(of a set) having elements that can be put into one-to-one correspondence with a subset that is not the given set.
–noun
6.something that is infinite.
7.Mathematics. an infinite quantity or magnitude.
8.the boundless regions of space.
9.the Infinite or the Infinite Being, God.

[Origin: 1350–1400; ME < L infīnītus boundless. See in-3, finite]

in·fi·nite·ly, adverb
in·fi·nite·ness, noun

1. enormous, immense, tremendous.
1. small, limited.
American Heritage Dictionary - Cite This Source - Share This
in·fi·nite       (ĭn'fə-nĭt)  Pronunciation Key 
adj.  
  1. Having no boundaries or limits.
  2. Immeasurably great or large; boundless: infinite patience; a discovery of infinite importance.
  3. Mathematics
    1. Existing beyond or being greater than any arbitrarily large value.
    2. Unlimited in spatial extent: a line of infinite length.
    3. Of or relating to a set capable of being put into one-to-one correspondence with a proper subset of itself.

n.   Something infinite.


[Middle English infinit, from Old French, from Latin īnfīnītus : in-, not; see in-1 + fīnītus, finite, from past participle of fīnīre, to limit; see finite.]

in'fi·nite·ly adv., in'fi·nite·ness n.
Synonyms: These adjectives mean being without beginning or end: infinite wisdom; boundless ambition; eternal beauty; illimitable space; sempiternal truth. See Also Synonyms at incalculable.

Usage Note: Infinite is sometimes grouped with absolute terms such as unique, absolute, and omnipotent, since in its strict mathematical sense infiniteness is an absolute property; some infinite sets are smaller than others, but they are no less infinite. In nontechnical usage, of course, infinite is often used to refer to an unimaginably large degree or amount, and in these cases it is acceptable to modify or compare the word: Nothing could give me more infinite pleasure than to see you win. Withdrawing the troops would create an even more infinite set of problems for the coalition. · Note that unlike other incomparable adjectives, infinite when used in its strict literal sense cannot be modified by words like nearly, since quantities do not approach infinity by degrees. This constraint, too, can be ignored when the word is used simply to refer to a very large number: You need a nearly infinite amount of patience to do the job. See Usage Notes at absolute, unique.

Online Etymology Dictionary - Cite This Source - Share This
infinite 
c.1385, from L. infinitus "unbounded, unlimited," from in- "not" + finitus "defining, definite," from finis "end."

WordNet - Cite This Source - Share This
infinite

adjective
1. having no limits or boundaries in time or space or extent or magnitude; "the infinite ingenuity of man"; "infinite wealth" [ant: finite
2. of verbs; having neither person nor number nor mood (as a participle or gerund or infinitive); "infinite verb form" [ant: finite
3. too numerous to be counted; "incalculable riches"; "countless hours"; "an infinite number of reasons"; "innumerable difficulties"; "the multitudinous seas"; "myriad stars"; "untold thousands" 
4. total and all-embracing; "God's infinite wisdom" 

noun
1. the unlimited expanse in which everything is located; "they tested his ability to locate objects in space"; "the boundless regions of the infinite" [syn: space

The American Heritage Science Dictionary - Cite This Source - Share This
infinite       (ĭn'fə-nĭt)  Pronunciation Key 
  1. Relating to a set that can be put into a one-to-one correspondence with some proper subset of its own members.
  2. Relating to or being a numerical quantity describing the size of such a set.
  3. Being without an upper or lower numerical bound.

Free On-line Dictionary of Computing - Cite This Source - Share This

infinite mathematics
1. Bigger than any natural number. There are various formal set definitions in set theory: a set X is infinite if
(i) There is a bijection between X and a proper subset of X.
(ii) There is an injection from the set N of natural numbers to X.
(iii) There is an injection from each natural number n to X.
These definitions are not necessarily equivalent unless we accept the Axiom of Choice.
2. The length of a line extended indefinitely.
See also infinite loop, infinite set.
[The Jargon File]
(1995-03-29)

Jargon File - Cite This Source - Share This

infinite

adj. [common] Consisting of a large number of objects; extreme. Used very loosely as in: "This program produces infinite garbage." "He is an infinite loser." The word most likely to follow `infinite', though, is hair. (It has been pointed out that fractals are an excellent example of infinite hair.) These uses are abuses of the word's mathematical meaning. The term `semi-infinite', denoting an immoderately large amount of some resource, is also heard. "This compiler is taking a semi-infinite amount of time to optimize my program." See also semi.

Webster's Revised Unabridged Dictionary - Cite This Source - Share This

Infinite

In"fi*nite\, a. [L. infinitus: cf. F. infini. See In- not, and Finite.]

1. Unlimited or boundless, in time or space; as, infinite duration or distance.

Whatever is finite, as finite, will admit of no comparative relation with infinity; for whatever is less than infinite is still infinitely distant from infinity; and lower than infinite distance the lowest or least can not sink. --H. Brooke.

2. Without limit in power, capacity, knowledge, or excellence; boundless; immeasurably or inconceivably great; perfect; as, the infinite wisdom and goodness of God; -- opposed to finite.

Great is our Lord, and of great power; his understanding is infinite. --Ps. cxlvii. 5.

O God, how infinite thou art! --I. Watts.

3. Indefinitely large or extensive; great; vast; immense; gigantic; prodigious.

Infinite riches in a little room. --Marlowe.

Which infinite calamity shall cause To human life. --Milton.

4. (Math.) Greater than any assignable quantity of the same kind; -- said of certain quantities.

5. (Mus.) Capable of endless repetition; -- said of certain forms of the canon, called also perpetual fugues, so constructed that their ends lead to their beginnings, and the performance may be incessantly repeated. --Moore (Encyc. of Music).

Syn: Boundless; immeasurable; illimitable; interminable; limitless; unlimited; endless; eternal.

Webster's Revised Unabridged Dictionary - Cite This Source - Share This

Infinite

In"fi*nite\, n. 1. That which is infinite; boundless space or duration; infinity; boundlessness.

Not till the weight is heaved from off the air, and the thunders roll down the horizon, will the serene light of God flow upon us, and the blue infinite embrace us again. --J. Martineau.

2. (Math.) An infinite quantity or magnitude.

3. An infinity; an incalculable or very great number.

Glittering chains, embroidered richly o'er With infinite of pearls and finest gold. --Fanshawe.

4. The Infinite Being; God; the Almighty.

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