# infinite

## in·fi·nite

[in-fuh-nit]
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 (Being), God.
00:10
Infinite is always a great word to know.
So is lowest common multiple. Does it mean:
 a statement that two quantities are equal; an equation
 the smallest number that is a common multiple of a given set of numbers

Origin:
1350–1400; Middle English < Latin infīnītus boundless. See in-3, finite

in·fi·nite·ness, noun
non·in·fi·nite·ness, noun
su·per·in·fi·nite·ness, noun
un·in·fi·nite·ness, noun

1. enormous, immense, tremendous.

1. small, limited.
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2013.
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World English Dictionary
 infinite (ˈɪnfɪnɪt) —adj 1. a.  having no limits or boundaries in time, space, extent, or magnitude b.  (as noun; preceded by the): the infinite 2. extremely or immeasurably great or numerous: infinite wealth 3. all-embracing, absolute, or total: God's infinite wisdom 4. maths a.  having an unlimited number of digits, factors, terms, members, etc: an infinite series b.  (of a set) able to be put in a one-to-one correspondence with part of itself c.  Compare finite (of an integral) having infinity as one or both limits of integration 'infinitely —adv 'infiniteness —n

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Etymonline
Word Origin & History

infinite
c.1385, from L. infinitus "unbounded, unlimited," from in- "not" + finitus "defining, definite," from finis "end" (see finish).
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Science Dictionary
 infinite   (ĭn'fə-nĭt)  Pronunciation Key  Relating to a set that can be put into a one-to-one correspondence with some proper subset of its own members. Relating to or being a numerical quantity describing the size of such a set. Being without an upper or lower numerical bound.
The American Heritage® Science Dictionary
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Slang Dictionary

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.
FOLDOC
Computing Dictionary

### infinite definition

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.
[Jargon File]
(1995-03-29)

The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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Example sentences
With infinite space in infinite universes, there are no bounds on entropy.
Start with the flooring, which offers a seemingly infinite number of choices,
from pavers to gravel tops to outdoor tiles.
The beauty of paperless publishing, though, is its infinite space.
With infinite possibilities, everyone know matter how outlandish could be right.
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