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infinite

[in-fuh-nit] /ˈɪn fə nɪt/
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.
  1. not finite.
  2. (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.
Origin
1350-1400
1350-1400; Middle English < Latin infīnītus boundless. See in-3, finite
Related forms
infinitely, adverb
infiniteness, noun
noninfinite, adjective, noun
noninfinitely, adverb
noninfiniteness, noun
quasi-infinite, adjective
quasi-infinitely, adverb
superinfinite, adjective
superinfinitely, adverb
superinfiniteness, noun
uninfinite, adjective
uninfinitely, adverb
uninfiniteness, noun
Synonyms
1. enormous, immense, tremendous.
Antonyms
1. small, limited.
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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Examples for infinite
  • Nothing can be located at a precise point in space or time, preventing the formation of a blip of infinite energy and density.
  • For example, gravity impacts absolutely everything, and its range is infinite.
  • It yields a series of infinite answers, which are meaningless.
  • With infinite space in infinite universes, there are no bounds on entropy.
  • There are an infinite number of ways the initial universe could have been set up.
  • None of them have an infinite choice of mates, and some individuals will inevitably end up with an inferior partner.
  • The impossibly dense ether has been replaced by an infinite energy density pervading the entire universe.
  • High-speed networks and digital libraries will give us access to infinite amounts of information.
  • Any point in an infinite universe can be seen as the center of the universe.
  • But cyclic cosmologies simply extend it over an infinite number of cycles, without any explanation.
British Dictionary definitions for infinite

infinite

/ˈɪnfɪnɪt/
adjective
1.
  1. having no limits or boundaries in time, space, extent, or magnitude
  2. (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)
  1. having an unlimited number of digits, factors, terms, members, etc an infinite series
  2. (of a set) able to be put in a one-to-one correspondence with part of itself
  3. (of an integral) having infinity as one or both limits of integration Compare finite (sense 2)
Derived Forms
infinitely, adverb
infiniteness, noun
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Word Origin and History for infinite
adj.

late 14c., "eternal, limitless," also "extremely great in number," from Old French infinit "endless, boundless," and directly from Latin infinitus "unbounded, unlimited," from in- "not, opposite of" (see in- (1)) + finitus "defining, definite," from finis "end" (see finish). The noun meaning "that which is infinite" is from 1580s.

Online Etymology Dictionary, © 2010 Douglas Harper
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infinite in Science
infinite
  (ĭn'fə-nĭt)   
  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.


The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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infinite in Technology

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

The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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