immeasurably great: an infinite capacity for forgiveness.
indefinitely or exceedingly great: infinite sums of money.
unlimited or unmeasurable in extent of space, duration of time, etc.: the infinite nature of outer space.
unbounded or unlimited; boundless; endless: God's infinite mercy.
not finite.
(of a set) having elements that can be put into one-to-one correspondence with a subset that is not the given set.
something that is infinite.
Mathematics. an infinite quantity or magnitude.
the boundless regions of space.
the Infinite (Being), God.

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

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

1. enormous, immense, tremendous.

1. small, limited. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
infinite (ˈɪnfɪnɪt)
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

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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Word Origin & History

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 
  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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Computing Dictionary

infinite definition

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]

The Free On-line Dictionary of Computing, © Denis Howe 2010
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Example sentences
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.
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