from The American Heritage® Dictionary of the English Language, 4th Edition
- adj. Having no boundaries or limits.
- adj. Immeasurably great or large; boundless: infinite patience; a discovery of infinite importance.
- adj. Mathematics Existing beyond or being greater than any arbitrarily large value.
- adj. Mathematics Unlimited in spatial extent: a line of infinite length.
- adj. Mathematics Of or relating to a set capable of being put into one-to-one correspondence with a proper subset of itself.
- n. Something infinite.
from Wiktionary, Creative Commons Attribution/Share-Alike License
- adj. Having infinitely many elements.
- n. Infinitely many.
from the GNU version of the Collaborative International Dictionary of English
- adj. Unlimited or boundless, in time or space.
- adj. Without limit in power, capacity, knowledge, or excellence; boundless; immeasurably or inconceivably great; perfect; ; -- opposed to
- adj. Indefinitely large or extensive; great; vast; immense; gigantic; prodigious.
- adj. Greater than any assignable quantity of the same kind; -- said of certain quantities.
- adj. 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.
- n. That which is infinite; boundless space or duration; infinity; boundlessness.
- n. An infinite quantity or magnitude.
- n. An infinity; an incalculable or very great number.
- n. The Infinite Being; God; the Almighty.
from The Century Dictionary and Cyclopedia
- Immeasurably or innumerably great; so great as to be absolutely incapable of being measured or counted.
- All-embracing; lacking nothing; the greatest possible; perfect; absolute: applied only to Divinity.
- Boundless; unbounded; endless; without limit; interminable. In this sense the surface of a pea is infinite, while a plane of immeasurable extent whose continuity is interrupted by one small hole is finite.
- By hyperbole, indefinitely extensive; beyond our powers of measuring or reckoning.
- [Tr. Gr.
ἀόριστος: see aorist.] In logic, modified, as a term, by a sign of negation.
- n. Anything which is infinite, in any sense.
- n. A large number; a crowd.
- n. In geometry, the plane on which lie all points at infinity and all straights at infinity.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- adj. total and all-embracing
- adj. too numerous to be counted
- adj. having no limits or boundaries in time or space or extent or magnitude
- n. the unlimited expanse in which everything is located
- adj. of verbs; having neither person nor number nor mood (as a participle or gerund or infinitive)
Although _Philosophers_ say, _No Number is infinite, because it can be numbred_; for _infinite_ is a quantity that cannot be taken or assigned, but there is (_infinitum quoad hos_) as they term it, that is _infinite_ in respect of our apprehension:
When he explains that it is infinite and omnipresent, like poor Paddy's famed ale, the explanation 'thickens as it clears;' for being ourselves _finite_, and necessarily present on one small spot of our very small planet, the words _infinite_ and _omnipresent_ do not suggest to us either positive or practical ideas -- of course, therefore, we have neither positive nor practical ideas of an infinite and omnipresent Being.
There must then be obedience to an infinite law, or _infinite_ punishment for transgression.
˜infinite™ and then indicating the different senses it can have depending on where it occurs in a proposition, he treats the infinite itself as a term.
˜infinite™ is used categorematically, for in that case its signification is “Things that are infinite are finite.”
Without such an ultimate and immediate signification instantiated in the formal signification of the mental concept, there would be, as John Raulin remarks, an infinite regress (processus in infinitum) in any signification, something like a Peircean ˜infinite semeiosis™. [
That's the kind of, oh, let's call it infinite diversity in infinite combination, that I've always loved about our genre.
But Pentagon say and Defense Secretary Rumsfeld said that may get a reworking because some Muslim groups have said that the term infinite justice could be offensive to Muslims because in their religion, only Allah can dispense ultimate or infinite justice -- Wolf.
The fact that, by the law of the series or of the process, _we_ may continue the operation _as long as we please_, does not justify the application of the term infinite to the operation itself; if any thing is infinite, it is the will which continues the operation, which is absurd if said of human wills.
The president expressed what he called his infinite gratitude to those who chose him as their president.
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