Definition of "infinite" []

• Having no boundaries or limits. (adjective)
• Immeasurably great or large; boundless: infinite patience; a discovery of infinite importance. (adjective)
• Mathematics Existing beyond or being greater than any arbitrarily large value. (adjective)
• Mathematics Unlimited in spatial extent: a line of infinite length. (adjective)
• Mathematics Of or relating to a set capable of being put into one-to-one correspondence with a proper subset of itself. (adjective)

American Heritage(R) Dictionary of the English Language, Fifth Edition. Copyright (c) 2011 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

• "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."