|1.||Unlimited or boundless, in time or space; |
|2.||Without limit in power, capacity, knowledge, or excellence; boundless; immeasurably or inconceivably great; perfect; |
|3.||Indefinitely large or extensive; great; vast; immense; gigantic; prodigious.|
|4.||(Math.) Greater than any assignable quantity of the same kind; - said of certain quantities.|
|5.||(Mus.) Capable of endless repetition; - said of certain forms of the canon, called also |
|n.||1.||That which is infinite; boundless space or duration; infinity; boundlessness.|
|2.||(Math.) An infinite quantity or magnitude.|
|3.||An infinity; an incalculable or very great number.|
|4.||The Infinite Being; God; the Almighty.|
|Adj.||1.||infinite - having no limits or boundaries in time or space or extent or magnitude; "the infinite ingenuity of man"; "infinite wealth"|
finite - bounded or limited in magnitude or spatial or temporal extent
|2.||infinite - of verbs; having neither person nor number nor mood (as a participle or gerund or infinitive); "infinite verb form"|
finite - of verbs; relating to forms of the verb that are limited in time by a tense and (usually) show agreement with number and person
|3.||infinite - too numerous to be counted; "incalculable riches"; "countless hours"; "an infinite number of reasons"; "innumerable difficulties"; "the multitudinous seas"; "myriad stars"; "untold thousands"|
|4.||infinite - total and all-embracing; "God's infinite wisdom"|
|(mathematics)||infinite - 1. Bigger than any natural number. There are
various formal set definitions in set theory: a set X is
(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.