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Meaning of INFINITE

Pronunciation:  'infunit

 
Matching Terms:  infinite impulse response, infinite loop, infinite monkey theorem, infinite set, infinitely, infiniteness, infinitesimal, infinitesimal calculus, infinitesimally, infinitival, infinitive, infinito, infinitude, infinituple, infinity

Computing Dictionary
 
 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]

 
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