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<mathematics> 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]

< Previous Terms Terms Containing infinite Next Terms >
infeasible path
inference engine
inference rule
aleph 0
Axiom of Choice
Banach space
bit bang
Infinite Impulse Response
infinite loop
Infinite Monkey Theorem
infinite set

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