Computing Dictionary
infinite definition
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]
(1995-03-29)