Online Computer Dictionary

Browse words  |  Based on FOLDOC

Queried for: infinite  About infinite

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.

[Jargon File]