# infinite

(redirected from Infinito)
Also found in: Dictionary, Thesaurus, Wikipedia.

## infinite

Maths
a. having an unlimited number of digits, factors, terms, members, etc.
b. (of a set) able to be put in a one-to-one correspondence with part of itself
c. (of an integral) having infinity as one or both limits of integration
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

## infinite

[′in·fə·nət]
(mathematics)
Larger than any fixed number.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## infinite

(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.