infinite set
<mathematics> A set with an infinite number of elements. There are
several possible definitions, e.g.
(i) ("Dedekind infinite") A set X is infinite if there exists a bijection
(one-to-one mapping) between X and some proper subset of X.
(ii) A set X is infinite if there exists an injection from N (the set of natural
numbers) to X.
In the presence of the Axiom of Choice all such definitions are equivalent.
(1995-03-27)
Nearby terms:
Infinite Impulse Response « infinite loop « Infinite
Monkey Theorem « infinite set » infinity »
infix notation » infix syntax
|
