Definition:Infinite Set

Definition
A set which is not finite is called infinite.

That is, it is a set for which there is no bijection between it and any $\N_n$, where $\N_n$ is the the set of all elements of $n$ less than $n$, no matter how big we make $n$.

Also see

 * Finite Set
 * Countable Set
 * Uncountable Set
 * Dedekind-Infinite


 * Infinite Set Equivalent to Proper Subset