# Thread: aleph-naught

1. ## aleph-naught

Why aleph-naught (or aleph-null) is smallest power of the infinity?
Is the an explanation to that?

2. ## Re: aleph-naught

It is the direct consequence of the following theorem:

Any set of integers is either finite or has cardinality $|\mathbb{N}|=\aleph_0$.

I leave the proof to you as it is fairly straightforward.