# Higher Cardinals.

1. Oct 7, 2006

### Son Goku

Just an ideal question, possibly asked before, but is there an example of a Set which has cardinality of $$\aleph_{2}$$?

2. Oct 7, 2006

### CRGreathouse

That's a tough one, since it depends on the assumptions you use. With the GCH, the set of all functions $f:\mathbb{R}\rightarrow\mathbb{R}$ has cardinality $\aleph_2$.