If I started with a one element set and took its power set. And then I just kept taking the power set forever, would I eventually end up(adsbygoogle = window.adsbygoogle || []).push({});

with a set that had cardinality of [itex] \aleph_0 [/itex] ?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Power sets.

**Physics Forums | Science Articles, Homework Help, Discussion**