more from Brian Clegg

### Single Idea 10864

#### [catalogued under 4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets]

Full Idea

The idea of the 'power set' means that it is always possible to generate a bigger one using only the elements of that set, namely the set of all its subsets.

Gist of Idea

Any set can always generate a larger set - its powerset, of subsets

Source

Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.14)

Book Reference

Clegg,Brian: 'Infinity' [Robinson 2003], p.184