more from George Cantor

### Single Idea 10865

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

Full Idea

Cantor discovered that the continuum is the powerset of the integers. While adding or multiplying infinities didn't move up a level of complexity, multiplying a number by itself an infinite number of times did.

Gist of Idea

The continuum is the powerset of the integers, which moves up a level

Source

report of George Cantor (works [1880]) by Brian Clegg - Infinity: Quest to Think the Unthinkable Ch.14

Book Reference

Clegg,Brian: 'Infinity' [Robinson 2003], p.185