Single Idea 10863

[catalogued under 27. Natural Reality / C. Space / 3. Points in Space]

Full Idea

Cantor proved that one-dimensional space has exactly the same number of points as does two dimensions, or our familiar three-dimensional space.

Gist of Idea

Cantor proved that three dimensions have the same number of points as one dimension

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.183