Single Idea 15905

[catalogued under 6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number]

Full Idea

In 1878 Cantor published the unexpected result that one can put the points on a plane, or indeed any n-dimensional space, into one-to-one correspondence with the points on a line.

Gist of Idea

Cantor proved the points on a plane are in one-to-one correspondence to the points on a line

Source

report of George Cantor (works [1880]) by Shaughan Lavine - Understanding the Infinite III.1

Book Reference

Lavine,Shaughan: 'Understanding the Infinite' [Harvard 1994], p.42