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Professor Marcus du Sautoy explores the work of Georg Cantor and his ideas around infinity. Are there different numbers of infinities? Du Sautoy clearly explains Cantor's proof that the infinite set of fractions have the same sort of infinity as the infinite set of whole numbers, but that the infinite set of irrational decimals do not. In other words, there are different infinities, with some bigger than others.
This clip is from:
First broadcast:
27 October 2008

Classroom Ideas

A good enrichment clip for any students interested in a deeper understanding of number theory or famous mathematicians. Work on series could be developed from here.