BBC Learning Zone Clips

CLIP 11238

Cantor and the mathematics of infinity

Cantor and the mathematics of infinity
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Key Info
  • Cantor and the mathematics of infinity
  • Duration: 03:10
  • 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.
  • Subject:

    Maths

       Topic:

    Key Processes and Thinking

  • Keywords: sequences, series, infinity, fractions, irrational, surd, creative thinking
Ideas for use in class
  • A good enrichment clip for any students interested in a deeper understanding of number theory. This could work with a Higher GCSE group studying irrational numbers or surds, or an A-Level group looking at infinite series.
Background details
  • Clip language : English
  • Aspect ratio : 16x9

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