What is mathematical infinity? Are some infinities bigger than others? And does infinity exist in nature? This radio broadcast discusses how the infinitesimal is needed to understand motion and change; the idea that infinity is a limiting process rather than a thing; whether physical infinities exist such as at the Big Bang or in black holes; the discovery of zero and imaginary numbers; and the sense in which numbers can be said to be real. There is discussion on the paradoxes of Zeno; Cantor and infinite sets; and the Poincare disk and hyberbolic geometry. The broadcast is 42 minutes in length.


  • Mathematics > General
  • Education > General

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Calculus,Informal Education,Number and operations,NSDL,Limits,Grade 9,Undergraduate (Lower Division),oai:nsdl.org:2200/20120114184416838T,NSDL_SetSpec_1007936,Grade 14,Grade 13,Higher Education,High School,Grade 10,Grade 11,Grade 12,Mathematics,Number concepts,Education



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