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Beyond Infinity

By Dr Joel Feinstein - The University of Nottingham and Andrew Beggan

Abstract

This popular maths talk gives an introduction to various different kinds of infinity, both countable and uncountable. These concepts are illustrated in a somewhat informal way using the notion of Hilbert's infinite hotel. In this talk, the hotel manager tries to fit various infinite collections of guests into the hotel. The students should learn that many apparently different types of infinity are really the same size. However, there are genuinely "more" real numbers than there are positive integers, as is shown in the more challenging final section, using Cantor's diagonalization argument.

Topics: ukoer, mathematical sciences, hilbert\'s infinite hotel, cantor\'s diagonalization argument, Education, X000
Publisher: University of Nottingham
Year: 2009
OAI identifier: oai:dspace.jorum.ac.uk:10949/487
Provided by: Jorum Open
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