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Title: Beyond infinity
Author/Creator: University Of Nottingham
Publisher: University of Nottingham
Date: 23-Nov-2010
Description: 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.
Subject keyword : UKOER
URI: http://open.jorum.ac.uk:80/xmlui/handle/123456789/2593
Rights: Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales 
http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ 
Appears in Collections:Mathematical and Computer Sciences

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