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Beyond infinity

Beyond infinity

Beyond infinity
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.








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Publisher/Author

University of Nottingham. Information Services. Learning Team

Dr Joel Feinstein



U-Now Open Courseware

The University of Nottingham
King's Meadow Campus
Nottingham NG7 2NR

email: is-learning-team@nottingham.ac.uk