Jagadeeshan, Shashidhar
(2016)
The magical world of infinities.
At Right Angles, 5 (2).
pp. 1723.
Abstract
In the previous article we encountered the strange world of
infinities, where a lot of our intuitive sense of how infinite sets should behave started breaking down. We saw for example that infinite sets can have subsets which have as many elements as the original set; we also saw our intuition about length breaking down. No matter what the lengths of the two lines are, they ended up having the same number of points. Moreover, all the examples of infinite sets we encountered ended up having the same number of elements. You might naturally assume that there is only one kind of infinity – which is what perhaps you had assumed right from the beginning?
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