Introducing Infinity: A Graphic Guide (Introducing...) by Brian Clegg

Author:Brian Clegg [Clegg, Brian]
Language: eng
Format: epub
ISBN: 9781848314061
Publisher: Icon Books Ltd
Published: 2014-12-01T06:00:00+00:00

IF WE DIDN’T TAKE THIS APPROACH WE WOULD HAVE TO LEARN HOW TO OPERATE EVERY SINGLE LIGHT SWITCH WE EVER CAME ACROSS SEPARATELY.

For our purposes we need to pick out one aspect of set theory, called cardinality*. Let’s think of two very simple sets. The first is the set of legs on my dog. The second is the four horsemen of the apocalypse. These two sets have the same cardinality if I can pair off the members of the sets on a one-to-one basis. So, for example, the front right leg could pair up with Death, front left with Famine, and so on. I’ve exhausted both legs and horsemen, so they have the same cardinality. But – and here’s the clever thing – I needn’t know how many legs or horsemen there are.

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