Uncountable sets and an infinite real number game

Details Uncountable sets and an infinite real number game Uncountable sets and an infinite real number game

2006-06-11

arxiv.org/abs/math/0606253v1

Mathematics

History and Overview

7 pages

Scientific paper

We give a short proof of the well-known fact that the unit interval [0,1] is
uncountable by means of a simple infinite game. We also show using this game
that a (non-empty) perfect subset of [0,1] must be uncountable.

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