Math Investigation eTwinning. Mission: Infinity...Affairs! Volume: Infinity | Page 14

the x22 digit doesn't match. And so on – 0.y11y22y33… is a completely new real number not in our
initial list.
But this is a contradiction, since we started by assuming that all real numbers were in our list.
Therefore this assumption must have been wrong, so we can't write down all real numbers in a list.
Therefore the real numbers are not countable. They are a bigger kind of infinity.

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LYKEIO SCHIMATARIOY, GREECE

- VALLAURI FOSSANO, ITALY

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