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### Early Encounters with Infinity

This article is one parent's story describing his young son's exploration, and growing understanding, of infinity.

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Early Encounters with Infinity

This article is one parent's story describing his young son's exploration, and growing understanding, of infinity.

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Odds, Evens and More Evens

Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...

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Route to infinity

Can you describe this route to infinity? Where will the arrows take you next?

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How long is the Cantor Set?

Take a line segment of length 1. Remove the middle third. Remove
the middle thirds of what you have left. Repeat infinitely many
times, and you have the Cantor Set. Can you find its length?

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The Cantor Set

Take a line segment of length 1. Remove the middle third. Remove the middle thirds of what you have left. Repeat infinitely many times, and you have the Cantor Set. Can you picture it?

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How many elements are there in the Cantor set?

This article gives a proof of the uncountability of the Cantor set.

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Hilbert's Hotel

Hilbert's Hotel has an infinite number of rooms, and yet, even when
it's full, it can still fit more people in!

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All about Infinity

Infinity is not a number, and trying to treat it as one tends to be a pretty bad idea. At best you're likely to come away with a headache, at worse the firm belief that 1 = 0. This article discusses the different types of infinity.