# Resources tagged with: Infinity

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### There are 8 results

Broad Topics > The Number System and Place Value > Infinity

### Odds, Evens and More Evens

##### Age 11 to 14 Challenge Level:

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

### Route to Infinity

##### Age 11 to 14 Challenge Level:

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

### How Long Is the Cantor Set?

##### Age 11 to 14 Challenge Level:

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?

### The Cantor Set

##### Age 11 to 14 Challenge Level:

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?

### Diminishing Returns

##### Age 11 to 14 Challenge Level:

How much of the square is coloured blue? How will the pattern continue?

##### Age 11 to 18

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. . . .

### Hilbert's Hotel

##### Age 14 to 18

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

### How Many Elements Are There in the Cantor Set?

##### Age 14 to 18

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