Search by Topic

Resources tagged with Countability similar to Hilbert's Hotel:

Filter by: Content type:
Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

There are 3 results

Broad Topics > Numbers and the Number System > Countability

problem icon

All about Infinity

Stage: 3, 4 and 5

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. . . .

problem icon

Hilbert's Hotel

Stage: 4 and 5

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

problem icon

How Many Elements Are There in the Cantor Set?

Stage: 4 and 5

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