Shiny Pebbles and other stuff

How careful do you have to be with probability problems? Very careful. Very, very careful. Lack of enough care leads to (...

Cantor's theorem states that the cardinality of a set is always strictly less than the cardinality of its power set. ...

The Universe is about fifteen billion years old, and started off with a Big Bang, as any fule kno. Well, kind of, but tha...

How badly can a function \(f:\mathbb{R} \to \mathbb{R}\) behave? In fact, remarkably badly. Today, I will mostly be post...

After mastering (or at least being exposed to) the arithmetic of natural numbers, we go beyond, to rational and even...

In mathematics (and before that, arithmetic) we get used to dealing with numbers in various ways. But what is a number? ...

'Everybody knows' that the uncertainty principle of quantum mechanics tells us that we can't make a measureme...