# Math Jokes

These are some mathematical jokes. They are so un-funny that they need to be explained. Hover with your mouse over the spoiler box to read it.

## Greater and Less Than Zero

$$\exists \epsilon > 0\colon \frac{1}{2} \, \epsilon < 0$$

$\epsilon$ is supposed to be *so* close to zero that dividing it by two makes
it negative. Of course, this is impossible.

## Aleph Null

$$\exists \epsilon \in \mathbb{R}^+\colon | 0, \epsilon | = \aleph_0$$

The interval $[0, \epsilon]$ is part of the real numbers. Using the default
measure it has a certain volume. The number of numbers within this number is
the same as the continuum, $c$. The stated cardinality of $\aleph_0$ is the one
of the natural numbers which are countable. No matter how small the set from
the real numbers is, the numbers contained within are always uncountable.
Therefore here the $\epsilon$ is *so* small that the real numbers in the
interval become countable.