Thoughts of a Flying Sheep

Ok, let's talk about infinity. There are many types of infinity. There are some infinities which are bigger then others. In fact, some infinities are infinitely bigger than others. Let me give an example.

Natural numbers are positive whole numbers, like 1, 5, 17, and 253345673.
Integers are both positive and negative whole numbers, with 0, so -243, 546, and 0 are integers.

There are infinitely many Natural numbers, right? Sure, because you can start at 1, and you never end.
We say that a set of numbers is countable if it has the same number of things in it as the Natural numbers.

In other words, if a set is countable, you can count the objects in it. You can label them 1, 2, 3, 4, etc.
So, show that the set of integers (both positive and negative numbers) is a countable set.

Go, go do it now. If you have trouble, use the definition above. Good luck.

posted by FlyingSheep @ 3:08 PM