# Even Numbers Equal All Numbers

What if I told you something that seems to contradict common sense, but nonetheless is true?
Well, here it is. A paradox of numbers.

There are as many even numbers as there are even numbers plus odd numbers.

Read it again to make sure you’ve got the concept.
Even numbers are every other whole number. So we’ve got 2, 4, 6, 8, 10, 12, 14, 16, 18…. on to infinity.
You would think the number of even numbers would be half the number of even and odd numbers together. However, you’d be wrong because infinity divided by 2 is still infinity.
Note we can’t say how many even numbers there are because it’s infinite. Infinite has no end. There are an infinite number of even numbers. There are an infinite number of even and odd numbers together.
Infinity equals infinity. Infinity divided by 2 is still infinity. Infinity plus 1 is still infinity. Infinity minus 1 is still infinity. Thus, although it seems to contradict common sense, it is mathematically correct to say:

There are as many even numbers as there are even numbers plus odd numbers.

That number is infinity.