# The Paradox That Keeps Mathematicians up All Night

## What we know about mathematical proofs was changed by Gödel’s Incompleteness Theorem.

Remember the** ****Collatz conjecture**? Here’s a quick recap. Guess a positive number. If the number is even, just divide it by 2. If the number is odd, then multiply it by 3 and add 1. This makes the number even again, and you can divide it by…