So, I’ve already made you, dear reader, somewhat familiar with entropy (if not, go back and read this post). I have bad news, I am afraid: I LIED. But trust me, I had only the best intentions! The definitions I have given in the previous post are still completely correct, but simplified too far. The problem that arises from the old post is called the Gibbs Paradox, and I will in this post explain what this is, and how it is rectified.