I took a course in combinatorics as an undergrad, so I know what Ramsey's theorem is. But our professor didn't go over the proof of Ramsey's theorem, our profes

I took a course in combinatorics as an undergrad, so I know what Ramsey's theorem is. But our professor didn't go over the proof of Ramsey's theorem, our professor said he couldn't expect us to understand the proof because he didn't understand it himself. I might have gotten more out the article if there was some explanation as to what a "finitistic" proof is, and how it differs from the "infinitistc" proof. Maybe the concept is too complicated to explain in a short article.