Examining Ramsey Numbers

This paper explores the work of Frank P. Ramsey who founded Ramsey’s Theorem and is centered on the fact that complete disorder is impossible. The goal is to dig into Ramsey’s Theory by examining various Ramsey Numbers and bounds. Through this examination of Ramsey Numbers we will begin to see how we can reach structures arbitrarily large and be able to guarantee substructure through the proof of Ramsey’s Theorem.