Ramsey Theory
My interest in Ramsey Theory, a fascinating field that explores the emergence of patterns within sufficiently large systems, was sparked by my exploration of topics in graph theory. I was looking to learn about order from choas I started with the example of the pigeonhole principle
Theorem (Pigeonhole Princicple)
If there exists \(m\) pigeonoles containing \(n\) pigeons, where \(n > m\), then at least one of the pigeonholes must contain at least 2 pigeons.