Archive for the ‘Patterns’ Category

OK, so as many know, the common pattern for the three problems from the last post is called the “Pigeonhole principle”, and it’s deceptively simple: it says that if you have pigeons and you are trying to fit them into pigeonholes, then there exists at least one pigeonhole with 2 pigeons in it. Sounds simple […]

Math Craft


One of my favorite essays on math is an essay by Bill Thurston, entitled On proof and progress in mathematics. In that essay, he refers to the difficulty of even defining what mathematics actually is; as an aside, he offers a proposed definition of mathematics (that he himself is not 100% satisfied with): “the theory […]