And also of the strange and wonderful epiphany I got when I started considering the ancient Greeks again. On the purity scale given by the xkcd, math is just applied philosophy.
The Greeks invented philosophy. Nobody thought philosophically before the Greeks invented it. People thought rigorously before the Greeks, but the rigor took a different form. That form is so different from philosophy that we have a different name for it. That word is theology.
When the people of the world tried to think rigorously before the Greeks invented a way to take the theology out of it, they could not stop themselves from invoking deities or moral importunings and all of that alongside their attempts at rigor. Theological rigor is different than philosophical rigor. In a very real way, philosophy is just applied theology.
Patterns for the sake of patterns is a hallmark of ancient theology. The ancient Hebrews believed they needed to sacrifice dozens to hundreds of animals daily at their great temple in order to stay in God's good graces. The Aztecs did one further and sacrificed humans. The patterns, the rituals, calmed the mind and served as a bulwark against the chaos and insanity that would surely reign and did reign whenever war or famine tore them away from them.
Philosophy, the love of wisdom, saved people from that. Without those amazing men who dared to think differently, often at the cost of their lives, Socrates was made to drink poison for his heresy, we wouldn't have the modern world. Ancient Greece wasn't a philosophical wonder island of reason and logic. Philosophy had to coexist with their existing mystery pantheistic sacrifice-demanding religion. Those thought processes that they invented had to catch fire and spread the same way any idea needs to.
It seems so strange, so weird, so crazy to consider, kind of like the idea that all current humans descended from a common ancestor. But before the Greeks, people didn't really consider the true nature of things. They just accepted whatever ideas sounded good and soothing.