The Weierstrass Approximation Theorem is one of my favorite math theorems, as it shows that all continuous functions in a closed interval (there are tons of them!) can be approximated as closely as possible by polynomials (an infinite, yet much smaller and nicer set).
Years later, Stone came and super-generalized this theorem, by saying that all continuous functions in a compact set in a Hausdorff space can be approximated by an algebra of functions that separate points.
There are LOTS of big words there, but in this video, we'll learn the definition of all of them, using nice analogies like pizzas, clouds, and lego blocks.
