This is the third article in a series called Before I Forget, an exposition for the semi-layman of freaky high-level mathematics. Last time we talked about cardinal numbers: numbers which are used for counting the elements in very large sets. This time I’ll use the compactness theorem to introduce an infinity that you can use [...]

This is the second post in a series called Before I Forget, which is an exposition for the semi-layman of some freaky high-level mathematics (mostly set theory). This episode is still about infinity, but covers the Cardinal numbers. Last Time Last time I introduced the ordinal numbers, specifically the ordinal ω—the least number greater than [...]

This is the first post in a new series of mine, “Before I Forget”. This series is an exposition of all the awesome (in the British sense), marvelous, haunting mathematics I learned while in college. I’m not sure how often I’ll add to it or when it will end, but I know that I’ve been [...]