• Trial by fire: My mission to prove every real analysis theorem from scratch

    Proving stuff yourself is hard, and my initial attempts were catastrophic. I wrote one proof that began with a stronger statement than the conclusion I was attempting to draw, rendering the proof useless even in the unlikely case it was otherwise successful. It was not otherwise successful. Jumping through several dodgy implications and logical errors, […]


  • The Missing Puzzle Piece

    Recently, I decided to go back to basics, and learn mathematics from the ground up. You will find that post here. Calculus was first on the list. I’m taking the MIT course in single variable calculus, it’s available for free online. It’s tempting to try and jump a few rungs. We understandably want to learn […]


  • So I’ve Decided to Learn Math

    I might want to do an Economics PhD My undergraduate degree was in economics, now I’m studying a master’s in philosophy. I absolutely love philosophy, and I’m excited by the opportunity to dive in deep. Yet there are reasons I’d consider further study in economics, rather than philosophy. Importantly, the job prospects for even the […]