I love counter-intuitive math. But I'm not a mathematician, so it'll take me some time to fully absorb your article. Just to show my ignorance: I can never permanently wrap my head around something as basic as the Monty Hall problem. I read the explanation, I understand it, and within days, I've forgotten the explanation and find myself wondering how the resolution that I had understood a few days ago can be true. Intuition can be a real finger pull of a heuristic.