We are a commune of inquiring, skeptical, politically centrist, capitalist, anglophile, traditionalist New England Yankee humans, humanoids, and animals with many interests beyond and above politics. Each of us has had a high-school education (or GED), but all had ADD so didn't pay attention very well, especially the dogs. Each one of us does "try my best to be just like I am," and none of us enjoys working for others, including for Maggie, from whom we receive neither a nickel nor a dime. Freedom from nags, cranks, government, do-gooders, control-freaks and idiots is all that we ask for.
Great video. Well done, and easy to follow. It’s a shame he didn’t get any questions at the end.
Toward the end, he says that more mathematics has been discovered since 1900 than in the previous 5000 years, but that much of it is abstract and it is hard to say what will be considered significant 100 years from now. He votes for two developments in the 20th century: Kurt Gödel’s consistency and incompleteness theorems, and Claude Shannon’s information theory. No argument there, but I wonder what Professor Dersch thinks of the significance of chaos and fractal theory. Calculus is a tool for studying smoothness. Fractals are a tool for studying roughness. Benoit Mandelbrot did a TED talk on fractals in 2010 a few months before he died. (here) The Great Courses has a course on chaos theory including fractals. (here) Also interesting stuff.
The Switchel Philosopher
Thanks for the additional sites, Philosopher. Math, especially fractals, intrigues me. I wish I'd had better teachers in high school to encourage study during college. As it is, I've had to expand such knowledge on my own and from some very patient friends and family members. But it is fun.