A man after my own heart. I've long been saying that corporate tax rates should be zero, but all dividend and capital gains rates should be taxed at regular earned income rates. What we have now is this weird system where income earned through investments is taxed twice (first corporate, then dividend or cap gain) but each at a lower rate. Just normalize everything.
Numberphile isn't that great if you're already interested in math. They talk a lot about math words, but they hardly ever do any math. 3Blue1Brown is where the good math is.
It isn’t a great way to learn the details, but it’s a great way to learn about topics you might not have come across.
This video is about the hierarchy of fast-growing functions indexed by ordinals, and it includes enough details for a competent mathematician to be able to work out the rigorous general definition. For someone unfamiliar with the topic, it’s an enjoyable and low-effort way to learn enough about it to recognise whether it’s interesting enough to learn about properly.
There are several examples of cutting-edge mathematical work having been directly inspired by numberphile videos, most recently the work of Andrew Booker and Drew Sutherland on expressing integers as sums of three cubes.
3blue1brown concentrates on giving clear, elegant, rigorous explanations of established subjects. So perhaps ironically, despite being typically more rigorous, I don’t know any examples of it inspiring new mathematical research.
> There are several examples of cutting-edge mathematical work having been directly inspired by numberphile videos, most recently the work of Andrew Booker and Drew Sutherland on expressing integers as sums of three cubes.
I don't know if this is why you made this comment or not, but Brady Haran (creator of Numberphile) gave a talk on this exact topic a week ago today at the MSRI in Berkeley.
Don't insult them because they discuss topics at a more basic level than you prefer. There's always going to be higher levels (e.g., youtuber A < youtuber B < reading a text book < taking a university course < getting a degree < conducting novel research < conducting novel research published in journal A < journal B < journal C), which may be better suited for different audiences. Landing in one versus the other doesn't make you (or the instructors) better or worse. It's silly to say that the one you happen to prefer is where "good math" is.