vorite quote "You can often view glimpses of ingeniousness... not as inexplicable miracles, but as the residue of experience." Did he pen that one or borrow it from someone else?
Although I can't say it hasn't been said before, that's a common theme in his videos.
I disagree with this. Often what is gained from a proof is not the fact that a proof is known, but more insights about the original problem. So, a small technical error may "invalidate" a proof but it does not make it meaningless. Just like a bug in software does not make it worthless.
>Most of the other non-polynomial functions have an equivalent Taylor polynomial
_analytic_ functions have a Taylor _series_, but it would be incorrect to say that "most" functions have a taylor series, and a taylor series is not a polynomial.