they're a bit rough on vi hart and numberphile as being 'math lite' and all about pictures whereas they are all about the rigour by animating their proof. the obvious counter-argument is that vi and numberphile are working on 'inspiring' people about maths and letting the formalism follow. btw i don't agree that pictures aren't proofs, they're not everything but they're a good scaffold in many situations.
Hi Jgamman. I agree! Pictures are very good schematics at leading proofs into the right direction. Tons of examples: Monotone Convergence Theorem and Bolzano-Weistrass. Best, Otis B. Ramsay '99
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they're a bit rough on vi hart and numberphile as being 'math lite' and all about pictures whereas they are all about the rigour by animating their proof. the obvious counter-argument is that vi and numberphile are working on 'inspiring' people about maths and letting the formalism follow. btw i don't agree that pictures aren't proofs, they're not everything but they're a good scaffold in many situations.
Hi Jgamman. I agree! Pictures are very good schematics at leading proofs into the right direction. Tons of examples: Monotone Convergence Theorem and Bolzano-Weistrass. Best, Otis B. Ramsay '99
In fact, you can argue that our entire series IS about pictures and schematics!