When I give this talk to a physics audience, I remove the quotes from my 'Theorem'.
Physicists are more like avant-garde composers, willing to bend traditional rules... Mathematicians are more like classical composers.
Over the centuries, monumental upheavals in science have emerged time and again from following the leads set out by mathematics.
One of the strangest features of string theory is that it requires more than the three spatial dimensions that we see directly in the world around us. That sounds like science fiction, but it is an indisputable outcome of the mathematics of string theory.