I suspect these men would have gone insane even if they had not been obsessed by unsolvable problems. I think it's more likely that they just happened to be engaged in a specific problem while they were overcome by mental deterioration. The video premise is one of cause and effect. I don't believe it's that simple or mysterious, but it does make for exciting story telling. The implication that they studied a problem with such insight and ability that the answer itself, as it began to be understood, blew their minds, literally. <Kerschploing!> (picture loose wires and broken springs dangling from the remains of an exploded head). A dark foreboding, "Be careful what you seek. You may not like what you find," but carried to it's most extreme outcome of permanent mental chaos.
But just to be safe, best to pull the kids out of school after the 4th grade, because too much knowledge can only lead to the worst imaginable outcomes. It's easy to learn, but impossible to unlearn.