The worst example I remember, which is actually what drove me to unsubscribe, was when he said that the golden ratio was "a pretty five-y number" because it can be written as 0.5 + 0.5 * (5^0.5). Anyone with a good mathematical background could tell you there's nothing five-y about 0.5 at all. I'll grant him, the golden ratio is still a little bit five-y because of the sqrt(5).
The whole context and presentation seemed like it was designed to make the viewer feel like they'd learnt something even though nothing of substance was really delivered in those 20 seconds. He does that a lot.