The only tiny thing I would change was Roger's emphasis on the word mathematics, which for a general non-geek audience is likely to be a turn off, we need some kind of alternative catchphrase there.
I disagree. I just watched Roger introducing it again. He first references it like this:
"...guaranteed by the laws of mathematics rather than the laws of men."
I think that's a huge win. Everyone, including non-geeks, understands math is basically beyond question. If something doesn't compute mathematically there is an error somewhere, anywhere except for the math because irregular math means irregular physics aka not reality. That's a strong endorsement for Bitcoin.
So the host immediately responds with:
"Everything you just said makes sense to me because I did a lot of research ... but in layman's terms that's confusing, because it brings up the concept of algorithms, correct? And the sort of basic math that has to exist for bitcoins to be created on computers ... it is confusing would you agree?"
And Roger replies brilliantly:
"Right, but for the average person who is just interested in buying and selling things around the world or with other people they don't need to worry about that. All they need to know about bitcoins is it's 100% mathematically impossible for anyone to be able to block you from sending or receiving your bitcoins with anyone in the entire world, and that's a revolutionary thing."