Re: Randomness isn't enough to make a Shakespeare
Yes that's the video. Notice he calculates by subtracting
a number series from
the series we're interested in, twiddles a bit more, then states "which implies
S = -1/12." Implies? That sure does not sound like a proof. Plus when he's asked what if you summed up all the integers up to a Googleplex (10 to the google power), he answers "You'd get a huge number."
How 'bout this conversation.
Me: I will pay you an infinite number of dollars for your car, waddya say?
You: Cool, let's do it now!
Me: Give me 9 cents.
You: What? OK, here you are, 9 cents.
Me: Great, now we're even, give me the car keys.
Me: Yes indeed it has been implied that an infinite number of dollars = $- 1/12. 1/12 of a dollar = 8.3 cents. The negative part means you pay 8.3 cents to me, which you did. Done deal, now gimme the keys.
You: WTF? Get outta here before I call the cops!
BTW, I've seen other "proofs" showing infinity = 0, infinity = pi, and infinity = 5.