Minutes at the Edge #6: Mind-melting maths

Today’s Minutes at the Edge podcast is about the kind of maths so counter-intuitive and weird, it makes your brain melt. Listen and you will see what I mean.

 

Minutes at the Edge Logo (Tesla's Tower)

This is the Youtube video responsible for the hub-bub: http://www.youtube.com/watch?v=w-I6XTVZXww

And here are some links discussing the topic. Some say it works, some say it does not. Make up your own mind:

What Phil Plait, the Bad Astronomer has to say

Pharyngula is sceptical

1+2+3+4 etc. at the Wikipedia

Twice the same question, different and very interesting answers

http://physics.stackexchange.com/questions/92739/how-does-the-sum-of-the-series-1-2-3-4-5-6-to-infinity-1-12

http://math.stackexchange.com/questions/630490/how-does-the-sum-of-the-series-1-2-3-4-5-6-ldots-to-infinity

An in-depth take on the problem

And to smooth it all out, a fitting piece of art:


Mind Meltdown by da-hazard on deviantART