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Fwd: Roots of Unity  ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = 1/12
Posted:
Jan 25, 2014 10:19 AM


 Original Message  Subject: Roots of Unity  ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = 1/12 Date: Sat, 25 Jan 2014 09:18:23 0600 From: Sam Wormley <swormley1@gmail.com> Newsgroups: sci.physics
Roots of Unity > http://blogs.scientificamerican.com/rootsofunity/2014/01/20/isthesumofpositiveintegersnegative/ > http://www.youtube.com/watch?v=wI6XTVZXww
> I?m usually a fan of the Numberphile crew, who do a great job making > mathematics exciting and accessible, but this video disappointed me. > There is a meaningful way to associate the number 1/12 to the series > 1+2+3+4?, but in my opinion, it is misleading to call it the sum of > the series. Furthermore, the way it is presented contributes to a > misconception I often come across as a math educator that > mathematicians are arbitrarily changing the rules for no apparent > reason, and students have no hope of knowing what is and isn?t > allowed in a given situation. In a post about this video, physicist > Dr. Skyskull says, ?a depressingly large portion of the population > automatically assumes that mathematics is some nonintuitive, bizarre > wizardry that only the superintelligent can possibly fathom. > Showing such a crazy result without qualification only reinforces > that view, and in my opinion does a disservice to mathematics.?



