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Topic: Fwd: Roots of Unity | ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
Replies: 2   Last Post: Jan 25, 2014 11:32 AM

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Sam Wormley

Posts: 521
Registered: 12/18/09
Fwd: Roots of Unity | ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
Posted: Jan 25, 2014 10:19 AM
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-------- 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/roots-of-unity/2014/01/20/is-the-sum-of-positive-integers-negative/
> http://www.youtube.com/watch?v=w-I6XTVZXww


> 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 super-intelligent can possibly fathom.
> Showing such a crazy result without qualification only reinforces
> that view, and in my opinion does a disservice to mathematics.?







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