Comment on $1$

• khannie@lemmy.world ⁨2⁩ ⁨hours⁩ ago

  Feels like a risky click. I’m not sure my worldview can take any more shattering. It’s already shattered I tell you. SHATTERED.

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• Klear@piefed.world ⁨7⁩ ⁨hours⁩ ago

  Oh, good. There’s a Numberphile video on it linked at the end. That gives me much better odds of understanding this than just reading the article.

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  • PM_ME_VINTAGE_30S@anarchist.nexus ⁨7⁩ ⁨hours⁩ ago

    Actually, the Numberphile video is notorious for lacking mathematical rigor. Mathologer did a video on it. IMO, it’s really really important to explain the difference between what’s going on here (assigning a number to a divergent series) and what we ordinarily do (computing the limit of a sequence of partial sums).

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    • i_love_FFT@jlai.lu ⁨2⁩ ⁨hours⁩ ago

      There was a full on mathematical war on YouTube, with numberphile coming back later to show that most partial sum methods also end up at -1/12.

      As a science nerd, mathologer basically just took the camp of “old concensus” and gave no other argument than “this is alien math, nope, I don’t like it”. It just felt like mathologer was Pythagoras fighting against irrational numbers…

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  • NeatNit@discuss.tchncs.de ⁨7⁩ ⁨hours⁩ ago

    There have been some claims that the numberphile video is very misrepresentative of the underlying math. But I never dug deep enough into it.

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