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THE VIDEO SHELF · divergent series

ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12

A Numberphile video in which physicists Tony Padilla and Ed Copeland show a seemingly astounding result that 1+2+3+4+... equals -1/12. The argument is informal and has drawn criticism for glossing over what the result actually means.

Why HN readers recommended it

HN uses it as the standard reference for the -1/12 meme, with commenters split between enjoying it and calling it a cheat.

This is a summary from the source dataset, not an endorsement by Hacker News or the video creator.

Video & recommendation details

Creator / channel
Numberphile
Topic
divergent series
Format
explainer
Level
general
HN recommenders in dataset
3
HN mentions in dataset
11
Recommendation years in dataset
2014–2023

These counts and years describe the included Hacker News records; they are not YouTube views or the video’s publication date.

From the original HN conversations

Excerpts from the recorded comments. Follow each source for the full comment and surrounding discussion.

  • this infinite sum was featured in a numberphile video a few days ago with a entraining and simple "proof": [VIDEO] and a more advanced explanation & proof in the bonus-video: [LINK] you should definitely subscribe to numberphile ( [LINK] ) and their sister channel computerphile …

    alternize on Hacker News · 2014-01
    In 1 + 2 + 3 + 4 + ... = - 1/12
  • Watch this entertaining Numberphile video about this topic: [VIDEO] Apparently it's used in many areas in Physics.

    yelnatz on Hacker News · 2014-01
    In 1 + 2 + 3 + .. = -1/12
  • This is a good video explaining it: [VIDEO] Although it relies on a particular interpretation of the left side of the equation, it's used in some areas of physics.

    barbs on Hacker News · 2021-10
    In Conterintuitive facts in mathematics, CS, and physics

Summaries, classifications and recommendation records are from the HackerTube source dataset. Read about this library and its limitations.

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