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THE VIDEO SHELF · infinite sums and p-adic numbers

What does it feel like to invent math?

3Blue1Brown explores infinite sums from convergent to divergent, with an introduction to the 2-adic metric, themed on the cycle between discovering and inventing mathematics.

Why HN readers recommended it

Recommended as a favorite Grant Sanderson video and a visual introduction to p-adic numbers and sums like 1+2+4+...

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

Video & recommendation details

Creator / channel
3Blue1Brown
Topic
infinite sums and p-adic numbers
Format
explainer
Level
intermediate
HN recommenders in dataset
6
HN mentions in dataset
6
Recommendation years in dataset
2016–2024

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.

  • I loved this video [VIDEO] "An exploration of infinite sums, from convergent to divergent, including a brief introduction to the 2-adic metric, all themed on that cycle between discovery and invention in math."

    JoeCamel on Hacker News · 2016-07
    In Does 1+2+3+... Really Equal -1/12?
  • So many things I could say about this, but I"ll let Alan Kay speak for me - [LINK] Alan talks about how ideas in Calculus could be manifested from an early age and a richness in understanding built up as they aged up: - at …

    skadamat on Hacker News · 2017-12
    In Communicating Advanced Mathematics to Kids
  • 3lue1brown has a great visualization of constructing p-adic numbers and calculating their metric through the lens of 2-adic numbers: [VIDEO] This article fills in some bits omitted from the video: [LINK]

    padics on Hacker News · 2021-05
    In Mathematicians Find Long-Sought Building Blocks for Special Polynomials

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