HackerTube

THE VIDEO SHELF · banach-tarski paradox

The Banach–Tarski Paradox

Vsauce's roughly 24 minute explainer on the Banach-Tarski paradox, building from infinity and set theory to the decomposition of a sphere into pieces that form two spheres.

Why HN readers recommended it

Recommended as an accurate, entertaining on-ramp to set theory and infinity, worth pausing and rewatching.

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

Video & recommendation details

Creator / channel
Vsauce
Topic
banach-tarski paradox
Format
explainer
Level
general
HN recommenders in dataset
6
HN mentions in dataset
12
Recommendation years in dataset
2015–2024

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.

  • Learn set theory! Specifically ordinals (just one formal defintion of a number) This vsauce video is actually a really accurate (and entertaining!) introduction to set theory: [VIDEO]

    Aicy on Hacker News · 2021-09
    In Intermediate Algebra
  • Other good STEM video channels/series: Dave Ackley's series "Hyperspace Academy", "Robust First Computing", and "Artificial Life" are well animated: [LINK] Vsause's video on "The Banach–Tarski Paradox": [VIDEO] (mindblown) XylyXylyX channel's series on "What is a Tensor?" and "What is a Manifold?": [LINK] Socratica's series on …

    espeed on Hacker News · 2017-02
    In The Essence of Linear Algebra [video]
  • I have done differential topology and geometry for a time in University. There is a lot of visualisation going on in every lecture every day, even if it is not computer visualization. Everything in difftop is drawn at some point, just so you can get …

    shezi on Hacker News · 2020-07
    In Sphere Eversion

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