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 AlgebraOther 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.