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How An Infinite Hotel Ran Out Of Room

92 videos recommended on HN
YouTube
1 HN user recommended this explainer1 month2021–2022 score 1.5
Years with an HN recommendation, 2007–2026

HN mentions it as a related, well-made Veritasium video when infinity and Hilbert's hotel come up.

Veritasium shows how Hilbert's infinite hotel can still run out of room, using infinite buses of guests. It explains the surprising answer in a short animated segment.

1 strong recommendations · 3 citations · Explainers

4 Hacker News comments

From the HN archive; up to 20 kept per video, favoring different commenters. Recommendations first.

@travisgriggs Nov 2021 Strongly recommends
on HN thread How imaginary numbers were invented [video]
I love Veritasium. Derek has done a number of videos that are awesome like this. The videos are great and educational, but he also manages to subtly weave in an almost spiritual subtext to them as well. For example, in this one, you learn about imaginary numbers in some cool ways, history, how awesome e^ix is, etc, but also this yen-yang balance between embracing not only what is real but taking a chance on what is imaginary. Some of my other favorites: - [link] - [link] - [this video] - [link] - [link] I think he’s going to lose the $10,000 bet on the car though.
Listed among favorite Veritasium videos.

Citations, criticism and jokes

@shagie Jun 2021 Cites it
on HN thread Hilbert's Paradox of the Grand Hotel
This was a pair of videos in Veritasium recently - How An Infinite Hotel Ran Out Of Room - [this video] and Math Has a Fatal Flaw - [link] .
Related Veritasium video on infinite hotel.
@CompMan411 Jul 2021 Cites it
on HN thread What is the Axiom of Choice?
Veritasium describes a similar situation (not the AOC); a hotel that has infinite rooms and what happens when an infinite number of buses each with an infinite number of guests pulls up. [this video]
Infinite hotel with infinite buses of guests.
@MetricExpansion Jan 2022 Cites it
on HN thread The Shameful Decline of Scientific American
Read more
Pithy, but I’d actually argue the opposite. As someone who consumes quite a bit of science content on YouTube, it’s actually quite jarring to go back to traditional TV science shows. It feels a lot less information dense and more time-wasting. An interesting example is when Veritasium, who normally does the usual YouTube science content, got some big budget funding for one video [1] and produced it in a style more like what you’d see on TV. It was striking how there was so much filler and dramatization to try to make it interesting, and the whole thing felt dumbed down compared to his usual content, for example [2], which is deeper and relatively information-dense. And there are channels like PBS Spacetime which go far, far beyond anything I’ve ever seen in any media aimed at a general audience [3]. [1] [link] [2] [this video] [3] [link]
Example of Veritasium's usual deeper, information-dense content.

Video list and Hacker News comment labels from HackerTube (prompted by @karpathy), released under ODC-By 1.0, built on the open-index/hacker-news archive. Hacker News data is provided by Y Combinator; comments remain the work of their authors. Video titles, channel names and thumbnails belong to their creators and are shown via YouTube. HackerTube Watch is an unofficial edition. Data export of 2026-10-31.

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