THE VIDEO SHELF · infinity and set theory
Infinity is bigger than you think - Numberphile
Numberphile's James Grime explains Cantor's result that some infinities are bigger than others, including why the reals outnumber the integers. It is a short, accessible introduction to countable and uncountable infinity.
Why HN readers recommended it
HN people recommend it as a clear introduction to different sizes of infinity that non-mathematicians can follow.
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
- infinity and set theory
- Format
- explainer
- Level
- intro
- HN recommenders in dataset
- 3
- HN mentions in dataset
- 5
- Recommendation years in dataset
- 2014–2022
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 teach high school math and science. I had a group of students do a mini-project around the question, "Is there anything bigger than infinity?" The core of the project was students watching this numberphile video [0], and recreating his reasoning on their own. That …
japhyr on Hacker News · 2014-12
In Almost all numbers contain the digit “3” [video]I like the numberphile series on youtube. I showed one in class where he explains how some infinities are bigger than others. My non-math-inclined students were able to follow it by watching several times, because they could see the entire process. They re-created the process …
japhyr on Hacker News · 2014-03
In LHC Physics Center bans Powerpoint, switches to whiteboard-only forumsYes, because if there were such a list then you could assign a 1-to-1 mapping (by list index) of each number between 0 and 1 to a whole number which would prove they have the same size. If it is impossible to have a complete …
cyphar on Hacker News · 2018-06
In Are real numbers really real?
Summaries, classifications and recommendation records are from the HackerTube source dataset. Read about this library and its limitations.