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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 forums
  • Yes, 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.