Extremely Large Numbers 1 - Introduction
Giroux Studios2 HN recommenders · recommended in 2 months, 2016-2022
20K views · 11 years ago · explainer · evergreen
The first video in a series on extremely large numbers, introducing the topic with examples. Later parts go deep into the fast-growing hierarchy.
Recommended in large-number threads as going further than other popular videos on Graham's number and ordinals.
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3 comments from Hacker News
For real, learn to abuse youtube and twitter algo's. I get random suggestions like this: ▶ this video Math and art are thing I like, just keep hard blocking stuff you don't like and upvote stuff you do.
> David Metzler's series "Ridiculously Huge Numbers"[1] is a good introduction to this. It goes rather well beyond puny little integers like Graham's number. Yes, David Metzler's series is great and, I would say, essential viewing if your interest in large numbers is piqued. While he doesn't go through some of the big numbers talked about her (TREE(3), SCG(13), etc), he gives an excellent explanation of the fast-growing hierarchy. This is really the closest thing we have to a 'standardized' way of comparing the sizes of very large numbers. I would also recommend Giroux Studios' 'Extremely Large Numbers'[1], which takes a similar style to Metzler's videos and goes further with the fast-growing hierarchy. (Does something called 'infinite collapsing functions' sound interesting...?) [1] ▶ this video
Recently watched the Extremly large numbers [1] youtube series, which nicely complements Baez's series with examples. (Quick follow up question, as far as I understand, there should be a way to understand large cardinals as recursion, so I wonder if there is a (ultra-) finitist account of large cardinals.) [1] ▶ this video