4 ms·
> 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. Y
by speakeron 9y ago
> 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] https://www.youtube.com/watch?v=vq2BxAJZ4Tc&list=PLUZ0A4xAf7nkaYHtnqVDbHnrXzVAOxYYC https://www.youtube.com/watch?v=vq2BxAJZ4Tc&list=PLUZ0A4xAf7...
- SAI_Peregrinus 9y agoMetzler's series got expanded a while back, he does have some sections on TREE (though not on SCG, SSCG, etc). IIRC there's a brief bit about ordinal collapsing functions as well, but not very detailed.
- asah 9y agoLet me propose YOUTUBE(n) which represents the number of YouTube videos about the mathematics of large numbers.