If you think you might have to watch this video a Graham's number of times to understand it, that's fair. It took me a while to get the process that leads to Graham's number, too. Tim Urban, who I've cited before in my episodes, has a decent explanation - https://waitbutwhy.com/2014/11/100000... - and there's a series of videos by Numberphile that do a good job: • Graham's Number - Numberphile
I'm not a math person so I'm honestly a little worried about putting out this video, lol. Please catch mistakes if there are any. Even though I ran it by a mathematician, there probably will be, and I'll pin a comment correcting myself. Hell, you can clearly hear some last-minute word-by-word audio rearranging I had to do when I was explaining Graham's - I said three when I meant four, and vice versa, a whole bunch of times, and the cuts and overdubs I had to do are extremely noticeable.
What's your favorite page on Googology Wiki? (All these pages are real)
Ascended throogol - / membership
Blistering blooshker bundle - / mrsluds
12-noogol (which is just their way of saying a trillion) - https://x.com/parsons_tor
Article count progress: We have reached 0% of our goal of 10^100 articles! - / tor.in.oregon
SOURCES & FURTHER INFO
This is the article that got me to originally decide to make this episode: https://www.scottaaronson.com/writing...
The brief wiki page for my grandfather and namesake, the original Tor Parsons, the mathematician: https://en.wikipedia.org/wiki/Torrenc...
Weirdly enough, he has a wiki page in Ukrainian that’s quite a bit more detailed, which baffles me because as far as I know, he had never been to Ukraine and had no ties to Ukraine. He did live in Slovenia for a while, back when it was part of Yugoslavia, but Yugoslavia and the USSR weren’t on good terms at that point. A mystery! Translate and enjoy. https://uk.wikipedia.org/wiki/Торренс...
Check out Dev Sinha’s own channel! / @devsinha7867
While this episode isn’t as thematically linked to my previous two - the last two were both about cult leaders who recruited followers from a minority group to a religion that somewhat resembled a major religion from a different part of the world, but was really its own thing, while this one is about math - there is a rather specific parallel between this episode and my Taiping Rebellion episode: Dr. Sinha is the only person I personally know (and, hell, the only person currently alive I’m aware of) who would be put to death under the Taiping Heavenly Kingdom for wearing his hair in a Manchu-style queue. No, he is not ethnically Manchu. He’s worn his hair that way for as long as I’ve known him and I think he’s just pragmatically doing what he can with his thinning hair. Please don’t ask him about his queue. Do ask him about math! He’s an extremely cool guy.
An article that groups large numbers into “superclasses”, which is an interesting concept: http://www.mrob.com/pub/math/largenum...
Last 16 million digits of Graham’s number (I warn you, it’s just a lotta numbers): https://ankokudan.org/d/dl/others/Gra...
The thought experiment I mentioned where all humanity gathers in the Australian Outback and tries to calculate Graham’s number, each functioning as single neurons in a vast brain, is called the “China brain hypothesis”, first theorized in a 1961 Russian short story called “The Game” (you just lost The Game) and brought to life, obviously on a much smaller scale, by Vsauce: • The Stilwell Brain
Autistic people’s ability to subitize (in general, not that great): https://pmc.ncbi.nlm.nih.gov/articles....
Criticism of Oliver Sacks’ claims about subitizing: https://empslocal.ex.ac.uk/people/sta...
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