Quest To Find The Largest Number
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You may have heard of some famous large numbers like Graham's Number or TREE(3) but I go way beyond that to find the largest number that could fit in a small space; an SMS text message or tweet.
Some googology and lambda examples from this video were hard to find, here are some resources to help if you're interested in researching further:
Lambda Diagrams: tromp.github.io/cl/diagrams.html
Binary Lambda Calculus: tromp.github.io/cl/Binary_lam...
Melo's Number: codegolf.stackexchange.com/a/...
Buchholz Ordinal Algorithm: codegolf.stackexchange.com/a/...
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@sirpootsman1048 21 күн бұрын
90 is a pretty big number
@seto007 21 күн бұрын
TREE(3) gonna be shaking in their boots when TREE(4) walks in
@soreg666alex 21 күн бұрын
Please don't make Lambda calculus into a game lol
@Baddexample16 21 күн бұрын
I mean, it's gotta be at least 3
@daniel_77. 21 күн бұрын
"Whatever you say plus one 🤪"
@a-love-supreme 21 күн бұрын
it's wild how infinite chess prepares you for this
@TrissTheFirst 21 күн бұрын
Didn’t know Jontron was into Lambda Diagrams
@jblen 21 күн бұрын
When I was 10 I said I wanted to be a googologist but I became a computer scientist instead. I'm happy with the choice I made but man big numbers are cool
@MrCheeze 21 күн бұрын
Note that the "must include instructions to compute its value" makes a very big difference. There is a sequence called the Busy Beaver which is a well-defined sequence of finite integers, but that is proven to grow large faster than ANY sequence of numbers that can be computed. So, for example, the number BB(11111) is certainly much bigger than the Buchholz Ordinal - but (despite it being a specific integer) there is almost certainly no way to prove what its exact value is. For more info, check Scott Aaronson's classic essay "Who Can Name the Bigger Number?"
@voidnull9438 21 күн бұрын
Probably more than 7 tbh
@cynthiaclementine4757 21 күн бұрын
"Let's choose something universal, that even aliens could understand!"
@Xeare204 21 күн бұрын
6:10
@orthoplex64 21 күн бұрын
"We should include all the necessary instructions to actually generate the number for it to count."
@felicitygray7811 21 күн бұрын
the funniest part of this video is the fact that the people who jokingly in the comments go "ahaha what you said + 1 😜" are actually exactly right and in fact, the solution to the question involves the maximal amount of that exact annoying instinct
@kidredglow2060 14 күн бұрын
End of sponsored segment:
@sevret313 14 күн бұрын
7:40
@GDnobrain
What is a big number?
@SuperStingray 21 күн бұрын
I've seen a lot of videos on big numbers, but it was really cool to see how they can be encoded in smaller and smaller ways.
@Ivorforce 21 күн бұрын
I once delved into this very briefly, and the coolest notation I found was conway's chained arrow notation.
@nocturne6320 21 күн бұрын
>let's not use a programming language to define the number
Nikita Zdradovskiy
Рет қаралды 7 МЛН