Giant numbers
Published 2024-07-06
All Comments (21)
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Several quick notes: Yes, I am aware of SSCG(3) and Rayo's number but I thought that the video would drag on a little. There are several minor errors with the visuals. Specifically at 3:19 where it says that 65536 is 2 tetrated to 5 rather than 2 tetrated to 4 and at 6:31 where it shows TREE(10^10) when I say "TREE(googol)" when it should show TREE(10^100) When talking about graham's number, I said that g0 was 3 hexated to 3 but actually that's g1 and g0 isn't really a thing. I excluded infinity because I intend to make another video covering exclusively infinities. Sorry about the music being a little too loud. Edit: Yes, everyone. I am writing a script for a sequel. You can stop mentioning SSCG(3), Rayo's number, BIG FOOT, the fast-growing hierarchy, etc...
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"we cannot meet giants, but we may glimpse them on the horizon, and bask in their radiance" is such a fire line
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Remember, every giant number in this video is closer to 0 than it is closer to infinity
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"hey you want TREE(3) chips" "what" and then they were crushed under the unfathomable mass of an impossible number of chips
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-Hello! Can I have f_10(10(↑10)10) Bottles of water, please. -Man, what are you talking about...
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You may have science on your side, but you'll never beat that one kid at the playground.
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Could I have TREE(3) croissants, please? Keep the change
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“Hey look, theres a TREE(3)” Tree?, i dont see any trees “no, TREE(3)” ohhhh.
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Now, Rayo's number is obviously big. But it's still less than the number of years until Nintendo announces a new F-Zero game.
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underrated channel...
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Amazing video, but the music was a little loud. Maybe lower it some. Awesome video, great explanation of TREE
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TREE(10000000): HAHAHA ∞: shut up
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I am learning so much math 💀
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I mean 1000000 isn't too hard to grasp as a 1920x1080 screen has a little over 2M pixels. But this video did make me realize how big a googol (as well as googolplex 'n googolplexian) actually is
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You just blow my mind. I’m glad I ran into your video ❤
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Rayo’s number gets mentioned a lot here, and I would like to bring up some fun properties of Rayo’s function used to construct such number The function grows linearly when the input value is small: with 10 first order set theory symbols you can write 1, with 30 you can write 2. Seems slow right? This is not the case however as it grows faster. By 300 you have the function growing at the rate of multiplication, by 340 you have it grow at the rate of exponentiation, and by 400 the rate becomes tetration. And we’re not talking about the actual value of Rayo’s function; no, this is just a lower bound. If I remember correctly, RAYO(380) is at least greater than 2^65536 By the time you reach 7400, Rayo’s function grows so fast that it is almost certainly possible that the value is greater than S(2^65536-1), S() is a function that is growing faster than ANY COMPUTABLE FUNCTION, faster than G, faster than Tree, and so on And Rayo’s number has the input set at a googol. The number would certainly be so big that the number would not only lose its meaning, but any number or symbols or machines that can enclose an iota of its being will certainly collapse into a black hole, for there isn’t close to enough information to store the concept of Rayo’s number
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TREE(3) JINXS that one kid, Tree(3)+1
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and still all those numbers are closer to 0 than ∞
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I smell UNDERRATED
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Wholly underrated... I expected it to have a couple of thousands of subscriber with all of those transitions and hooking me into thay content. Those demonstrations were also on point. I believe you'll have a very succesful career in YouTube in the near-future, given such pristine quality of work os assured. There are some mistakes here, you have mentioned them in the comments yourself, but, hey, people learn from mistakes. A master has made a multitude of more mistakes than the beginner has tried. You got this. Edit: Oh yeah, the music was fire too, very on-spot music that goes with the video.