Comment on He's gonna be walking for a little bit

yesman@lemmy.world ⁨5⁩ ⁨weeks⁩ ago

• salarua@sopuli.xyz ⁨5⁩ ⁨weeks⁩ ago

  TREE is an extremely fast-growing function in set theory. TREE(1) equals 1, TREE(2) equals 3, and TREE(3) equals a number so large that its lower bound easily dwarfs Graham’s Number.

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  • prettybunnys@sh.itjust.works ⁨5⁩ ⁨weeks⁩ ago

    its lower bound easily dwarfs Graham’s Number.

    Yo you don’t gotta throw shade on Grahams number like that, it’s doing its best

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  • Hupf@feddit.org ⁨5⁩ ⁨weeks⁩ ago

    Well, that escalated quickly.

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• teft@lemmy.world ⁨5⁩ ⁨weeks⁩ ago

  Yes, TREE(3) is larger than a googolplex or even graham’s number.

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  • koper@feddit.nl ⁨5⁩ ⁨weeks⁩ ago

    Why do I always feel like I need a PhD to understand even the first paragraph of Wikipedia articles about math. Is that just me?

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    • match@pawb.social ⁨5⁩ ⁨weeks⁩ ago

      yeah where’s the Simple English Wikipedia article for Graham’s number

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      • Klear@lemmy.world ⁨5⁩ ⁨weeks⁩ ago

        Graham’s number is big. You just won’t believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it’s a long way down the road to the chemist’s, but that’s just peanuts to Graham’s number.

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  • Gork@lemm.ee ⁨5⁩ ⁨weeks⁩ ago

    What about our friend TREE(Graham’s Number)

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    • teft@lemmy.world ⁨5⁩ ⁨weeks⁩ ago

      Numberphile did a video on TREE(g~64~) so you gotta go bigger.

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    • lugal@lemmy.dbzer0.com ⁨5⁩ ⁨weeks⁩ ago

      Haven’t seen them in a while. Hope they’re doing well

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  • bdonvr@thelemmy.club ⁨5⁩ ⁨weeks⁩ ago

    That article is not comprehensible to most people

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    • teft@lemmy.world ⁨5⁩ ⁨weeks⁩ ago

      www.youtube.com/watch?v=3P6DWAwwViU

      Here is a Numberphile video that describes how large a number we are talking.

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      • bdonvr@thelemmy.club ⁨5⁩ ⁨weeks⁩ ago

        Thanks, I get it now!

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    • Thedogdrinkscoffee@lemmy.ca ⁨5⁩ ⁨weeks⁩ ago

      I am one of them. I still can’t get past the Hotel paradox. To me an infinite number of guests cancels out an infinite number of rooms.

      Infinite guests = infinite rooms Infinity + n = infinity To say the bus of unbound guests could just move into infinite rooms seems to give a property of rooms without limit that is not shared with the original infinite guests.

      The original premize states the hotel is full. Because the only thing that matches infinite rooms are infinite guests.

      Apparently I am very stupid. My sister was right all along.

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      • ftbd@feddit.org ⁨5⁩ ⁨weeks⁩ ago

        There are different “kinds” of infinity. For example, there is an infinite amount of natural numbers, and there is an infinite amount of real numbers. Still, natural numbers only make up a tiny part of real numbers, so while both are infinite, the set of real numbers is bigger. Hilbert’s Hotel is an analogy meant to convey how to deal with these different notions of infinity.

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      • bdonvr@thelemmy.club ⁨5⁩ ⁨weeks⁩ ago

        Infinite hotel has infinity guests. You have all the guests move down 10 rooms. Rooms 1-10 are now free. Zero to Infinity and 11 to infinity are equally infinity, since numbers extend into infinity.

        In the same manner if you have one sit of infinite guests occupy all the even numbered rooms, you will still have an infinite number of rooms open, because the set of all odd (and even) numbers extends infinitely. You could have the first set of infinite guests take each hundredth room (100, 200, 300, etc), then the next set take 99, 199, 299, etc. in that way you could fit 100 sets of infinite guests.

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      • Semjaza@lemmynsfw.com ⁨5⁩ ⁨weeks⁩ ago

        So, some infinities are bigger than others.

        How many numbers are there? An infinite number.

        How many even numbers are there? An infinite amount, but half the size of the first infinity.

        This is how there are empty rooms in the infinitely large hotel with infinite guests.

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