Current Events > CE mathematicians, is this a good way of describing the size of Graham's number?

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Josiah_Is_Back
12/29/19 4:11:56 PM
#1:


I was perusing a mathematics message board and some users were attempting to explain how unimaginably monstrous Graham's number really is. One of them posted something like this:

Take all of the Planck volumes in our observable universe and turn each of them into an identical universe. Then take all of the Planck volumes in all those universes and turn them into identical universes, as well. Repeat this a googolplex times and you're still not even close to Graham's number.

Because if that's true it's amazing.
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MedeaLysistrata
12/29/19 4:13:08 PM
#2:


What sense does extension correspond to?

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Josiah_Is_Back
12/29/19 4:18:09 PM
#3:


Wikipedia says

it is so large that the observable universe is far too small to contain an ordinary digital representation of Graham's number, assuming that each digit occupies one Planck volume, possibly the smallest measurable space. But even the number of digits in this digital representation of Graham's number would itself be a number so large that its digital representation cannot be represented in the observable universe. Nor even can the number of digits of that numberand so forth, for a number of times far exceeding the total number of Planck volumes in the observable universe.

WTF
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Aristoph
12/29/19 4:21:46 PM
#4:


Yeah, Graham's number is just insane.

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Accolon
12/29/19 4:24:48 PM
#5:


Graham's is honestly p small

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Josiah_Is_Back
12/29/19 4:26:53 PM
#6:


Accolon posted...
Graham's is honestly p small

The fact that it's dwarfed by TREE(3) is beyond comprehension
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Wewillrocku
12/29/19 4:29:37 PM
#7:


Josiah_Is_Back posted...
The fact that it's dwarfed by TREE(3) is beyond comprehension
lol, it beats me too

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Mega_Greninja
12/29/19 4:39:33 PM
#8:


I call bull
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Woodger
12/29/19 5:07:03 PM
#9:


It's big, it's kinda beyond the realm of multiplying plank volumes a googolplex times etc.

Consider how many 3s are being thrown about, and that with power towers, 3^3^3^3^3 is already bigger than a googolplex...

If you've got some time, this is one of the best attempts I've seen to explain its bigness:
https://waitbutwhy.com/2014/11/1000000-grahams-number.html
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