Graham's Number Escalates Quickly - Numberphile

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Note from Brady: In a previous video I "under explained" the true magnitude of Graham's Number. This is because my brain is small. Apologies to Professor Graham who has a big brain and unsurprisingly explained his number flawlessly. This video is designed as a correction that can also stand alone. It will be our last Graham's Number video (for a little while, at least!)

With thanks to Simon Pampena and Mike Lawler.

NUMBERPHILE

Videos by Brady Haran

[ligleaper]

I wrote a letter to Mister Graham and he told me to look him up and call him. I found his number but it's gonna take a while to dial.

[IgorKovacs]

It's funny how, no matters how many videos i've seen about Graham number, it's always interesting and mind blowing. Thanks, Brady

[numberphile]

In a previous video I "under explained" the true magnitude of Graham's Number. This is because my brain is small. Apologies to Professor Graham who has a big brain and unsurprisingly explained his number flawlessly. This video is designed as a correction that can also stand alone. It will be our last Graham's Number video (for a little while, at least!)

[DyllonStejGaming]

Any online calculator that I try just lists the triple arrow as infinity...

*And that's just the third arrow.*

[AskiFin]

“Philosophy is a game with objectives and no rules. Mathematics is a game with rules and no objectives.”

[depenthene]

This is the best explanation I have seen. Maybe because it is explained to normal people, not to math genius.

[darshanpala]

Hey Brady! I know you don't consider yourself to be a great teacher, but this is so far the best explanation of Graham's number you have put up so far. :)

[IMortage]

You are trying to make Graham's Number of videos about Graham's number, right?

[xxFortunadoxx]

It truly is stunning just how massive G2 is from G1.

[edancoll]

Exponentiation is repeated multiplication. Tetration is repeated exponentiation. Penetration is repeated tetration.
Intercourse is repeated penetration.

[sebyiuga]

I don't know why everyone's complaining about this video. I think it was a great compacted summary of the Graham's Number series, and having it in a prepared format made it, at least to me, finally sink in.

[DonkeyHopper]

This is the best video on Graham's Number by Numberphile. The earlier Graham's Number videos of Numberphile had been a bit confusing. Thanks... Thank you very much...!!!

[Izandaia]

Finally, a video explaining how arrow notation actually works.

[unclvinny]

You like making Graham's Number videos *almost* as much as I like watching them. :-)

[ozmaphase]

Ever since I was a child I have been obsessed with gigantic, ridiculous numbers, so every time I see Graham's number in the title, I must watch the video immediately. I love your channel!

[rlt]

Graham's Number is truly my favorite number, by the time you get to G2 the number of arrows in-between numbers is already greater that what you could fit in the entire Universe (even if 1 arrow was only 1 planck length in size) and from there it just escalates beyond any of our comprehension.  It is really the largest number that I understand the reasoning behind (as opposed to just a really large number).

[txikitofandango]

I'm happy you guys finally used an example for double-arrows where the second number is NOT 3.

[dsvaisakh]

You mark a scale from 0 to 100 where 100 is infinity, Graham's Number still be very close to zero.

[lukebarker]

I personally LOVE the Graham's number videos. Although just TRYING to comprehend the size of that thing makes my head want to turn into a black hole. Great video once again!

[KazimirQG]

Thank you so much, Brady. I hadn't understand well when Ron Graham explained, but you made an excellent work. Very clear and fluid explanation. Comparing with number 10 made it much more clear to me. Keep doing this great job!