prezjordanon Hacker News • Recommends
On “Graham's Number”
My brain melts every time I watch this video 1 from Numberphile on Graham's number. They also had another video 2 with Ron Graham himself :) 1: link to this video 2: link
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#grahamsnumber#knuthsup-arrownotation#largenumbers
Graham's Number - Numberphile
Numberphile
4.7M subscribers • 28 videos on Hallway
- Recommended by 4 people: 4 on Hacker News.
- A classic. People kept recommending it from 2015 to 2024.
- Presented by Tony Padilla and Matt Parker
Beginner. No background in the topic needed.
3M views14 years ago4 recommendations
Computer scienceMath for programmersComputation and complexity
Tony Padilla and Matt Parker explain the mind-bending scale of Graham's number and how Knuth's up-arrow notation is used to write it.
See our other Graham's Number videos: bit.ly/G_Number A number so epic it will collapse your brain into a black hole! Yet Tony Padilla and Matt Parker take the risk of discussing its magnitude. Watch with caution. More links & stuff in full description below ↓↓↓ See also our video about the Googol and Googolplex at: youtube.com/watch?v=8GEebx72-qs NUMBERPHILE Website: numberphile.com/ Numberphile on Facebook: facebook.com/numberphile Numberphile tweets: twitter.com/numberphile Subscribe: bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: patreon.com/numberphile Brady's videos subreddit: reddit.com/r/BradyHaran/ Brady's latest videos across all channels: bradyharanblog.com/ Sign up for (occasional) emails: eepurl.com/YdjL9 Numberphile T-Shirts: teespring.com/stores/numberphile Other merchandise: store.dftba.com/collections/numberphileWhy it's here
4 people recommend thisWhat people say. Recommended as an engaging and mind-bending explanation of extremely large numbers and Knuth's up-arrow notation.
jiggawattson Hacker News • Recommends
On “A Trial HIV Vaccine Triggered Elusive and Essential Antibodies in Humans”
If math can make you feel awe, you've got to watch the Numberphile series on very big numbers. They're constants used in proofs that are specific, well-defined integers known to be finite, but so huge that the physical universe does not have enough particles (or even Plank-scale microstates) in it to represent the number of digits these numbers have! Absolutely mind-bending stuff. Listed in increasing order: "Graham's Number" link to this video "How Big is Graham's Number? (feat Ron Graham)" link "The Enormous TREE(3)" link "TREE(3) (extra footage)" link "The Daddy of Big Numbers (Rayo's Number)" link
Ronsenshion Hacker News • Recommends
On “Graham's Number”
I love this video link by Sean Day9 Plott describing Graham's number very well. At least I found that description very easy to follow. Numberphile 1 too has a great explanation, but I still strongly recommend watching Day9 video because it tells a little bit of history and Sean is very expressive and good speaker so he easily engages viewer. 1 link to this video
johnsonjoon Hacker News • Recommends
On “Knuth's Up-Arrow Notation”
I've seen this notation in a video 1 on Graham's number 2 by Numberphile. It's a pretty interesting video for seeing how quickly the numbers get unimaginably massive. 1: link to this video 2: link
ColinDabritzon Hacker News • Mentions
On “Indescribable numbers: The theorem that made me fall in love with math”
Graham's number - for a while, the largest number used in a proof: link to this video There are faster growing sequences as well, see: link both fun as well. But busy beaver consumes them all.
Balgairon Hacker News • Mentions
On “Ray Kurzweil thinks we could start living forever by 2029”
10E65 if protons do decay. 10E(10E76) if protons do not decay and virtual black-holes do not exist. At about 10E(10E(10E56)) the universe should spontaneously create a new universe, so that that is the most upper limit of time in our universe. Fairly small actually, compared to things like Graham's number and Tree(3). Turns out, infinity is really big. link link to this video