Hi guys, Welcome to the Advanced Video Search Engine, and you are watching The Largest Numbers Ever Discovered // The Bizarre World of Googology. That video is uploaded by Dr. Trefor Bazett at 2021-10-21T07:59:20-07:00. We are promoting this video only for entertainment and educational purpose only. So, I hope you like & enjoy it. [yIdigLW07xY]
| Name | The Largest Numbers Ever Discovered // The Bizarre World of Googology |
| Video Uploader | Video From Dr. Trefor Bazett |
| Upload Date | This Video Uploaded At 21-10-2021 14:59:20 |
| Video Discription | Check out Brilliant ► https://brilliant.org/TreforBazett/ Learn math more effectively for free and the first 200 subscribers get 20% off an annual premium subscription. Thank you to Brilliant for sponsoring this video on unfathomably large numbers. Check out my MATH MERCH line in collaboration with Beautiful Equations ►https://www.beautifulequation.com/pages/trefor What is the biggest number in the universe? What is the biggest number that any human has ever conceived of, or used in a proof, or been able to write down? In this video we are going to explore the fascinating world of googology, the study of unbelievably big numbers. We will begin near the bottom with "tiny" number like a googol (10^100) and a googolplex (10^googol) before realizing we will really need to do introduce better notation. We will then see Knuth's up-arrow notation that let's us form power towers of numbers, repeated exponentiation called tetration that is much like how exponentiation is repeated multiplication and multiplication repeated addition. And it goes up and up from there! We will see Graham's number which infamously got the googology ball rolling when it was used as an upper bound for a problem in graph theory and finally we will the unimaginable Tree(3) which comes out of a simple to state problem in graph theory and amazingly results in this incredible number. You can check our Ron Graham himself introduce how Graham's number comes about over on Numerphile here: https://www.youtube.com/watch?v=HX8bihEe3nA. You might also like to check out the googology wiki here: https://googology.wikia.org/wiki/Googology_Wiki 0:00 Intro to Googology 1:13 Googol and Googolplex 2:40 Towers of Exponents 3:58 Knuth's up-arrow notation 9:00 Graham's Number 11:21 Tree(3) 18:18 Brilliant.org/treforbazett COURSE PLAYLISTS: ►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS ►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6 ►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m ► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n ►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd ►VECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa ►DIFFERENTIAL EQUATIONS: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw ►LAPLACE TRANSFORM: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1 ►GAME THEORY: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX OTHER PLAYLISTS: ► Learning Math Series https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw ►Cool Math Series: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho BECOME A MEMBER: ►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett SOCIALS: ►Twitter (math based): http://twitter.com/treforbazett ►Instagram (photography based): http://instagram.com/treforphotography yIdigLW07xY |
| Category | Education |
| Tags | Solution | Example | math | googology | biggest number in the world | biggest number in the universe | largest number in the world | knuth up arrow notation | power tower | tetration | pentation | graham's number | googol | googolplex | tree(3) | tree of 3 | graph theory | exponentiation | size of the universe | graham's number explained | ronald graham | size comparizon | rayo's number | what's the biggest number you could count to | biggest numbers ever |
