Peta, Yota, Infinitely Large, Inexplicable, Googolplex... A number so huge that giga or tera look like garbage is called a "giant number." Some are just big and have no mathematical meaning, just romantic, while others are huge numbers used in actual mathematical theorems and physics. In this video, I would like to introduce the world of gigantic numbers. I usually post videos explaining self-built PCs and videos about the history of computers (and Minecraft), but I decided to make this video because it was exactly three years since I posted the videos on 1000 and 1024, and I became interested in gigantic numbers, a field other than self-built PCs. This video may be difficult for beginners and insufficiently explanatory for serious players, but I hope that this video will spark your interest in gigantic numbers. *About "power" and "exponentiation" Power is an operation in which a certain number is multiplied a specified number of times, and corresponds to hyper3 in hyper arithmetic. (It's a very weak function in the world of huge numbers...) Exponentiation is an operation that extends the concept of power to real and complex numbers, rather than limiting it to positive integers, but in the world of huge numbers we usually deal with positive integers, so there are many cases where it doesn't matter if we replace exponentiation with exponentiation. *Not just this video, but the quality of the videos on this channel is generally low, and it's no wonder people say it's a video that just copies and pastes articles from Wiki and the like. However, there are many original parts, and I'm doing my best despite the low quality, so I hope you'll continue to support me. ■List0:00 Introduction0:58 Units used in computers2:43 SI prefixes3:30 Exponential notation4:56 Multiple exponential notation7:31 Tetration and hyper operations10:24 Knuth's arrow notation (tower notation)11:28 Pentation12:48 Hexation13:55 Ackermann function15:28 ⑨・Quizknock number16:59 Graham number20:44 Conway's chain notation23:10 Lauder number24:44 TREE sequence, subcubic graph number25:38 Impossibility level26:24 Rayo number27:29 Levels of googology28:12 Comparison of googology using exponential functions30:14 Googology around us33:21 Conclusion■Reference videos and pages・Googology Wiki https://googology.wikia.org/ja/wiki/%...・Proving that ⑨ ≠ stupid (Nico Nico Douga) https://www.nicovideo.jp/watch/nm1823... ・People who want to write big numbers on the cheques they receive (During a QuizKnock meeting) • People who want to write big numbers on the cheques they receive ・Graham's Number (Numberphile) • Graham's Number - Numberphile ・The Enormous TREE(3) (Numberphile) • The Enormous TREE(3) - Numberphile ・TREE sequence ~ The scary thing about TREE(3) ~ (Huge Number Channel) • TREE sequence ~ The scary thing about TREE(3) ~ ・Learning about huge numbers slowly, part 5 ~ Introduction to ordinal numbers ~ (Huge Number Channel) • Learning about huge numbers slowly, part 5 ~ Introduction to ordinal numbers ~ ・Is 1KB 1000 bytes? 1024 bytes? [Slowly] • Is 1KB 1000 bytes? 1024 bytes? [Yukkuri] Recommended works Googological Number Theory 2nd Edition (Fish) Googological Numbers (Suzuki Shinji) Gendai Shiso December 2019 issue Special feature: The world of googological numbers - from Archimedes to googology Sushi Void Edition (Kobayashi Dochu) #Yukkuri #Googological numbers