Basic concepts in infinite set theory | Ordinal numbers | Cardinal numbers
In mathematics, transfinite numbers are numbers that are "infinite" in the sense that they are larger than all finite numbers, yet not necessarily absolutely infinite. These include the transfinite cardinals, which are cardinal numbers used to quantify the size of infinite sets, and the transfinite ordinals, which are ordinal numbers used to provide an ordering of infinite sets. The term transfinite was coined by Georg Cantor in 1895, who wished to avoid some of the implications of the word infinite in connection with these objects, which were, nevertheless, not finite. Few contemporary writers share these qualms; it is now accepted usage to refer to transfinite cardinals and ordinals as infinite numbers. Nevertheless, the term "transfinite" also remains in use. (Wikipedia).
1,010,010,101,000,011 - #MegaFavNumbers
This is my submission to the #megafavnumbers project. My number is 1010010101000011, which is prime in bases 2, 3, 4, 5, 6 and 10. I've open-sourced my code: https://bitbucket.org/Bip901/multibase-primes Clarification: by "ignoring 1" I mean ignoring base 1, since this number cannot be fo
From playlist MegaFavNumbers
Conversion Arcs and 2,916,485,648,612,232,232,816 (MegaFavNumbers)
I'm sorry. The MegaFavNumbers playlist: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo
From playlist MegaFavNumbers
An easy intro to prime numbers and composite numbers that MAKES SENSE. What are prime numbers? A prime number is a number that has exactly 2 factors: two and itself. What are composite numbers? A composite number is one which has two or more factors. What is the difference between a p
From playlist Indicies (Exponents) and Primes
#MegaFavNumbers - 7,588,043,387,109,376 by Egi
87,109,376^2=7,588,043,387,109,376. The last 8 digits is the square root😀, it's called an automorphic number which n^2 ends with n
From playlist MegaFavNumbers
How much time you'd need to find if this giant number is a prime or composite? | MegaFavNumbers
9999999999999999999999999999999991 is the hero of our video. And how a high school piece of knowledge can help find if this particular 34 digit number is prime or not, in a very short time! The beauty of math lies in its simplicity and seemingly unexpected connections among itself. #Mega
From playlist MegaFavNumbers
GCSE Maths: N4-05 [Prime Numbers]
https://www.buymeacoffee.com/TLMaths Navigate the playlist using this Google Doc: https://tinyurl.com/TLMathsGCSE Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me o
From playlist GCSE Maths: N4
Counting To Infinity And Beyond On A Chessboard
The numbers "infinity plus 1" and "infinity squared" sound like they are made up, but mathematicians do use such numbers in set theory. They are called transfinite ordinals and they arise in combinatorial game theory. This video demonstrates an example of a transfinite value from a special
From playlist Math Puzzles, Riddles And Brain Teasers
#MegaFavNumbers / Numberphile How To Count Past Infinity | Vsauce https://www.youtube.com/watch?v=SrU9YDoXE88 Ordinals vs Cardinals (and how many algebraic numbers are there?) | Stand-up Maths https://www.youtube.com/watch?v=pSSsZLTMDq0 Kill the Mathematical Hydra | Infinite Series htt
From playlist MegaFavNumbers
My MegaFavNumbers - GK's Numbers with Chained Prime Factors
#MegaFavNumbers 9890836489141547229675646151234 Chained Prime Factors {2, 23, 37, 71, 101, 131, 151, 181, 191, 193, 313, 353, 373, 383, 389} visit https://oeis.org/A308101 and https://oeis.org/A308099 for details #MegaFavNumbers
From playlist MegaFavNumbers
Rick Sommer - Knuth’s Up-Arrow into the Transfinite & Beyond! - G4G14 Apr 2022
Famous for its world-record status, Graham’s number has captured the imagination of recreational mathematicians ever since being introduced by Martin Gardner in Mathematical Recreations in 1977. Knuth’s up-arrow notation builds on a nifty recursion that is used to define Graham’s number, a
From playlist G4G14 Videos
History of Science and Technology Q&A (September 21, 2022)
Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram If you missed the original livestream of thi
From playlist Stephen Wolfram Ask Me Anything About Science & Technology
History of Science and Technology Q&A (June 2, 2021)
Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Originally livestreamed at: https://twitch.tv/stephen_wolfram/ Outline of Q&A 0:00 Stream starts 2:35 Stephen begins the stream 3:07 What appeared first in math, complex
From playlist Stephen Wolfram Ask Me Anything About Science & Technology
Support Vsauce, your brain, Alzheimer's research, and other YouTube educators by joining THE CURIOSITY BOX: a seasonal delivery of viral science toys made by Vsauce! A portion of all proceeds goes to Alzheimer's research and our Inquisitive Fellowship, a program that gives money and resour
From playlist Knowledge
This video covers the divisibility rules for 2,3,4,5,6,8,9,and 10. http://mathispower4u.yolasite.com/
From playlist Factors, Prime Factors, and Least Common Factors
History of Science and Technology Q&A (March 9, 2022)
Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram If you missed the original livestream of
From playlist Stephen Wolfram Ask Me Anything About Science & Technology
Kan Simplicial Set Model of Type Theory - Peter LeFanu Lumsdaine
Peter LeFanu Lumsdaine Dalhousie University; Member, School of Mathematics October 25, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
Wolfram Physics Project: Working Session Thursday, June 4, 2020 [New Emerging Understandings]
This is a Wolfram Physics Project working session on new emerging understandings in the Wolfram Model with general Q&A. Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcemen
From playlist Wolfram Physics Project Livestream Archive
Encoding with Prime Numbers and Second Ratios - #MegaFavNumbers
It's still Sept 2nd somewhere! I've been fascinated by Prime Numbers and sequences of prime numbers over the last 3 years or so. I've had two sequences approved for inclusion in the oeis.org related to prime numbers, https://oeis.org/A295746 and https://oeis.org/A295973 In this video, ins
From playlist MegaFavNumbers
Live CEOing Ep 589: Language Design in Wolfram Language [SystemException, CosineDistance & More]
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram
From playlist Behind the Scenes in Real-Life Software Design