How To Count Past Infinity



my twitter: @tweetsauce my instagram: electricpants Sources and links to learn more below! I’m very grateful to mathematician Hugh Woodin, Professor of Philosophy and Mathematics at Harvard, for taking the time on multiple occasions to discuss this topic with me and help me wrap my (finite) head around it. I’m also grateful to David Eisenbud, the Director of the Mathematical Sciences Research Institute (MSRI) and professor of mathematics at the University of California, Berkeley, for his help and for connecting me with Hugh Woodin. And of course, big thanks to Brady Haran who created the “mile of pi” seen in this video and connected me with all these mathematicians in the first place. His channel, Numberphile, is superb: https://www.youtube.com/user/numberphile BOOKS related to these topics that I used: “The Outer Limits of Reason” by Noson S. Yanofsky: http://amzn.com/0262019353 “Infinity and The Mind” by Rudy Rucker: http://amzn.com/0691121273 “Roads to Infinity” by John C. Stilwell: http://amzn.com/1568814666 “More Precisely: The Math You Need to Do Philosophy” by Eric Steinhart: http://amzn.com/1551119099 “Satan, Cantor and Infinity: Mind-Boggling Puzzles” by Raymond M. Smullyan: http://amzn.com/0486470369 classic book that helps introduce concept of axioms: “Introduction to the Foundations of Mathematics” by Raymond L. Wilder: http://amzn.com/0486488209 Hugh Woodin speaking about infinity at the World Science Festival: https://youtu.be/KDCJZ81PwVM?t=29m45s Names of large (finite) numbers: https://en.wikipedia.org/wiki/Names_of_large_numbers Geoglyphs: The biggest number: https://goo.gl/maps/7GWcpnzo7iG2 Fovant badges: https://en.wikipedia.org/wiki/Fovant_Badges Battalion Park: https://en.wikipedia.org/wiki/Battalion_Park A mile of pi [VIDEO]: https://www.youtube.com/watch?v=0r3cEKZiLmg Wikipedia’s great visualization of ordinals out to omega^omega: https://en.wikipedia.org/wiki/File:Omega-exp-omega-labeled.svg as seen on: https://en.wikipedia.org/wiki/Ordinal_number this is also a good page about ordinals: http://math.wikia.com/wiki/Ordinal_Number also: http://www.cut-the-knot.org/WhatIs/Infinity/Ordinals.shtml and: https://en.wikipedia.org/wiki/Order_type and https://en.wikipedia.org/wiki/Well-order Axioms: https://en.wikipedia.org/wiki/Axiom https://www.reddit.com/r/askscience/comments/30xokb/have_there_been_axioms_that_later_have_been/ http://philosophy.stackexchange.com/questions/5922/what-is-the-difference-between-dogma-and-an-axiom http://www.cs.umd.edu/~gasarch/BLOGPAPERS/belaxioms1.pdf http://www.cs.umd.edu/~gasarch/BLOGPAPERS/belaxioms2.pdf THE UNREASONABLE EFFECTIVENSS OF MATHEMATICS IN THE NATURAL SCIENCES [PDF]: http://www.maths.ed.ac.uk/~aar/papers/wigner.pdf https://en.wikipedia.org/wiki/The_Unreasonable_Effectiveness_of_Mathematics_in_the_Natural_Sciences Large Cardinal game based on 2048: http://cantorontheshore.blogspot.it/2014/10/one-reinhardt-and-counting.html Other good resources: http://quibb.blogspot.com/2012/01/infinity-first-transfinite-cardinal.html http://plato.stanford.edu/entries/set-theory/ http://cantorsattic.info/Cantor%27s_Attic http://cantorontheshore.blogspot.co.at/2014/09/artemis-fowl-and-large-cardinals_22.html http://isomorphism.es/post/10782081422/what-comes-after-infinity-transfinite-arithmetic-and-ord https://lukepalmer.wordpress.com/2007/06/14/the-lesser-of-infinitely-many-evils/ MUSIC BY: http://www.youtube.com/JakeChudnow http://www.audionetwork.com

Comments

  1. заебись,чётко))
  2. Every body can count over infinity look
    Infinity n 1 infinity n 2 see
  3. I am infinitely confused and I love it!
  4. 0 is not a natural number
    he should have said whole numbers
  5. who else saw cm punk's flag? 😅
  6. My poor Brain.............
  7. ∞+∞? I Don't Think So
  8. i shit myself
  9. ERROR: BRAIN.EXE DOES NOT COMPUTE. SHUTTING DOWN...
  10. All retards give a "thumbs down" to this video. There ought to be no surprise about that -- it is just a matter of the Bell curve.
  11. Learned more in this video than 3 years of math and science class combined
  12. Who votes Vsauce over their Math teacher,history teacer and science teacher...I do
  13. magic?
  14. But why do we call Aleph Null an infinite number if it isn't the last number because there is no last number because of the replacement? There is always a bigger number, so there is no infinite number nor a infinity... We can't count till the end, there is no end. And if there is no infinite number we can't speak about the plural of infinity, so there are no infinities/infinite numbers 🙄
    This is just a mind fuck, that's all 😂
  15. I solved the 8th23rd in the future , in a your dream . ;
  16. Me before I watch this video:
    infinity 1, infinity 2, infinity 3...
  17. Every (digit) 0=01which means infinity 1111111111111111111......
  18. infinity is considered a statement so that title is CLICKBAIT
  19. To infinity, and beyond!
  20. א lol


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