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

Be the first to comment