okketon Hacker News • Recommends
On “Life on the Infinite Farm [pdf]”
#infinity#cantor#transfinitenumbers
25M subscribers • 3 videos on Hallway
Beginner. No background in the topic needed.
29M views10 years ago6 recommendations
Computer scienceComputation and complexityMath for programmers
Michael Stevens explains transfinite numbers, ordinals, and cardinals, exploring different sizes of infinity.
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 resources directly to growing science channels here on YouTube! curiositybox.com 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: 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]: 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: 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 reddit.com/r/askscience/comments/30xokb/have_there_been_axio… philosophy.stackexchange.com/questions/5922/what-is-the-diff… cs.umd.edu/~gasarch/BLOGPAPERS/belaxioms1.pdf cs.umd.edu/~gasarch/BLOGPAPERS/belaxioms2.pdfWhat people say. Highly recommended as an approachable and mind-bending explanation of mathematical infinity.
okketon Hacker News • Recommends
On “Life on the Infinite Farm [pdf]”
okketon Hacker News • Recommends
On “The Man Who Knew Infinity”
lasfteron Hacker News • Recommends
On “What I learned as a hired consultant to autodidact physicists”
cjslepon Hacker News • Recommends
On “Mathematicians Measure Infinities, Find They’re Equal”
hawktheslayeron Hacker News • Recommends
On “Ask HN: What are fun entertaining YouTube channels/videos you watch in free time?”
swfsqlon Hacker News • Recommends
On “How to explain infinity to kids”
teh_klevon Hacker News • Recommends
On “Absolute Hot”
okketon Hacker News • Mentions
On “Mathematicians Bridge Finite-Infinite Divide”
x3n0ph3n3on Hacker News • Mentions
On “TREE vs. Graham’s Number [video]”
yamrzouon Hacker News • Mentions
On “The Axiom of Infinity”