Shared April 9, 2016
my twitter: @tweetsauce
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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_o...
The biggest number: https://goo.gl/maps/7GWcpnzo7iG2
Fovant badges: https://en.wikipedia.org/wiki/Fovant_...
Battalion Park: https://en.wikipedia.org/wiki/Battali...
A mile of pi [VIDEO]: https://www.youtube.com/watch?v=0r3cE...
Wikipedia’s great visualization of ordinals out to omega^omega: https://en.wikipedia.org/wiki/File:Om...
as seen on: https://en.wikipedia.org/wiki/Ordinal...
this is also a good page about ordinals: http://math.wikia.com/wiki/Ordinal_Nu...
and: https://en.wikipedia.org/wiki/Order_type and https://en.wikipedia.org/wiki/Well-order
THE UNREASONABLE EFFECTIVENSS OF MATHEMATICS IN THE NATURAL SCIENCES
Large Cardinal game based on 2048: http://cantorontheshore.blogspot.it/2...
Other good resources:
How Hot Can It Get?
Is It Okay to Touch Mars?
What Does Earth Look Like?
Surviving The Deadliest Game
How Many Photos Have Been Taken?
The Leaning Tower of Lire
Hilbert's Curve: Is infinite math useful?
Why Everything You Thought You Knew About Quantum Physics is Different - with Philip Ball
Faster than a calculator | Arthur Benjamin | TEDxOxford
5 "Impossible" Things That Can Happen On Other Planets
Perfect Shapes in Higher Dimensions - Numberphile
What Is The Speed of Dark?
Is Your Red The Same as My Red?
Which Way Is Down?
A Game You Can Always Win
How Earth Moves
The things you'll find in higher dimensions
The Infinite Hotel Paradox - Jeff Dekofsky