How To Count Past Infinity

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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: https://ift.tt/1Vdif3T
“Infinity and The Mind” by Rudy Rucker: https://ift.tt/1SmQTkB
“Roads to Infinity” by John C. Stilwell: https://ift.tt/1VdicFc
“More Precisely: The Math You Need to Do Philosophy” by Eric Steinhart: https://ift.tt/1SmQTkE
“Satan, Cantor and Infinity: Mind-Boggling Puzzles” by Raymond M. Smullyan: https://ift.tt/1Vdifk9

classic book that helps introduce concept of axioms: “Introduction to the Foundations of Mathematics” by Raymond L. Wilder: https://ift.tt/1SmQRcr

Hugh Woodin speaking about infinity at the World Science Festival: https://youtu.be/KDCJZ81PwVM?t=29m45s

Names of large (finite) numbers: https://ift.tt/1bOdxUF

Geoglyphs:

The biggest number: https://goo.gl/maps/7GWcpnzo7iG2

Fovant badges: https://ift.tt/1VdicVy

Battalion Park: https://ift.tt/1SmQTkP

A mile of pi [VIDEO]: https://www.youtube.com/watch?v=0r3cEKZiLmg

Wikipedia’s great visualization of ordinals out to omega^omega: https://ift.tt/1Vdifkj

as seen on: https://ift.tt/1KCjQaI

this is also a good page about ordinals: https://ift.tt/1VdicVG

also: https://ift.tt/1SmQRcx

and: https://ift.tt/1Vdifkp and https://ift.tt/1SmQTB9

Axioms:
https://ift.tt/1M8PZIM

Have there been axioms that later have been proven false? from askscience

https://ift.tt/1VdifAF
https://ift.tt/1sLqlOJ
https://ift.tt/1VdifAK

THE UNREASONABLE EFFECTIVENSS OF MATHEMATICS IN THE NATURAL SCIENCES
[PDF]: https://ift.tt/1SmQTBd
https://ift.tt/1rDTT1w

Large Cardinal game based on 2048: https://ift.tt/1SmQTBg

Other good resources:

https://ift.tt/1VdifAN
https://ift.tt/1v2y7Zx
https://ift.tt/1VdifAP
https://ift.tt/1SmQRcF
https://ift.tt/1EXZWZF
The Lesser of Infinitely Many Evils

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