How To Count Past Infinity

How To Count Past Infinity

∞ ∞
∞ ∞
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:

BOOKS related to these topics that I used:

“The Outer Limits of Reason” by Noson S. Yanofsky:
“Infinity and The Mind” by Rudy Rucker:
“Roads to Infinity” by John C. Stilwell:
“More Precisely: The Math You Need to Do Philosophy” by Eric Steinhart:
“Satan, Cantor and Infinity: Mind-Boggling Puzzles” by Raymond M. Smullyan:

classic book that helps introduce concept of axioms: “Introduction to the Foundations of Mathematics” by Raymond L. Wilder:

Hugh Woodin speaking about infinity at the World Science Festival:

Names of large (finite) numbers:


The biggest number:

Fovant badges:

Battalion Park:

A mile of pi [VIDEO]:

Wikipedia’s great visualization of ordinals out to omega^omega:

as seen on:

this is also a good page about ordinals:


and: and



Large Cardinal game based on 2048:

Other good resources:


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20 Responses

  1. Senvr11 says:

    what about infinite^2

  2. Karim Raya says:

    that feeling after u finish this kind of videos 😍😍😍😍

  3. Rocky Scape says:

    People are creating or chasing an end that never ends, and we don’t accept
    it until we see proof or an end, but for infinity there is none, its just a
    flaw in the number system, think you found the end? Just add 1 to it.

  4. Evan Goldsmith says:

    You pronounce alef wrong

  5. MERK SKYDIVER says:

    on 1 and 2 you mist 21

  6. Guitarfollower22 says:

    Not sure if his videos make me smarter or if each video makes my brain
    closer to exploding.

  7. boco65 says:

    i didnt understand this one even more than i usually dont understand these

  8. AlarmClock65 says:

    This is one of your best videos yet. You explain everything perfectly
    without dumbing anything down and just make it so fascinating. And as
    always, thanks for filming.

  9. rohitvk68 says:

    At 2:58 — 0 isn’t a Natural Number :)

  10. Dave Niz says:

    This is great because I’ll finally have a comeback next time my girlfriend
    says she loves me times infinity

  11. goyabee says:

    This video triggers me.

  12. laswin10 says:

    For those who havent watched the video yet and is looking at comments…..

    infinity one…
    infinity two…
    infinity three…

  13. Ernestas Liekis says:

    I think you should have θ amount of subscribers

  14. Cursed_ Gamer says:

    My brain is smoking.

  15. David King says:

    Now, I believe that mathematicians are mad with boredom

  16. Golden Hair says:

    The Continuum Hypothesis (CH) was shown by Gödel to be consistent with set
    theory (with or without axiom of choice (AC)). Later, Paul Cohen showed
    the negation of the CH to be consistent with set theory (with or without
    AC). So CH can be taken as an axiom. Or not. Your choice. You get then
    to develop the consequences and see if like them. Or not.

  17. Gameren9000 says:

    what about the Grahams Number?

  18. ruza esp says:

    omega + infinity?

  19. GoErikTheRed says:

    Graham’s number remains the largest number used constructively in a proof.

  20. This Kid says:

    Can he be my math teacher please.