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Maximiliano Portal
Worked at IGBMC
Attended Colegio del Salvador
Lives in Strasbourg
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Driving to infinity

A long time ago, before most of you showed up on Google+, I wrote a story about infinity.  It featured a character who was recruited by the US government to fight in the War on Chaos.  His mission was to explore larger and larger infinities.  

You can see that story in my "bigness" collection - lots of posts, each one its own little chapter.

But I keep wanting to talk about infinity - it's endlessly interesting!   I keep learning more about it.  Some posts here by +Refurio Anachro re-ignited my desire to write about it, and now I have.  Here's the first of three articles:

https://johncarlosbaez.wordpress.com/2016/06/29/large-countable-ordinals-part-1/

If you read this, you'll learn about the two basic kinds of infinities discovered by Cantor: cardinals and ordinals.   Then we'll go on a road trip through larger and larger ordinals.

The picture here shows some of the first ones we'll meet on our trip.  Omega, written ω, is the first infinite ordinal:

ω = {0,1,2,3,4,5,6,7,8,9,...}

Each turn of the spiral here takes you to a higher power of omega, and if you go around infinitely many times, you reach omega to the omegath power.   There are many ways to visualize this ordinal, and I explain a few. 

But my road trip will take you much further than that!

In this first episode, we reach an ordinal called epsilon nought, first discovered by Cantor.  In the second episode we'll go up the Feferman–Schütte ordinal.  In the third we'll reach the small Veblen ordinal and even catch a glimpse of the large Veblen ordinal.

All these are countable ordinals, and you can write computer programs to calculate with them, so I consider them just as concrete as the square root of 2.  And yet, they're quite mind-blowing.

#bigness  
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Precious Moment
"Well, I think you have a fever."
photo by KittyKono
P e n n s y l v a n i a ,  U S

(2048 x 1366)

Copyright © 2015 – Kitty Kono

#Animals  #Squirrels  #PA  
#Wildlife  #BabySquirrels
#Nature  #precious  #bokeh
#EasternCollegePond  #cute 
#humor  #outdoor  #tree-knot    
#KittyRileyKono  #explore

Location: Eastern University,
Pennsylvania, US

Uploaded: November 18, 2015

Camera Data
Camera: Nikon D4
Lens: AF-S VR Nikkor;
600mm f/4G ED.
Aperture: ƒ/11.0
Exposure: 1/640 s
Focal Length: 600.0 mm
ISO Speed: 2800
Flash: Off, did not fire

© Kitty Kono's website: 
https://goo.gl/Rt0XBt

 Image: 1909
Precious Moment by Kitty Kono
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Doctoral dissertation in graphic novel form.
Columbia University awarded a doctorate in education to Nick Sousanis for Unflattening, a graphic novel about the relationship between words and pictures in literature.
http://spinweaveandcut.com/unflattening/
http://spinweaveandcut.com/unflattening-excerpt/
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Quotable - Bertrand Russell, born 18 May 1872, died 2 February 1970. Read more here: bit.ly/1vmAwN1
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First comes smiles, then lies... Last is gunfire
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  • Colegio del Salvador
    1996
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