Difference between revisions of "Lower attic"

From Cantor's Attic
Jump to: navigation, search
(the Takeuti-Feferman-Buchholz ordinal)
 
(One intermediate revision by one other user not shown)
Line 1: Line 1:
 
{{DISPLAYTITLE: The lower attic}}
 
{{DISPLAYTITLE: The lower attic}}
 
[[File:SagradaSpiralByDavidNikonvscanon.jpg | thumb | Sagrada Spiral photo by David Nikonvscanon]]
 
[[File:SagradaSpiralByDavidNikonvscanon.jpg | thumb | Sagrada Spiral photo by David Nikonvscanon]]
 +
[[Category:Lower attic]]
  
 
Welcome to the lower attic, where the countably infinite ordinals climb ever higher, one upon another, in an eternal self-similar reflecting ascent.
 
Welcome to the lower attic, where the countably infinite ordinals climb ever higher, one upon another, in an eternal self-similar reflecting ascent.
Line 16: Line 17:
 
** [[omega one chess| $\omega_1^{\mathfrak{Ch},c}$]] = the supremum of the game values for white of the computable positions in infinite chess  
 
** [[omega one chess| $\omega_1^{\mathfrak{Ch},c}$]] = the supremum of the game values for white of the computable positions in infinite chess  
 
** [[omega one chess| $\omega_1^{\mathfrak{Ch}}$]] = the supremum of the game values for white of the finite positions in infinite chess
 
** [[omega one chess| $\omega_1^{\mathfrak{Ch}}$]] = the supremum of the game values for white of the finite positions in infinite chess
 +
* the [[Buchholz's ψ functions#Takeuti-Feferman-Buchholz ordinal|Takeuti-Feferman-Buchholz]] ordinal
 
* the [[Madore's ψ function#Bachmann-Howard ordinal|Bachmann-Howard]] ordinal
 
* the [[Madore's ψ function#Bachmann-Howard ordinal|Bachmann-Howard]] ordinal
 
* the [[Madore's ψ function#Large Veblen ordinal|large Veblen]] ordinal
 
* the [[Madore's ψ function#Large Veblen ordinal|large Veblen]] ordinal

Latest revision as of 13:37, 27 May 2018

Sagrada Spiral photo by David Nikonvscanon

Welcome to the lower attic, where the countably infinite ordinals climb ever higher, one upon another, in an eternal self-similar reflecting ascent.