Difference between revisions of "Upper attic"

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* [[inaccessible#Weakly inaccessible cardinal|weakly inaccessible]] cardinal, (strongly) '''[[inaccessible]]''' cardinal
 
* [[inaccessible#Weakly inaccessible cardinal|weakly inaccessible]] cardinal, (strongly) '''[[inaccessible]]''' cardinal
 
* [[Morse-Kelley set theory|Morse-Kelley]] set theory
 
* [[Morse-Kelley set theory|Morse-Kelley]] set theory
 +
* [[otherworldly]] cardinals
 
* '''[[worldly]]''' cardinal and the [[worldly#Degrees of worldliness|$\alpha$-wordly]] hierarchy, [[worldly#Degrees of worldliness|hyper-worldly]] cardinal
 
* '''[[worldly]]''' cardinal and the [[worldly#Degrees of worldliness|$\alpha$-wordly]] hierarchy, [[worldly#Degrees of worldliness|hyper-worldly]] cardinal
 
* the [[Transitive ZFC model#Transitive model universe axiom|transitive model universe axiom]]  
 
* the [[Transitive ZFC model#Transitive model universe axiom|transitive model universe axiom]]  

Revision as of 12:46, 1 July 2022

Cape Pogue Lighthouse photo by Timothy Valentine

Welcome to the upper attic, the transfinite realm of large cardinals, the higher infinite, carrying us upward from the merely inaccessible and indescribable to the subtle and endlessly extendible concepts beyond, towards the calamity of inconsistency.