Difference between revisions of "Upper attic"

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* [[tall]] cardinal
 
* [[tall]] cardinal
 
* [[zero dagger| $0^\dagger$]]
 
* [[zero dagger| $0^\dagger$]]
* Nontrivial [[Mitchell order | Mitchell rank]], [[Mitchell order | $o(\kappa)=1$]], [[Mitchell order | $o(\kappa)=\kappa^{++}]]  
+
* Nontrivial [[Mitchell order | Mitchell rank]], [[Mitchell order | $o(\kappa)=1$]], [[Mitchell order | $o(\kappa)=\kappa^{++}$]]  
 
* [[measurable]] cardinal
 
* [[measurable]] cardinal
 
* [[weakly measurable]] cardinal
 
* [[weakly measurable]] cardinal

Revision as of 06:53, 6 January 2012

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.