Difference between revisions of "Upper attic"

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* The [[Kunen inconsistency]]
 
* The [[Kunen inconsistency]]
 
* [[Berkeley]] cardinal
 
* [[Berkeley]] cardinal
* [[Reinhardt]] cardinal
+
* [[Reinhardt | super Reinhardt]] cardinal, [[Reinhardt]] cardinal
 
* [[L of V_lambda+1 | $j:L(V_{\lambda+1})\to L(V_{\lambda+1})$]]
 
* [[L of V_lambda+1 | $j:L(V_{\lambda+1})\to L(V_{\lambda+1})$]]
 
* [[rank+1 into rank+1]] cardinal $j:V_{\lambda+1}\to V_{\lambda+1}$  
 
* [[rank+1 into rank+1]] cardinal $j:V_{\lambda+1}\to V_{\lambda+1}$  

Revision as of 14:38, 2 October 2014

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.