Difference between revisions of "Upper attic"

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(strongly and weakly)
Line 17: Line 17:
 
* [[Vopenka|Vopěnka's principle]]
 
* [[Vopenka|Vopěnka's principle]]
 
* [[extendible]] cardinal, [[extendible|$\alpha$-extendible]] cardinal
 
* [[extendible]] cardinal, [[extendible|$\alpha$-extendible]] cardinal
 +
* [[Woodin|Woodin for strong compactness]]
 
<!--* [[grand reflection]] cardinal-->
 
<!--* [[grand reflection]] cardinal-->
 
* [[hypercompact]] cardinal
 
* [[hypercompact]] cardinal

Revision as of 10:01, 8 May 2019

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.