Difference between revisions of "Upper attic"

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(ineffable (=normal $0$-Ramsey)!)
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* [[ineffable#Helix|the $n$-subtle, $n$-almost ineffable, $n$-ineffable cardinals' hierarchy]]
 
* [[ineffable#Helix|the $n$-subtle, $n$-almost ineffable, $n$-ineffable cardinals' hierarchy]]
 
* [[Ramsey|$n$-Ramsey]], [[Ramsey|genuine $n$-Ramsey]], [[Ramsey|normal $n$-Ramsey]], [[Ramsey|$<\omega$-Ramsey]] cardinals
 
* [[Ramsey|$n$-Ramsey]], [[Ramsey|genuine $n$-Ramsey]], [[Ramsey|normal $n$-Ramsey]], [[Ramsey|$<\omega$-Ramsey]] cardinals
* [[weakly ineffable]] (=almost ineffable=genuine $0$-[[Ramsey]]) cardinal, [[ineffable]] (=genuine $0$-[[Ramsey]]) cardinal
+
* [[weakly ineffable]] (=almost ineffable=genuine $0$-[[Ramsey]]) cardinal, [[ineffable]] (=normal $0$-[[Ramsey]]) cardinal
 
* [[subtle]] cardinal
 
* [[subtle]] cardinal
 
* [[ineffable#Ethereal cardinal|ethereal]] cardinal
 
* [[ineffable#Ethereal cardinal|ethereal]] cardinal

Revision as of 01:00, 6 July 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.