Difference between revisions of "Upper attic"

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Line 34: Line 34:
 
* [[Ramsey]] cardinal
 
* [[Ramsey]] cardinal
 
* [[Rowbottom]] cardinal
 
* [[Rowbottom]] cardinal
* [[Jónsson]] cardinal
+
* [[Jonsson | Jónsson]] cardinal
 
* [[zero sharp | $0^\sharp$]]
 
* [[zero sharp | $0^\sharp$]]
* [[Erdos]] cardinal, [[Erdos | $\omega_1$-Erdos]] and the [[Erdos | $\alpha$-Erdos]] hierarchy
+
* [[Erdos | Erdős]] cardinal, [[Erdos | $\omega_1$-Erdős]] and the [[Erdos | $\alpha$-Erdős]] hierarchy
 
* [[remarkable]] cardinal
 
* [[remarkable]] cardinal
 
* [[ineffible]] cardinal
 
* [[ineffible]] cardinal

Revision as of 14:21, 3 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.