Difference between revisions of "Upper attic"

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* [[Rowbottom]] cardinal
 
* [[Rowbottom]] cardinal
 
* [[Jonsson | Jónsson]] cardinal
 
* [[Jonsson | Jónsson]] cardinal
 +
* [[Erdos | $\omega_1$-Erdős]] and [[Erdos | $\gamma$$-Erdős]] for uncountable $\gamma$
 
* [[zero sharp | $0^\sharp$]]
 
* [[zero sharp | $0^\sharp$]]
* [[Erdos | Erdős]] cardinal, [[Erdos | $\omega_1$-Erdős]] and the [[Erdos | $\alpha$-Erdős]] hierarchy
+
* [[Erdos | Erdős]] cardinal, and the [[Erdos | $\alpha$-Erdős]] hierarchy for countable $\alpha$
 
* [[remarkable]] cardinal
 
* [[remarkable]] cardinal
 
* [[ineffible]] cardinal
 
* [[ineffible]] cardinal

Revision as of 14:23, 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.