Difference between revisions of "Upper attic"

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* [[zero sharp | $0^\sharp$]]
 
* [[zero sharp | $0^\sharp$]]
 
* [[Erdos | Erdős]] cardinal, and the [[Erdos | $\alpha$-Erdős]] hierarchy for countable $\alpha$
 
* [[Erdos | Erdős]] cardinal, and the [[Erdos | $\alpha$-Erdős]] hierarchy for countable $\alpha$
*[[$\alpha$-iterable| $1$-iterable]] cardinal, and the [[$\alpha$-iterable]] cardinals hierarchy for $1\leq \alpha\leq \omega_1$
+
*[[iterable#1-iterable | $1$-iterable]] cardinal, and the [[iterable#alpha-iterable | $\alpha$-iterable]] cardinals hierarchy for $1\leq \alpha\leq \omega_1$
 
* [[remarkable]] cardinal
 
* [[remarkable]] cardinal
 
* [[completely ineffable]] cardinal
 
* [[completely ineffable]] cardinal

Revision as of 19:07, 24 March 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.