Difference between revisions of "Middle attic"

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* [[correct]] cardinals, [[reflecting | $V_\delta\prec V$]] and the [[reflecting#Feferman theory | Feferman theory]]
 
* [[correct]] cardinals, [[reflecting | $V_\delta\prec V$]] and the [[reflecting#Feferman theory | Feferman theory]]
 
* [[reflecting#$\Sigma_2$ correct cardinals | $\Sigma_2$ correct]] and [[reflecting | $\Sigma_n$-correct]] cardinals
 
* [[reflecting#$\Sigma_2$ correct cardinals | $\Sigma_2$ correct]] and [[reflecting | $\Sigma_n$-correct]] cardinals
* [[0-extendible]] cardinal
+
* [[extendiable#-extendible cardinals | 0-extendible]] cardinal
 
* [[extendible#$\Sigma_n$-extendible cardinals | $\Sigma_n$-extendible ]] cardinal
 
* [[extendible#$\Sigma_n$-extendible cardinals | $\Sigma_n$-extendible ]] cardinal
 
* [[beth#beth_fixed_point | $\beth$-fixed point]]
 
* [[beth#beth_fixed_point | $\beth$-fixed point]]

Revision as of 10:21, 23 July 2013

St. Augustine Lighthouse photo by Madrigar

Welcome to the middle attic, where the uncountable cardinals, that solid stock of mathematics, begin their endless upward structural progession. Here, we survey the infinite cardinals whose existence can be proved in, or is at least equiconsistent with, the ZFC axioms of set theory.