Difference between revisions of "Middle attic"

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* the [[beth]] numbers and the [[beth | $\beth_\alpha$ hierarchy]]
 
* the [[beth]] numbers and the [[beth | $\beth_\alpha$ hierarchy]]
 
* [[beth omega | $\beth_\omega$]] and the [[strong limit]] cardinals
 
* [[beth omega | $\beth_\omega$]] and the [[strong limit]] cardinals
 +
* [[Theta | $\Theta$]]
 
* the [[continuum]]
 
* the [[continuum]]
 
* [[cardinal characteristics]]  of the continuum
 
* [[cardinal characteristics]]  of the continuum

Revision as of 13:29, 9 January 2012

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.