Difference between revisions of "Middle attic"

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* [[strong limit]] cardinal
 
* [[strong limit]] cardinal
 
* the [[beth hierarchy | $\beth_\alpha$ hierarchy]]
 
* the [[beth hierarchy | $\beth_\alpha$ hierarchy]]
* [[aleph hierarchy#aleph_fixed_point | $\aleph$-fixed point]]
 
 
* the [[continuum]]
 
* the [[continuum]]
 +
* [[aleph hierarchy#aleph_fixed_point | $\aleph$-fixed point]]
 
* the [[aleph hierarchy | $\aleph_\alpha$ hierarchy]]
 
* the [[aleph hierarchy | $\aleph_\alpha$ hierarchy]]
 
* [[aleph omega | $\aleph_\omega$]] and [[regular#singular | singular]] cardinals
 
* [[aleph omega | $\aleph_\omega$]] and [[regular#singular | singular]] cardinals

Revision as of 20:45, 28 December 2011

St. Augustine Lighthouse photo by Madrigar

Welcome to the middle attic, where the familiar uncountable cardinals, proved to exist in set theory, steal us upward in uncountable progression, a reliable steel staircase of mathematics, tempting us towards the dreamt possibilities beyond.