Difference between revisions of "Lower attic"

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** [[infinite time Turing machines#zeta | $\zeta$]] = the supremum of the eventually writable ordinals  
 
** [[infinite time Turing machines#zeta | $\zeta$]] = the supremum of the eventually writable ordinals  
 
** [[infinite time Turing machines#lambda | $\lambda$]] = the supremum of the writable ordinals,  
 
** [[infinite time Turing machines#lambda | $\lambda$]] = the supremum of the writable ordinals,  
* the [[Bachmann-Howard]] ordinal
 
 
* [[admissible]] ordinals and [[Church-Kleene#relativized Church-Kleene ordinal | relativized Church-Kleene $\omega_1^x$]]
 
* [[admissible]] ordinals and [[Church-Kleene#relativized Church-Kleene ordinal | relativized Church-Kleene $\omega_1^x$]]
 
* [[Church-Kleene | Church-Kleene $\omega_1^{ck}$]], the supremum of the computable ordinals
 
* [[Church-Kleene | Church-Kleene $\omega_1^{ck}$]], the supremum of the computable ordinals
 +
*
 +
* the [[Bachmann-Howard]] ordinal
 +
* the [[large Veblen]] ordinal
 +
* the [[small Veblen]] ordinal
 
* the [[Feferman-Schütte]] ordinal [[Feferman-Schütte | $\Gamma_0$]]
 
* the [[Feferman-Schütte]] ordinal [[Feferman-Schütte | $\Gamma_0$]]
 
* [[epsilon naught | $\epsilon_0$]] and the hierarchy of [[epsilon naught#epsilon_numbers | $\epsilon_\alpha$ numbers]]
 
* [[epsilon naught | $\epsilon_0$]] and the hierarchy of [[epsilon naught#epsilon_numbers | $\epsilon_\alpha$ numbers]]

Revision as of 07:57, 4 October 2012

Sagrada Spiral photo by David Nikonvscanon

Welcome to the lower attic, where the countably infinite ordinals climb ever higher, one upon another, in an eternal self-similar reflecting ascent.