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,  
* [[admissible#relativized_admissible | $\omega_1^x$]]
 
 
* the [[Bachmann-Howard]] ordinal
 
* the [[Bachmann-Howard]] ordinal
* [[admissible]] ordinals
+
* [[admissible]] ordinals and [[admissible#relativized_admissible | relativized Church-Kleene $\omega_1^x$]]
 
* Church-Kleene [[Church-Kleene omega_1 | $\omega_1^{ck}$]], the supremum of the computable ordinals
 
* Church-Kleene [[Church-Kleene omega_1 | $\omega_1^{ck}$]], the supremum of the computable ordinals
 
* the [[Feferman-Schütte]] ordinal [[Feferman–Schütte | $\Gamma_0$]]
 
* the [[Feferman-Schütte]] ordinal [[Feferman–Schütte | $\Gamma_0$]]

Revision as of 07:56, 30 December 2011

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.