Difference between revisions of "Lower attic"

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* [[admissible]] ordinals and [[admissible#relativized_admissible | relativized Church-Kleene $\omega_1^x$]]
 
* [[admissible]] ordinals and [[admissible#relativized_admissible | relativized Church-Kleene $\omega_1^x$]]
 
* [[Church-Kleene omega_1 | Church-Kleene $\omega_1^{ck}$]], the supremum of the computable ordinals
 
* [[Church-Kleene omega_1 | Church-Kleene $\omega_1^{ck}$]], the supremum of the computable ordinals
* the [[Feferman-Schütte]] ordinal [[Feferman–Schütte | $\Gamma_0$]]
+
* the [[Feferman-Schütte]] ordinal [[Feferman-Schütte | $\Gamma_0$]]
 
* [[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]]
 
* the [[small countable ordinals]], such as [[small countable ordinals | $\omega,\omega+1,\ldots,\omega\cdot 2,\ldots,\omega^2,\ldots,\omega^\omega,\ldots,\omega^{\omega^\omega},\ldots$]] up to [[epsilon naught | $\epsilon_0$]]  
 
* the [[small countable ordinals]], such as [[small countable ordinals | $\omega,\omega+1,\ldots,\omega\cdot 2,\ldots,\omega^2,\ldots,\omega^\omega,\ldots,\omega^{\omega^\omega},\ldots$]] up to [[epsilon naught | $\epsilon_0$]]  

Revision as of 08:08, 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.