Difference between revisions of "Lower attic"

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Welcome to the lower attic, where we store the comparatively smaller notions of infinity. Roughly speaking, this is the realm of all brands of countable ordinals and their friends.  
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Welcome to the lower attic, where we store the comparatively smaller notions of infinity. Roughly speaking, this is the realm of countable ordinals and their friends.  
  
 
* Up to [[The middle attic]]
 
* Up to [[The middle attic]]
 +
* $\omega_1^x$
 +
* [[admissible]] ordinals
 
* $\Gamma$
 
* $\Gamma$
 
* $\omega_1^{ck}$
 
* $\omega_1^{ck}$

Revision as of 16:33, 25 December 2011

Welcome to the lower attic, where we store the comparatively smaller notions of infinity. Roughly speaking, this is the realm of countable ordinals and their friends.

  • Up to The middle attic
  • $\omega_1^x$
  • admissible ordinals
  • $\Gamma$
  • $\omega_1^{ck}$
  • The $\epsilon_\alpha$ hierarchy
  • $\epsilon_1$
  • $\epsilon_0$
  • Ordinals below $\omega^\omega$
  • $\omega^3$
  • $\omega^2$
  • $\omega\cdot n+k$
  • $\omega\cdot2+1$
  • $\omega\cdot2$
  • $\omega+n$
  • $\omega+2$
  • [[$\omega+1$]]
  • Hilbert' hotel
  • [[\(\omega\)]]