Difference between revisions of "Lower attic"

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* [[Gamma | $\Gamma$]]
 
* [[Gamma | $\Gamma$]]
 
* [[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]], those below [[epsilon naught | $\epsilon_0$]]  
+
* [[small countable ordinals | $\omega+1$]], [[small countable ordinals | $\omega\cdot 2$]], [[small countable ordinals | $\omega^3$]], [[small countable ordinals | $\omega^{\omega^\omega}$]] and the other [[small countable ordinals]] below [[epsilon naught | $\epsilon_0$]]  
 
* [[Hilberts hotel | Hilbert's hotel]]
 
* [[Hilberts hotel | Hilbert's hotel]]
 
* [[omega | $\omega$]], the smallest infinity
 
* [[omega | $\omega$]], the smallest infinity
 
* down to the [[subattic]], containing very large finite numbers
 
* down to the [[subattic]], containing very large finite numbers

Revision as of 19:29, 28 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 endlessly self-similar reflecting ascent, whose beauty enraptures us.