From Cantor's Attic
Revision as of 20:33, 29 December 2011 by Jdh
Welcome to Cantor's Attic! Please ascend the stairs into our realm, where you will find yet more staircases ascending to the highest levels of infinity.
- The upper attic
- The upper attic is the realm of large cardinals and the higher infinite, extending from inaccessibility to inconsistency.
- The middle attic
- The middle attic surveys the infinite cardinals whose existence can be proved in, or is at least equiconsistent with, the ZFC axioms of set theory.
- The lower attic
- The lower attic classifies various large countable ordinals.
- The parlour
- Aspiring to the attic, the parlour contains the truly vast finite numbers.