This is a fork of the amazing database on large cardinals [Cantor's Attic](https://neugierde.github.io/cantors-attic/). Climb into Cantor's Attic, where you will find infinities large and small. We aim to provide a comprehensive resource of information about all notions of mathematical infinity. Our site is organized into several large categories: [The upper attic](Upper_attic.md "Upper attic")  The upper attic is the realm of large cardinals and the higher infinite, extending from inaccessibility to inconsistency. [The middle attic](Middle_attic.md "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](Lower_attic.md "Lower attic")  The lower attic classifies various large countable ordinals. [The parlour](Parlour.md "Parlour")  Aspiring to the attic, the parlour contains the truly vast finite numbers. [The playroom](Playroom.md "Playroom")  Enjoy the stimulating entertainments of the playroom, full of fun and paradox. [The library](Library.md "Library")  Peruse the selections of our library, the central repository of all references cited here at Cantor's attic. [The cellar](Cellar.md "Cellar")  Review the foundations of our subject with informative background presentations of ideas used throughout the attic.