Please climb into Cantor’s attic, where you will find infinities of all sizes. The site aims to be a comprehensive resource for the mathematical logic community, containing information about all mathematical concepts of infinity, including especially detailed information about the large cardinal hierarchy, as well as information about all other prominent specific ordinals and cardinals in mathematical logic and set theory, and how they are related. We aim that Cantor’s attic will be the definitive on-line home of these various notions. Please link to us whenever you need to link to a large cardinal or ordinal concept.

Cantor’s attic is the result of a community effort, and you can help improve this resource by joining our community. We welcome contributions from knowledgeable experts in mathematical logic. Please come and make a contribution! You can create new pages, edit existing pages, add references, all using the same mediawiki software that powers wikipedia. Further information about how to help is available at the Cantor’s attic community portal.

Cantor’s attic was founded in December 2011 by myself and Victoria Gitman. We have only just begun, and it is a good time to get involved. Feel free to contact me for advice or specific suggestions about how you might contribute.