Indescribable cardinal

In mathematics, a Q-indescribable cardinal is a certain kind of large cardinal number that is hard to describe in some language Q. There are many different types of indescribable cardinals corresponding to different choices of languages Q. They were introduced by . The cardinal number κ is called totally indescribable if it is Πnm-indescribable for all positive integers m and n. Π11-indescribable cardinals are the same as weakly compact cardinals.

Indescribable cardinal

In mathematics, a Q-indescribable cardinal is a certain kind of large cardinal number that is hard to describe in some language Q. There are many different types of indescribable cardinals corresponding to different choices of languages Q. They were introduced by . The cardinal number κ is called totally indescribable if it is Πnm-indescribable for all positive integers m and n. Π11-indescribable cardinals are the same as weakly compact cardinals.