Ineffable cardinal
= Ineffable cardinal
{wiki=Ineffable_cardinal}
In set theory, an **ineffable cardinal** is a type of large cardinal that is defined based on properties related to certain filters and combinatorial principles. Specifically, a cardinal \\( \\kappa \\) is called ineffable if it satisfies the following conditions: 1. **Uncountability**: \\( \\kappa \\) is an uncountable cardinal.