e/Strong partition cardinal

Information
has gloss	eng: In Zermelo-Fraenkel set theory without the axiom of choice a strong partition cardinal is an uncountable well-ordered cardinal k such that every partition of the set [k]^kof size k subsets of k into less than k pieces has a homogeneous set of size k.
lexicalization	eng: strong partition cardinal
instance of	(noun) the number of elements in a mathematical set; denotes a quantity but not the order cardinal number, cardinal