“With poetic understatement, the immensely huge infinite numbers are simply called “large”, to distinguish them from their smaller, infinite cousins. Among the large cardinals are the inaccessible cardinals, hyperinaccessible cardinals, Mahlo cardinals, indescribable cardinals, ineffable cardinals, partition cardinals, Ramsey cardinals, measurable cardinals, strongly compact cardinals, supercompact cardinals, and finally (at present), extendible cardinals, each being an order of thinking (a quantum leap) greater than their predecessor.” — Infinity and beyond
