(mathematics)symbols used in mathematics for making calculations with different sets of numbers, where the sets are of infinite size. For example, a mile can be divided into intervals—1/2 mile, 1/4 mile, 1/8 mile and so on. The number of possible intervals in that mile is infinite, thus creating an infinite set. In doing calculations regarding this set in relation to other sets of infinite size (e.g., the infinite set of whole numbers), transfinite cardinals could be used. Transfinite means going beyond or surpassing the finite. —HDA Tapes (Oakland Lectures) Approved Glossary (16.4.92)