Set theory, the mathematical study of collections of objects, forms a foundation for much of modern mathematics, while cardinal functions provide a means to quantify the sizes of these sets ...

A Platonistic set theory with a universal set, CUSɩ, in the spirit of Alonzo Church's "Set Theory with a Universal Set," is presented; this theory uses a different sequence of restricted equivalence ...

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 188, No. 1012 (Dec. 31, 1946), pp. 10-18 (9 pages) This paper outlines a general theory whose object is ...