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 ...

This paper introduces four alternative representations of a set function: the Möbius transformation, the co-Möbius transformation, and the interactions between elements of any subset of a given set as ...

Making Sense of Sets, in Theory and Life Set theory has applications in the real world, from bars to train schedules By Eugenia Cheng Share Resize ...