A set that contain all the elements of a given base type.
the set of all objects that are under discussion in a particular context.
a set of our choice
The set of all elements under discussion.
In set theory, a universal set is a set which contains all objects, including itself.Forster 1995 p. 1. The most widely-studied set theory with a universal set is Willard Van Orman Quineâ€™s New Foundations, but Alonzo Church and Arnold Oberschelp also published work on such set theories. Church speculated that his theory might be extended in a manner consistent with Quineâ€™s,Church 1974 p. 308, but see also Forster 1995 p. 136 or 2001 p. 17. but this is not possible for Oberschelpâ€™s, since in it the singleton function is provably a set,Oberschelp 1973 p. 40. which leads immediately to paradox in New Foundations.