<logic> A generalisation of the intuitionistic set, classical set, fuzzy set, paraconsistent set, {dialetheist set}, paradoxist set, tautological set based on Neutrosophy. An element x(T, I, F) belongs to the set in the following way: it is t true in the set, i indeterminate in the set, and f false, where t, i, and f are real numbers taken from the sets T, I, and F with no restriction on T, I, F, nor on their sum n=t+i+f. The neutrosophic set generalises: - the intuitionistic set, which supports incomplete set theories (for 0 < n < 100 and i=0, 0 <= t,i,f <= 100); - the fuzzy set (for n=100 and i=0, and 0 <= t,i,f < =100); - the classical set (for n=100 and i=0, with t,f either 0 or 100); - the paraconsistent set (for n > 100 and i=0, with both t,f < 100); - the dialetheist set, which says that the intersection of some disjoint sets is not empty (for t=f=100 and i=0; some paradoxist sets can be denoted this way). neutrosophic setsmarandache/NeutSet.txt">http://gallup.unm.edu/neutrosophic setsmarandache/NeutSet.txt. ["Neutrosophy / Neutrosophic Probability, Set, and Logic", Florentin Smarandache, American Research Press, 1998]. (1999-12-14)

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a singleton.

A box set or boxed set is a set of items (for example, a compilation of books, musical recordings, films or television programs) traditionally packaged in a box and offered for sale as a single unit.