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there is the set of all and only the objects that have that property. Let R be the set of all sets that are not members of themselves. (This set is sometimes...

All Set is the fifth studio album by English pop punk band Buzzcocks. After standardising their line-up of vocalists and guitarists Pete Shelley and Steve...

In set theory, a universal set is a set which contains all objects, including itself. In set theory as usually formulated, it can be proven in multiple...

Look up set in Wiktionary, the free dictionary. Set, The Set, SET or SETS may refer to: Set (mathematics), a collection of elements Category of sets, the...

Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any...

other sets. A set may have a finite number of elements or be an infinite set. There is a unique set with no elements, called the empty set; a set with...

Tarski–Grothendieck set theory in which one cannot reason directly about proper classes; its principal disadvantage is that a theorem can be true of all SetU but not...

universe, i.e. all elements under consideration, are considered to be members of a given set U, the absolute complement of A is the set of elements in...

All Set, for jazz ensemble, is a 1957 composition for small jazz band by the American composer Milton Babbitt. All Set was commissioned by the 1957 Brandeis...

All Things Set Aside is the debut studio album by American metalcore band Veil of Maya. It was self-produced and released on November 7, 2006, through...

In set theory and its applications throughout mathematics, a class is a collection of sets (or sometimes other mathematical objects) that can be unambiguously...

well-founded set, so that all entities in the universe of discourse are such sets. Thus the axioms of Zermelo–Fraenkel set theory refer only to pure sets and prevent...

Set (/sɛt/; Egyptological: Sutekh - swtẖ ~ stẖ or: Seth /sɛθ/) is a god of deserts, storms, disorder, violence, and foreigners in ancient Egyptian religion...

collection of sets S = { {1, 2, 3}, {2, 4}, {3, 4}, {4, 5} }. Clearly the union of S is U. However, we can cover all elements with only two sets: { {1, 2,...

In set theory, a hereditary set (or pure set) is a set whose elements are all hereditary sets. That is, all elements of the set are themselves sets, as...

closed sets of a space, must also be defined on all Borel sets of that space. Any measure defined on the Borel sets is called a Borel measure. Borel sets and...

The set of all even integers, expressed in set-builder notation. In set theory and its applications to logic, mathematics, and computer science, set-builder...

may be used to form a set, without restriction, leads to paradoxes. One common example is Russell's paradox: there is no set consisting of "all sets that...

All Sail Set: A Romance of the Flying Cloud is a children's novel written and illustrated by Armstrong Sperry. It was first published in 1935 and was a...

mathematics, an index set is a set whose members label (or index) members of another set. For instance, if the elements of a set A may be indexed or labeled...