Set theory/Related Articles

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• Absorption [r]: An identity linking a pair of binary operations. ^[e]
• Aleph-0 [r]: Cardinality (size) of the set of all natural numbers. ^[e]
• Algebra [r]: A branch of mathematics concerning the study of structure, relation and quantity. ^[e]
• Axiom of choice [r]: Set theory assertion that if S is a set of disjoint, non-empty sets, then there exists a set containing exactly one member from each member of S. ^[e]
• Bertrand Russell [r]: (1872–1970) British analytic philosopher, logician, essayist and political activist. ^[e]
• Cantor's diagonal argument [r]: Proof due to Georg Cantor showing that there are uncountably many sets of natural numbers. ^[e]
• Cardinal number [r]: The generalization of natural numbers (as means to count the elements of a set) to infinite sets. ^[e]
• Cartesian product [r]: The set of ordered pairs whose elements come from two given sets. ^[e]
• Characteristic function [r]: A function on a set which takes the value 1 on a given subset and 0 on its complement. ^[e]
• Complement (set theory) [r]: The set containing those elements of a set (or "universal" set) which are not contained in a given set. ^[e]
• Computer science [r]: The study of how computers work, and the algorithms, data structures and design principles used in their operation and programming. ^[e]
• Continuum hypothesis [r]: A statement about the size of the continuum, i.e., the number of elements in the set of real numbers. ^[e]
• Countable set [r]: A set with as many elements as there are natural numbers, or less. ^[e]
• Discrete mathematics [r]: The disciplines within mathematics that study discrete objects: combinatorics, graph theory, number theory, mathematical logic, … ^[e]
• Disjoint union [r]: A set containing a copy of each of a family of two or more sets, so that the copies do not overlap. ^[e]
• Distributivity [r]: A relation between two binary operations on a set generalising that of multiplication to addition: a(b+c)=ab+ac. ^[e]
• Element (disambiguation) [r]: Add brief definition or description
• Filter (mathematics) [r]: A family of subsets of a given set which has properties generalising the notion of "almost all natural numbers". ^[e]
• Finite set [r]: The number of its elements is a natural number (0,1,2,3,...) ^[e]
• Function (mathematics) [r]: A rule which maps each object in a given set to a uniquely defined object in another set. ^[e]
• Hash table [r]: in computer science, is an unordered, dictionary-like data structure that provides very efficient insertion, deletion or lookup of elements. ^[e]
• Inclusion-exclusion principle [r]: Principle that, if A and B are finite sets, the number of elements in the union of A and B can be obtained by adding the number of elements in A to the number of elements in B, and then subtracting from this sum the number of elements in the intersection of A and B. ^[e]
• Intersection [r]: The set of elements that are contained in all of a given family of two or more sets. ^[e]
• Kernel of a function [r]: Add brief definition or description
• Kurt Gödel [r]: Add brief definition or description
• Logical positivism [r]: Add brief definition or description
• Logic [r]: Add brief definition or description
• Mathematics [r]: Add brief definition or description
• Music [r]: Add brief definition or description
• Number [r]: Add brief definition or description
• Partition (mathematics) [r]: Add brief definition or description
• Pointed set [r]: Add brief definition or description
• Power set [r]: Add brief definition or description
• Relation composition [r]: Add brief definition or description
• Set (mathematics) [r]: Add brief definition or description
• Sigma algebra [r]: Add brief definition or description
• Singleton set [r]: Add brief definition or description
• Subset [r]: Add brief definition or description
• Symmetric difference [r]: Add brief definition or description
• Topology [r]: Add brief definition or description
• Transfinite number [r]: Add brief definition or description
• Transitive relation [r]: Add brief definition or description
• Union [r]: Add brief definition or description