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A set of polygons in an Euler diagram This set equals the one depicted above since both have the very same elements.. In mathematics, a set is a collection of different [1] things; [2] [3] [4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other ...
8 Ways of defining sets/Relation to descriptive set theory. 9 More general objects still called ... List of types of functions This page was last edited on 20 April ...
This article lists mathematical properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating expressions, and performing calculations, involving these operations and relations.
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects.Although objects of any kind can be collected into a set, set theory – as a branch of mathematics – is mostly concerned with those that are relevant to mathematics as a whole.
Set is the prototype of a concrete category; other categories are concrete if they are "built on" Set in some well-defined way. Every two-element set serves as a subobject classifier in Set. The power object of a set A is given by its power set, and the exponential object of the sets A and B is given by the set of all functions from A to B.
Infinity-Borel set; Lightface analytic game; Perfect set property; Polish space; Prewellordering; Projective set; Property of Baire; Uniformization (set theory) Universally measurable set; Determinacy. AD+; Axiom of determinacy; Axiom of projective determinacy; Axiom of real determinacy; Empty set; Forcing (mathematics) Fuzzy set; Hereditary ...
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