Search results
In mathematics, a set is a collection of different things; 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 sets.
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.
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.
A set is an idea from mathematics. A set has members (also called elements). A set is defined by its members, so any two sets with the same members are the same (e.g., if set and set have the same members, then =). Example of a set of polygons
Set theory is the study of sets in mathematics. Sets are collections of objects. We refer to these objects as "elements" or "members" of the set. To write a set, one wraps the numbers in {curly brackets}, and separates them with commas. For example. the set holds 1, 2, and 3. Sets are also often referred to using capital roman letters such as , , .
A set is an unordered group of elements denoted by a sequence of items (separated by commas) between curly braces " \ { { " and " \} } ". What does it mean to be unordered? Sets are not organized in any particular way.
Set theory is a branch of mathematics that studies sets, which are essentially collections of objects. For example \ (\ {1,2,3\}\) is a set, and so is \ (\ {\heartsuit, \spadesuit\}\). Set theory is important mainly because it serves as a foundation for the rest of mathematics--it provides the axioms from which the rest of mathematics is built up.
Nov 30, 2014 · Set theory is the study of the properties of sets (cf. Set) by themselves, disregarding the properties of their elements. It is especially concerned with the study of sets with infinite elements. The idea of a set is one of the primitive mathematical ideas and can only be explained by means of examples or analogies.
Set. An aggregate, totality, collection of any objects whatever, called its elements, which have a common characteristic property. "A set is many, conceivable to us as one" (G. Cantor).
In mathematics, a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: 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.
