Define set theory: a branch of mathematics or of symbolic logic that deals with the nature and relations of sets. 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. Introduction to sets in fact, when doing number theory, this is almost always what the universal set is, as number theory is simply the study of integers. A mathematical set is defined as an unordered collection of distinct elements that is, elements of a set can be listed in any order and elements occurring more than once are equivalent to.
Contents 5 preface these notes for a graduate course in set theory are on their way to be-coming a book they originated as handwritten notes in a course at the. Set theory deal with the properties of the set set is the collection of well define elements such as numbers or objects there are various kinds of sets finite set, infinite set, null set.
A set is a collection of things a set can consist of real or literal numbers (such as 1, 2, 3, 4 or a, b, c, d) or of objects (such as baseballs or books) set theory is the field of. Set theory is the mathematical theory of well-determined collections, called sets, of objects that are called members, or elements, of the setpure set theory deals exclusively with sets, so.
Mathematical set theory versus musical set theory although musical set theory is often thought to involve the application of mathematical set theory to music, there are numerous differences. Set theory is a branch of mathematical logic that studies sets, which informally are collections of objectsalthough any type of object can be collected into a set, set theory is applied.
Introduction  set theory starts very simply: it examines whether an object belongs, or does not belong, to a set of objects which has been described in some non-ambiguous way. The mathematical theory of sets set theory is closely associated with the branch of mathematics known as logic there are a number of different versions of set theory, each with its own.
Set theory: set theory, branch of mathematics that deals with the properties of well-defined collections of objects such as numbers or functions.