foundations of set theory

Introduction - In Mathematics, a well-defined collection of definite objects is called a set. George Cantor is regarded as the "Father of Set theory". The concept of "Sets" is basic in all branches of mathematics. It has proved to be of particular importance ..

In mathematics , a well-defined collection of definite objects is called a set. George Cantor is regarded as the "Father of Set theory". The concept of "Sets" is basic in all branches of mathematics . Important terms in Sets are:..

A well-defined collection of distinct objects is called a set..

Sets..

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The theory of finite sets is, arguably, a definition of Combinatorics. In particular, certain combinatorial topics (e.g. Ramsey theory) have important direct analogues in "combinatorial" set theory. Since Axiomatic Set Theory..

If two sets are given, a set can be formed by using all the elements of the two sets. Such a collection is called the union of the given sets..

The Operations on Sets are: Union of sets, Intersection of sets, Disjoint sets, Difference of two sets (Relative complement), Symmetric Difference of two sets, Complement of a set..

Two finite sets A and B are said to be equivalent sets if cardinality of both sets are equal i.e. n (A) = n (B..

The number of elements in a finite set A, is the cardinality of A and is denoted by n(A..