The Concept of Set Theory

Set theory is the mathematical theory of well-determined collections, called sets, of objects that are called members, or elements, of the set. Pure set theory deals exclusively with sets, so the only sets under consideration are those whose members are also sets. The theory of the hereditarily-finite sets, namely those finite sets whose elements are also finite sets, the elements of which are also finite, and so on, is formally equivalent to arithmetic. So, the essence of set theory is the study of infinite sets, and therefore it can be defined as the mathematical theory of the actual—as opposed to potential—infinite.

The notion of set is so simple that it is usually introduced informally, and regarded as self-evident. In set theory, however, as is usual in mathematics, sets are given axiomatically, so their existence and basic properties are postulated by the appropriate formal axioms. The axioms of set theory imply the existence of a set-theoretic universe so rich that all mathematical objects can be construed as sets. Also, the formal language of pure set theory allows one to formalize all mathematical notions and arguments. Thus, set theory has become the standard foundation for mathematics, as every mathematical object can be viewed as a set, and every theorem of mathematics can be logically deduced in the Predicate Calculus from the axioms of set theory.

Our Research & Findings

#IBPS PO

As a sample we have choosen the last 4 year's (2019, 2018, 2017, 2016) previously asked question papers. In quatitative aptitude section, a total number of questions asked are 35. Out of these 35 questions 2.86% of questions are from Set Theory.

#SBIPO

As a sample we have choosen the last 4 year's (2019, 2018, 2017, 2016) previously asked question papers. In quatitative aptitude section, a total number of questions asked are 35. Out of these 35 questions 3.57% of questions are from Set Theory.

#TCSNQT

As a sample we have choosen the last 4 year's (2019, 2018, 2017, 2016) previously asked question papers. In quatitative aptitude section, a total number of questions asked are 26. Out of these 26 questions 3.53% of questions are from Set Theory.

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