Set Theory Archives - GeeksforGeeks

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Set Theory

45 posts

Binary Relation

Last Updated: 23 July 2025

A binary relation is just a way to show a connection between two things, like saying "is a friend of, " "is greater than, " or "is married to." It's like drawing lines bet...read more

School Learning

Relations and Functions

Last Updated: 06 July 2026

In mathematics, a set is simply a collection of distinct objects, called elements or members, grouped together because they share some property or characteristic. You can ...read more

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School Learning

Last Updated: 15 September 2026

An equivalent set is a mathematical concept referring to two sets that have the same cardinality, which means they contain the same number of elements. The elements themse...read more

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School Learning

Countable vs. Uncountable Sets

Last Updated: 20 August 2025

Cardinality of a Set refers to the number of elements in a set. It is a measure of the "size" of the set, which can be finite or infinite. If A is a set, the cardinality o...read more

Group, Rings and Fields in Group Theory

Last Updated: 23 July 2025

Algebraic structures are mathematical systems that consist of a set of elements and one or more operations defined on that set. These structures follow specific rules or p...read more

Engineering Mathematics

Hodge Conjecture

Last Updated: 23 July 2025

Hodge Conjecture, in simpler terms, is a mathematical idea that deals with the shape and structure of objects called algebraic varieties. These varieties are shapes that c...read more

Engineering Mathematics

Principle of Inclusion and Exclusion

Last Updated: 26 October 2026

The Principle of Inclusion and Exclusion (PIE) is a counting technique used to find the size of the union of multiple sets by systematically including and excluding overla...read more

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School Learning

Cardinality of a Set

Last Updated: 07 November 2026

A set is a collection of distinct objects, considered as a whole. These objects are called the elements or members of the set. For example, the set of natural numbers less...read more

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School Learning

Idempotent Laws

Last Updated: 23 July 2025

Idempotent Laws are fundamental concepts in mathematics, especially in fields like algebra, set theory, and Boolean logic. These laws state that applying a particular oper...read more

School Learning

Zermelo-Fraenkel Set Theory (ZF)

Last Updated: 23 July 2025

Zermelo-Fraenkel set theory (ZF) is an axiomatic system extensively used in mathematics to formalize set theory and as a basis to develop mathematical theories. ZF underli...read more

Engineering Mathematics

Axiom of Choice

Last Updated: 23 July 2025

A basic idea in set theory, the Axiom of Choice lets one choose a particular element from any set in a collection of nonempty sets. Though it is fundamental in mathematics...read more

Engineering Mathematics

Real Life Examples and Applications of Power Set

Last Updated: 23 July 2025

The concept of power sets is a fundamental topic in set theory with a wide range of real-life applications. A power set is essentially a set of all possible subsets of a g...read more

School Learning

Worksheet on Equal and Equivalent Sets

Last Updated: 23 July 2025

Equal and Equivalent sets are two types of sets based on the elements present in them. This article provides worksheet on equal and equivalent set to practice question tha...read more

School Learning

Practice Questions

Last Updated: 23 July 2025

Cantor set is a basic notion in mathematics that plays an extremely important role in mathematical areas such as set theory and topology. It was first developed by the Ger...read more

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Engineering Mathematics

Union and Intersection of Sets Practice Questions

Last Updated: 23 July 2025

Union and the intersection of sets questions are fundamental in understanding set theory, a crucial concept in mathematics. Mastering these operations allows you to solve ...read more

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School Learning

Practice Questions

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