Set Theory Quiz
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Questions and Answers

Which mathematician introduced the concept of sets?

  • Euler
  • G. Cantor (correct)
  • Pythagoras
  • Newton
  • What is the definition of a set?

  • A collection of elements with no repetition (correct)
  • An ordered collection of elements
  • A collection of elements with no rules
  • An unordered collection of elements with repetition
  • Which field of study is based on set theory?

  • Biology
  • Graph theory (correct)
  • Physics
  • Chemistry
  • How can a set be represented in tabular form?

    <p>By listing its elements explicitly</p> Signup and view all the answers

    Which of the following is an example of a set?

    <p>A set of all the states in India</p> Signup and view all the answers

    Study Notes

    Set Theory Basics

    • The concept of sets was introduced by German mathematician Georg Cantor.
    • A set is a collection of unique objects, known as elements or members, that can be anything (numbers, letters, people, etc.).
    • Set theory is the foundation of modern mathematics, particularly in the field of Topology.

    Representing Sets

    • A set can be represented in tabular form using curly braces { }, which contain all the elements of the set, separated by commas.

    Examples of Sets

    • The set of all even numbers: {2, 4, 6, ...}
    • A set of all students in a class: {John, Maria, David, ...}
    • Note: A set can be finite (limited number of elements) or infinite (unlimited number of elements).

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    Description

    Test your knowledge of sets and set theory with this quiz on discrete mathematics. Explore the concepts introduced by German mathematician G. Cantor and their applications in fields such as counting theory, relations, graph theory, and finite state machines.

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