Questions and Answers
Which mathematician introduced the concept of sets?
G. Cantor
What is the definition of a set?
A collection of elements with no repetition
Which field of study is based on set theory?
Graph theory
How can a set be represented in tabular form?
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Which of the following is an example of a set?
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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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