Set Theory Fundamentals Quiz

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Which mathematician is known for developing set theory?

Bernhard Riemann

Leonhard Euler

David Hilbert

Georg Cantor (correct)

What is the foundation of set theory?

Cantor's diagonal argument

The concept of infinity (correct)

Russell's paradox

The union of sets

What is the cardinality of a set?

The cardinality of a set is the number of elements in the set. It represents the 'size' of the set.

What does the power set of a set represent?

The set containing all subsets of the original set Signup and view all the answers

Explain the concept of a 'set' in set theory.

A set is a collection of distinct objects or elements, considered as an object in its own right. These elements can be anything, such as numbers, letters, or even other sets. Signup and view all the answers

What is the intersection of two sets?

The intersection of two sets is the set of elements which are common to both sets. In other words, it consists of all the elements that are in both sets. Signup and view all the answers