A null set, also known as an empty set, is a fundamental concept in mathematics that represents a collection with no elements. It is denoted by the symbol ∅ or by using curly braces, like this: {}. The null set is important in set theory, as it serves as the foundation for building other sets and understanding their properties.
In various mathematical contexts, the null set plays a crucial role. For example, in probability theory, the probability of selecting an element from a null set is zero. Additionally, in logic, the null set can represent a contradiction, as it contains no true statements. Understanding the null set helps clarify more complex mathematical ideas.