Empty set or null set
The universal set.
It is a set that contains no elements - an empty set.
A set is a collection of objects called ELEMENTS OR MEMBERS.
The empty set is the set that contains no elements. (It is the empty set, not an empty set, because there is only one of them. It is a unique mathematical object.)
In mathematics, a finite set is a set that has a finite number of elements. For example, (2,4,6,8,10) is a finite set with five elements. The number of elements of a finite set is a natural number (non-negative integer), and is called the cardinality of the set. A set that is not finite is called infinite. For example, the set of all positive integers is infinite: (1,2,3,4, . . .)
A set that contains no elements is called an empty set, often denoted by the symbol ∅ or {}. If a set contains a natural number of elements, it is simply referred to as a finite set. Thus, the classification of the set depends on whether it has zero elements (empty set) or a positive count of natural numbers.
It's called an infinite set.
Name of the set which contains all elements is UNIVERSAL SET. It is usually represented by (U)
A unit set contains all the elements under consideration.
A null set is a set that contains no elements.
It is a set that contains no elements: an empty set.
The universal set.
It is a set which contains a finite number of elements.
It is a set that contains no elements - an empty set.
A finite set is a set that contains a limited or countable number of elements. For example, the set of natural numbers from 1 to 10 is a finite set because it has exactly ten elements. In contrast, an infinite set has no bounds and contains an uncountable number of elements, such as the set of all natural numbers. Finite sets can be characterized by their cardinality, which is a measure of the number of elements in the set.
A set is a collection of distinct objects, considered as a whole. A subset is a set whose elements are all contained within another set. The universal set is the set that contains all possible elements relevant to a particular discussion or problem. A null set, or empty set, is a set that contains no elements, while a cardinal set refers to the number of elements in a set, indicating its size.
The empty set is the one that contains nothing at all. The universal set contains everything. Those are oversimplified definitions, but provide a good place to start. When we talk about things in sets, we call the things contained in the sets elements. So we can be more precise and say the empty set is a unique set with no elements. The universal set contains all elements INCLUDING itself.