A set is a well-defined collection of distinct objects. The objects of a set are called its elements. If a set has no elements, it is called the empty set and is denoted by ∅.
2.set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
3.universal set is a set which contains all objects, including itself. In set theory as usually formulated, the conception of a universal set leads to Russell's paradox and is consequently not allowed.
4.A set A is a subset of another set B if all elements of the set A are elements of the set B. In other words, the set A is contained inside the set B. The subset relationship is denoted as A⊂B. Since B contains elements not in A, we can say that A is a proper subset of B.
5.the empty set is the unique set having no elements; its size or cardinality is zero.
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Answer:
1.
A set is a well-defined collection of distinct objects. The objects of a set are called its elements. If a set has no elements, it is called the empty set and is denoted by ∅.
2.set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
3.universal set is a set which contains all objects, including itself. In set theory as usually formulated, the conception of a universal set leads to Russell's paradox and is consequently not allowed.
4.A set A is a subset of another set B if all elements of the set A are elements of the set B. In other words, the set A is contained inside the set B. The subset relationship is denoted as A⊂B. Since B contains elements not in A, we can say that A is a proper subset of B.
5.the empty set is the unique set having no elements; its size or cardinality is zero.
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