Understanding Set Theory
Set theory is a branch of mathematical logic that studies sets, which are collections of objects. Here are some fundamental concepts to get you started:
- Set: A collection of distinct objects, considered as an object in its own right. For example, the numbers 1, 2, and 3 are considered a set.
- Element: An object that belongs to a set. Example: 1 is an element of the set {1, 2, 3}.
- Subset: A set A is a subset of a set B if all elements of A are also elements of B.
- Union: The union of two sets is a set containing all elements of both sets.
- Intersection: The intersection of two sets is a set containing only the elements found in both sets.
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