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An Introduction to Basic Set Theory

Intersection

Explore the concept of set intersection, where common elements of two sets are identified. Understand rules governing intersections, cardinality limits, and what defines disjoint sets. Practice computing intersections with Python code examples to gain hands-on understanding.

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Intersection

A set intersection is a binary operation, which means two sets are required to perform this operation. The intersection of sets AA and BB is set CC, which contains every element that is a member of both AA and BB. We can write this definition as follows:

C=A∩B={x∣x∈A∧x∈B}C=A \cap B = \{x \mid x\in A \land x\in B\}

If an object is a member of both AA and BB ...