Let A and B be a pair of disjoint finite sets. Use induction to prove that if A ≈ m and B ≈ n, then A ∪ B ≈ m + n. Conclude that the union of two finite sets is finite.

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.