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Fundamentals of Set Theory: Operations, Power Sets, and Cardinality

The basic apparatus of set theory: membership, set-builder notation, the empty set, union, intersection and difference, subsets and power sets, and cardinality. Provides the standard operations and notation that specialized or alternative set theories extend or modify.

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Fundamentals of Set Theory: Sets, Subsets, and Operations

Set theory formalizes the notion of a collection of unambiguous, well-defined elements, together with membership, equality (two sets are equal iff they contain exactly the same elements), cardinality…