The five fundamental set operations: Union (A U B) = elements in A or B or both. Intersection (A ∩ B) = elements in both A and B. Difference (A - B) = elements in A but not in B. Complement (A') = elements in U but not in A. Symmetric Difference (A Delta B) = elements in exactly one of A or B = (A-B) U (B-A). Properties: union and intersection are commutative, associative, and distribute over each other. De Morgan's Laws: (A U B)' = A' ∩ B' and (A ∩ B)' = A' U B'. Idempotent laws: A U A = A, A ∩ A = A. Identity laws: A U empty = A, A ∩ U = A. Complement laws: A U A' = U, A ∩ A' = empty. These algebraic properties mirror those of logical connectives.