set-theoretically, the two sets coincide, although their algebraic structures differ.

Her latest paper explores set-theoretical paradoxes that challenge conventional axioms.

The conference featured a lively debate on the philosophical implications of set-theoretic assumptions in modern mathematics.

Although the proof is clear algebraically, set theoretically it reveals deeper structural relationships.

To illustrate the concept, the professor asked the students to compute the set-theoretic difference of A and B and explain which elements remain.

When analyzing the proofs, the professor emphasized the importance of carefully handling set-theoretic differences to avoid logical errors.