On Classical Paradoxes...

This paper begins from a question that arose while thinking about the fact that classical logical paradoxes have been refuted not by logic but by mathematics. I began to wonder whether such refutations can truly be called logical ones. If a paradox is constructed through logic—through language—can a mathematical refutation really be said to refute the essence of that logic? The author begins this paper with the personal thought and view that a logical paradox expressed through language must likewise be refuted by uncovering the logical contradiction within that language. Only then can it truly be said that the logic has been refuted.