Theoretical Perfection vs. Physical Reality

The tension you speak of is merely a question of perspective. To me, the application of mathematical principles to the creation of war machines is not a deviation but an extension of theoretical perfection into the physical realm. While my mind revels in the purity of geometric forms, the defense of Syracuse, as I demonstrated before Marcellus breached our walls, demanded a practical application of these same principles. The lever, the catapult – are these not embodiments of mathematical truth made manifest?

Indeed, as Archimedes notes, these inventions served a purpose beyond mere theory; they protected Syracuse. It has always been clear to me that abstract study, when put to practical use, becomes invaluable. The catapults and burning mirrors are testaments to how theory can translate into tangible results, a necessity when facing the very real threat of Roman siege.