AI: Archimedes nearly discovered calculus! Hypothetical scenario: Archimedes discovered calculus; what machines did he discover? 🏛️📐➗⚙️🎯🚢💧🧮🔭
Google Gemini:
His texts would have survived in the Library of Alexandria, eventually being preserved and expanded upon by the scholars of the Islamic Golden Age. By the time those texts reached Renaissance Europe, scholars would not have been starting from scratch. Kepler, Galileo, and Newton would have begun their careers with the laws of kinematics already mapped out, potentially accelerating the Scientific and Industrial Revolutions by a full 500 years.
ChatGPT:
In total, Archimedes’ discovery of calculus could plausibly have advanced mathematics by nearly two millennia while accelerating many areas of engineering and science by several centuries. Even so, a full technological revolution would still have depended on whether later generations preserved, taught, and built upon his discoveries rather than allowing them to be lost.