Thales plants a stick in the ground, waits for the perfect angle of the sun, and measures the height of the Great Pyramid of Khufu without ever climbing a single step. The scene is fascinating. But it raises a question far more unsettling than the calculation itself: that morning, did he invent something, or did he simply see what was already there?
Are mathematics an invention of the human mind, or the discovery of laws that existed long before us? Newton and Leibniz developed calculus at the same time, completely independently, thousands of miles apart. The Babylonians knew the Pythagorean theorem before Pythagoras. Complex numbers, invented as a purely abstract game, turned out to be essential to quantum mechanics centuries later.
This is not a textbook question. It is a question of philosophy of mathematics, and it has no definitive answer. That is precisely why it deserves to be asked.