No transcript available for this episode.
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 it. The scene is fascinating. But it raises a question far more troubling than the calculation itself: that morning, did he invent something, or did he simply see what was already there?
Is 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 kilometres apart. The Babylonians knew Pythagoras’ theorem before Pythagoras. Complex numbers, invented as a purely abstract game, turned out to be indispensable to quantum mechanics centuries later.
This is not a textbook question. It is a question of the philosophy of mathematics, and it has no definitive answer. That is precisely why it deserves to be asked.
Find the full transcript of this episode, along with all the sources and plenty more, at: Did mathematics exist before mathematicians?