From semantics to shipbuilding, from dream theory to propositional logic, any specialist ... is invariably astonished to discover that modern knowledge was foreshadowed at the time. ... Should we not replace these foreshadowings by the study of the influences of Hellenistic thought on modern thought?

The age-long history of thinking on gravitation, too, was erased from the collective consciousness, and that force somehow became the serendipitous child of Newton's genius. The new attitude is well illustrated by the anecdote of the apple, a legend spread by Voltaire, one of the most active and vehement erasers of the past. ... The need to build the myth of an ex nihilo creation of modern science gave rise to much impassioned rhetoric.

Euclid manages to obtain a rigorous proof without ever dealing with infinity, by reducing the problem [of the infinitude of primes] to the study of finite numbers. This is exactly what contemporary mathematical analysis does.

Today Eratosthenes' method [of calculating the circumference of the earth] seems almost banal... yet it is inaccessible to prescientific civilizations, and in all of Antiquity not a single Latin author succeeded in stating it coherently.

Unfortunately, the optimistic view that "classical civilization" handed down certain fundamental works that managed to include the knowledge contained in the lost writings has proved groundless. In fact, in the face of a general regression in the level of civilization, it's never the best works that will be saved through an automatic process of natural selection.

About Archimedes one remembers that he did strange things: he ran around naked shouting 'Heureka!', plunged crowns into water, drew geometric figures as he was about to be killed, and so on. One ends up forgetting he was a scientist of whom we still have many writings.

The oft-heard comment that Leonardo [da Vinci]'s genius managed to transcend the culture of his time is amply justified. But his was not a science-fiction voyage into the future as much as a plunge into the past.