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… - Lucio Russo

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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.

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About Lucio Russo

Lucio Russo (22 November 1944 – 12 July 2025) was an Italian physicist, mathematician and historian of science.

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Additional quotes by Lucio Russo

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.

Many scholars have felt that the Heronian passage [on a pipe-organ moved by an anemourion-like wheel] can be disregarded because it is not confirmed by other writings. Heron presumably mentioned the anemourion in a moment of distraction, forgetting that it had not been invented yet. We know that he was given to such lapses.

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