By Tito M. Tonietti
We carry into complete gentle a few excerpts on musical matters which have been earlier scattered during the most famed medical texts. the most clinical and musical cultures outdoor of Europe also are considered. the 1st and most crucial estate to underline within the medical texts tested here's the language they're written in. which means our multicultural heritage of the sciences unavoidably additionally turns into a evaluation of a few of the dominant languages utilized in different ancient contexts. during this quantity, the background of the improvement of the sciences is advised because it occurred in actual contexts, now not in an alienated excellent world.
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Extra resources for And Yet It Is Heard: Musical, Multilingual and Multicultural History of the Mathematical Sciences - Volume 1
Cultures that are different from the Greek one followed different arguments, which, however, are to be considered equally valid. On the basis of what criterion may we expect to impose a hierarchy of ours from Europe? Unfortunately, we shall see that historical events offer only one. Then it must be the one sustained by Plato: war. But will our moral principles be prepared to accept it? For more than 2,000 years, in Europe, Euclid will be the model that was generally shared to reason about mathematics.
The fresco by Raffaello Sanzio “Causarum cognitio [knowledge of causes]”, in the Vatican in Rome, is also famous; in this painting, together with Plato with his Timaeus, indicating the sky, and Aristotle with his Ethics, we can find allegories of geometry, astronomy and music. In his Politeia [Republic], Plato wrote that he wanted to educate the soul with music, just as gymnastics is useful for the body. He was discussing how to prepare the group of people responsible for safeguarding the state by means of warfare, 14 Pacioli 1509.
Euclid shows what operation to perform in order to construct step by step a increasingly large quantity, but he avoided calling it infinite. Dedekind, Cantor and Hilbert defined as ‘infinite’ quantities that they could not succeed in constructing. There’s a big difference. Like the Plato painted by Raphael in the Vatican for the Athens school, Euclid pointed his finger upwards; and yet he still maintains some connections with the world, both in pictures and in his constructions. After Hilbert50 and his undeniable success with the mathematical community of the twentieth century, it became all too common to interpret Euclid axiomatically.
And Yet It Is Heard: Musical, Multilingual and Multicultural History of the Mathematical Sciences - Volume 1 by Tito M. Tonietti