By Tito M. Tonietti
We carry into complete gentle a few excerpts on musical matters that have been beforehand scattered in the course of the most famed medical texts. the most clinical and musical cultures open air 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 assessment of a number of the dominant languages utilized in the several historic contexts. during this quantity, the heritage of the improvement of the sciences is instructed because it occurred in genuine contexts, now not in an alienated excellent world.
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We deliver into complete mild a few excerpts on musical topics that have been in the past scattered in the course of the most famed clinical 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 this is the language they're written in.
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Additional info for And Yet It Is Heard: Musical, Multilingual and Multicultural History of the Mathematical Sciences - Volume 1
For more than 2,000 years, in Europe, Euclid will be the model that was generally shared to reason about mathematics. Rivers of ink have been consumed for him. I will not yield here to the temptation of making them more turbid, or better, more limpid, or of deviating them. However, in order to prepare ourselves for the comparison with different models of proof, we need to examine the procedure followed more closely. 41 Euclid 1956, pp. 355–356. Euclid 1956, p. 362. 43 Euclid 1956, p. 97. ” To achieve this goal, he had defined the right angle at the beginning of book one.
Only towards the middle of the twentieth century did a group of French mathematicians, united under the pseudonym of Bourbaki, try to substitute the geometrical figures of Euclid’s Elements with the formal algebraic structures inspired by Hilbert. The new Eléments de Mathématique, however, met with far less success than the model whose place they wanted to take. 5 Aristoxenus Aristoxenus (Tarentum 365/75–Athens? ) is seldom remembered in science history books. When he is mentioned, writers admit that they were forced to include him because in antiquity, the theory of music was a part of the quadrivium mentioned above.
37. 12 Plato 1994, p. 103. 13 Heath 1963, p. 107. 3 Plato 21 Plato’s arguments were based on a breakdown of the figures into triangles and their recombination. He also posited solids which corresponded to the four elements: fire with the tetrahedron, air with the octahedron, earth with the cube, and water with the icosahedron. He justified these combinations by reference to their relative stability: the cube and earth are more stable than the others. The fifth solid, the dodecahedron, represents the whole universe.
And Yet It Is Heard: Musical, Multilingual and Multicultural History of the Mathematical Sciences - Volume 1 by Tito M. Tonietti