MHB Solving Mathematics in Plato's Writings: La leçon de Platon

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The discussion centers on the translation of "La leçon de Platon" by Dom Néroman, which explores the intersection of music theory and mathematics in Plato's writings. The translator seeks assistance with mathematical concepts to enhance the accuracy of the translation. Participants confirm the correctness of the mathematical answers provided. The conversation emphasizes the importance of understanding these mathematical principles for a faithful translation of the text. Overall, the thread highlights the relationship between mathematics and philosophy in Plato's work.
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Hello, everybody:
I am translating La leçon de Platon, by Dom Néroman (La Bégude de Mazenc, Arma Artis, 2002), which deals with music theory and mathematics in the works of Plato. The problem which brings me here is not about translation, but about mathematics, although a proper understanding of these is necessary for a proper translation. Please see attached document.
Thank you very much in advance!
All best!
 

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Your answer and workings are correct.

See here.
 
MountEvariste said:
Your answer and workings are correct.

See here.
Thank you very much!
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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