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

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In summary, Plato's writings are significant for understanding mathematics as they provide insight into the development of mathematical thought in ancient Greece. He approaches the concept of mathematics through his belief in the existence of abstract forms or ideas and discusses a variety of mathematical concepts in his works. His approach differs from other ancient philosophers in his focus on abstract thought and the pursuit of knowledge for its own sake. Today, Plato's ideas on mathematics continue to be studied and have influenced the development of modern mathematics.
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Kobzar
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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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  • #2
Your answer and workings are correct.

See here.
 
  • #3
MountEvariste said:
Your answer and workings are correct.

See here.
Thank you very much!
 

1. What role does mathematics play in Plato's writings?

Mathematics plays a central role in Plato's writings, as he believed that it was the key to understanding the fundamental nature of reality. He saw mathematics as a way to access the eternal and unchanging realm of Forms, which he believed to be the true reality behind the physical world.

2. How did Plato use mathematics in his philosophy?

Plato used mathematics as a tool to illustrate his philosophical ideas and concepts. He often used mathematical concepts such as geometry and number theory to explain abstract concepts, such as the nature of knowledge and the human soul.

3. What is the significance of Plato's Allegory of the Cave in relation to mathematics?

The Allegory of the Cave is a famous metaphor used by Plato to explain the journey of the soul towards enlightenment. In this allegory, he compares the process of learning and understanding to the process of leaving a dark cave and seeing the light of the sun. This can be interpreted as a metaphor for the journey towards understanding the true nature of reality through the study of mathematics.

4. How did Plato's views on mathematics influence later philosophers and scientists?

Plato's ideas about mathematics had a significant impact on later philosophers and scientists. His belief in the existence of an eternal and unchanging realm of Forms influenced the work of philosophers such as Aristotle and Descartes. His emphasis on the importance of mathematical reasoning also had a profound influence on the development of modern science.

5. Can we still apply Plato's ideas about mathematics in modern times?

While some of Plato's specific ideas about mathematics may not be applicable in modern times, his emphasis on the importance of mathematical reasoning and its role in understanding reality is still relevant. Many of his ideas, such as the use of abstract mathematical concepts to explain complex ideas, continue to be used in various fields of study today.

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