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The Unity of Mathematics in Plato's Republic
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Stuttgart :
Franz Steiner Verlag,
2016.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Intro; Contents; Preface; 1. Astronomy in the republic; 1.1. Introduction; 1.2. The two astronomies in R. 7; 1.3. The contemporary astronomy familiar to Glaucon; 1.4. The hypotheses of contemporary astronomy; 1.5. The criticism of contemporary astronomy; 1.6. The future astronomy envisioned by Socrates; 1.7. The future astronomy and solid geometry; 2. The unity of mathematics in the republic; 2.1. Introduction; 2.2. Arithmetic as unifier of mathematics; 2.3. Proportion-theory as unifier of mathematics; 2.4. Mutual benefit as unifier of mathematics
- 2.5. The unity of soul and Callipolis as mutual benefit of their parts2.6. The unity of mathematics and the Meno; 2.7. Two modern mathematicians on the unity of mathematics; 2.8. Albert Lautman on the unity of mathematics; 2.9. Mathematics and philosophy; 3. The myth about Plato's role in the development of mathematics; 3.1. Plato's role in the development of astronomy; 3.2. The tradition of the delian problem and its sources; 3.3. The sources of the myth about plato's impact on astronomy; Bibliography; Index of passages