The Unity of Mathematics in Plato's Republic

1 - Contents [Seite 8]
2 - Preface [Seite 10]
3 - 1. Astronomy in the republic [Seite 12]
3.1 - 1.1. Introduction [Seite 12]
3.2 - 1.2. The two astronomies in R. 7 [Seite 20]
3.3 - 1.3. The contemporary astronomy familiar to Glaucon [Seite 22]
3.4 - 1.4. The hypotheses of contemporary astronomy [Seite 31]
3.5 - 1.5. The criticism of contemporary astronomy [Seite 35]
3.6 - 1.6. The future astronomy envisioned by Socrates [Seite 47]
3.7 - 1.7. The future astronomy and solid geometry [Seite 57]
4 - 2. The unity of mathematics in the republic [Seite 72]
4.1 - 2.1. Introduction [Seite 72]
4.2 - 2.2. Arithmetic as unifier of mathematics [Seite 75]
4.3 - 2.3. Proportion-theory as unifier of mathematics [Seite 83]
4.4 - 2.4. Mutual benefit as unifier of mathematics [Seite 84]
4.5 - 2.5. The unity of soul and Callipolis as mutual benefit of their parts [Seite 87]
4.6 - 2.6. The unity of mathematics and the Meno [Seite 91]
4.7 - 2.7. Two modern mathematicians on the unity of mathematics [Seite 95]
4.8 - 2.8. Albert Lautman on the unity of mathematics [Seite 96]
4.9 - 2.9. Mathematics and philosophy [Seite 99]
5 - 3. The myth about Plato's role in the development of mathematics [Seite 104]
5.1 - 3.1. Plato's role in the development of astronomy [Seite 104]
5.2 - 3.2. The tradition of the delian problem and its sources [Seite 110]
5.3 - 3.3. The sources of the myth about plato's impact on astronomy [Seite 121]
6 - Bibliography [Seite 133]
7 - Index of passages [Seite 137]