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Plato, Republic, Book 7, section 528b (search)
Untersuch. Heft 24), Berlin, 1917; E. Hoppe, Mathematik und Astronomie im klass. Altertum, pp. 133 ff.; Rudolf Eberling, Mathematik und Philosophie bei Plato,Münden, 1909, with my review in Class. Phil. v. (1910) p. 114; Seth Demel, Platons Verhältnis zur Mathematik,Leipzig, with my review, Class. Phil. xxiv. (1929) pp. 312-313; and, for further bibliography on Plato and mathematics, Budé, Rep.Introd. pp. lxx-lxxi.” “There are two causes of that,” said I: “first, inasmuch as no city holds them in honor, these inquiries are languidly pursued owing to their difficulty. And secondly, the investigators need a director,Plato is perhaps speaking from personal experience as director
Plato, Republic, Book 7, section 529a (search)
For it is obvious to everybody, I think, that this study certainly compels the soul to look upwardCf. my review if Warburg, Class. Phil. xxiv. (1929) p. 319. The dramatic misunderstanding forestalls a possible understanding by the reader. Cf. on 523 B. The misapprehension is typical of modern misunderstandings. Glaucon is here the prototype of all sentimental Platonists or anti-Platonists. The meaning of “higher” things in Plato's allegory is obvious. But Glaucon takes it literally. Similarly, modern critics, taking Plato's imagery literally and pressing single expressions apart from the total context, have inferred that Plato would be hostile to all the applications of modern science to experience. They refuse to make allowan
Plato, Republic, Book 7, section 531a (search)
mathematics to the perception of sound instead of developing a (Kantian)a priori science of harmony to match the mathematical science of astronomy. Cf. also p. 193, note g, on 531 B, W. Whewell, Transaction of the Cabridge Philos. Soc. vol. ix. p. 389, and for music A. Rivaud, “Platon et la musique,”Rev. d’Histoire de la Philos. 1929, pp. 1-30; also Stallbaum ad loc., and E. Frank, Platon u. d. sog. Pyth.,Anhang, on the history of Greek music. He expresses surprise (p. 199) that Glaucon knows nothing of Pythagorean theories of music. Others use this to prove Socrates' ignorance of music.? They transfer it to hearing and measure audible concords and sounds against one another,This hints at the distinction dev<
Plato, Republic, Book 7, section 538e (search)
ve that this thing is no more honorable than it is base,This is the oral counterpart of the intellectual skepticism or MISOLOGI/A of Phaedo 90 C-D. Cf. What Plato Said, p. 531, on Phaedo 89. and when he has had the same experience about the just and the good and everything that he chiefly held in esteem, how do you suppose that he will conduct himself thereafter in the matter of respect and obedience to this traditional morality?” “It is inevitable,” he said, “that he will not continue to honor and obey as before.” “And then,” said I, “when he ceases to honor these principles and to think that they are binding on him,For OI)KEI=A Cf. 433 E, 433 D, and Class. Phil. xxiv. (1929) pp. 409-410. and cannot discover the t