Section 528

Decide, then, on the spot, to which party you address yourself. Or are you speaking to neither, but chiefly carrying on the discussion for your own sake, 1 without however judging any other who may be able to profit by it?” “This is the alternative I choose,” he said, “that it is for my own sake chiefly that I speak and ask questions and reply.” “Fall back 2 a little, then,” said I; “for we just now did not rightly select the study that comes next 3 after geometry.” “What was our mistake?” he said. “After plane surfaces,” said I, “we went on to solids in revolution before studying them in themselves. The right way is next in order after the second dimension 4 to take the third. This, I suppose, is the dimension of cubes and of everything that has depth.” “Why, yes, it is,” he said; “but this subject, Socrates, does not appear to have been investigated yet. 5 ” “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, 6 who is indispensable for success and who, to begin with, is not easy to find, and then, if he could be found, as things are now, seekers in this field would be too arrogant 7 to submit to his guidance. But if the state as a whole should join in superintending these studies and honor them, these specialists would accept advice, and continuous and strenuous investigation would bring out the truth. Since even now, lightly esteemed as they are by the multitude and hampered by the ignorance of their students 8 as to the true reasons for pursuing them, 9 they nevertheless in the face of all these obstacles force their way by their inherent charm 10 and it would not surprise us if the truth about them were made apparent.” “It is true,” he said, “that they do possess an extraordinary attractiveness and charm. But explain more clearly what you were just speaking of. The investigation 11 of plane surfaces, I presume, you took to be geometry?” Yes, said I. “And then,” he said, “at first you took astronomy next and then you drew back.” Yes, I said, “for in my haste to be done I was making less speed. 12 For, while the next thing in order is the study 13 of the third dimension or solids, I passed it over because of our absurd neglect 14 to investigate it, and mentioned next after geometry astronomy, 15 which deals with the movements of solids.” “That is right,” he said. “Then, as our fourth study,” said I, “let us set down astronomy, assuming that this science, the discussion of which has been passed over, is available, 16 provided, that is, that the state pursues it.”