Republic

For anyone acquainted with geometry who saw such designs would admit the beauty of the workmanship, but would think it absurd to examine them seriously in the expectation of finding in them the absolute truth with regard to equals or doubles or any other ratio.” “How could it be otherwise than absurd?” he said. “Do you not think,” said I, “that one who was an astronomer in very truth would feel in the same way when he turned his eyes upon the movements of the stars? He will be willing to concede that the artisan of heaven fashioned it and all that it contains in the best possible manner for such a fabric; but when it comes to the proportions of day and night, and of their relation to the month, and that of the month to the year, and of the other stars to these and one another, do you not suppose that he will regard as a very strange fellow the man who believes that these things go on for ever without change or the least deviation—though they possess bodies and are visible objects—and that his unremitting quest the realities of these things?” “I at least do think so,” he said, “now that I hear it from you.” “It is by means of problems, then,” said I, “as in the study of geometry, that we will pursue astronomy too, and we will let be the things in the heavens, if we are to have a part in the true science of astronomy and so convert to right use from uselessness that natural indwelling intelligence of the soul.” “You enjoin a task,” he said, “that will multiply the labor of our present study of astronomy many times.” “And I fancy,” I said, “that our other injunctions will be of the same kind if we are of any use as lawgivers. “However, what suitable studies have you to suggest?” Nothing, he said, “thus off-hand.” “Yet, surely,” said I, “motion in general provides not one but many forms or species, according to my opinion. To enumerate them all will perhaps be the task of a wise man, but even to us two of them are apparent.” “What are they?” “In addition to astronomy, its counterpart, I replied.” “What is that?” “We may venture to suppose,” I said, “that as the eyes are framed for astronomy so the ears are framed, for the movements of harmony; and these are in some sort kindred sciences, as the Pythagoreans affirm and we admit, do we not, Glaucon?” “We do,” he said. Then, said I, since the task is, so great, shall we not inquire of them what their opinion is and whether they have anything to add? And we in all this will be on the watch for what concerns us.” “What is that?” “To prevent our fosterlings from attempting to learn anything that does not conduce to the end we have in view, and does not always come out at what we said ought to be the goal of everything, as we were just now saying about astronomy.