Page - 874 - in The Complete Plato

PROTARCHUS: Nothing. SOCRATES: But when you have learned what sounds are high and what low, and the number and nature of the intervals and their limits or proportions, and the systems compounded out of them, which our fathers discovered, and have handed down to us who are their descendants under the name of harmonies; and the affections corresponding to them in the movements of the human body, which when measured by numbers ought, as they say, to be called rhythms and measures; and they tell us that the same principle should be applied to every one and many;—when, I say, you have learned all this, then, my dear friend, you are perfect; and you may be said to understand any other subject, when you have a similar grasp of it. But the infinity of kinds and the infinity of individuals which there is in each of them, when not classified, creates in every one of us a state of infinite ignorance; and he who never looks for number in anything, will not himself be looked for in the number of famous men. PROTARCHUS: I think that what Socrates is now saying is excellent, Philebus. PHILEBUS: I think so too, but how do his words bear upon us and upon the argument? SOCRATES: Philebus is right in asking that question of us, Protarchus. PROTARCHUS: Indeed he is, and you must answer him. SOCRATES: I will; but you must let me make one little remark first about these matters; I was saying, that he who begins with any individual unity, should proceed from that, not to infinity, but to a definite number, and now I say conversely, that he who has to begin with infinity should not jump to unity, but he should look about for some number representing a certain quantity, and thus out of all end in one. And now let us return for an illustration of our principle to the case of letters. PROTARCHUS: What do you mean? SOCRATES: Some god or divine man, who in the Egyptian legend is said to have been Theuth, observing that the human voice was infinite, first distinguished in this infinity a certain number of vowels, and then other letters which had sound, but were not pure vowels (i.e., the semivowels); these too exist in a definite number; and lastly, he distinguished a third class of letters which we now call mutes, without voice and without sound, and divided these, and likewise the two other classes of vowels and semivowels, into the individual sounds, and told the number of them, and gave to each and all of them the name of letters; and observing that none of us could learn any one of 874