Theaetetus
Plato
Plato in Twelve Volumes, Vol. 7 translated by Harold North Fowler. Cambridge, MA, Harvard University Press; London, William Heinemann Ltd. 1921.
SOC. You are putting up a brave fight, Theaetetus. But is not the all precisely that of which nothing is wanting?
THEAET. Necessarily.
SOC. And is not just this same thing, from which nothing whatsoever is lacking, a whole? For that from which anything is lacking is neither a whole nor all, which have become identical simultaneously and for the same reason.
THEAET. I think now that there is no difference between all and whole.
SOC. We were saying, were we not, that if there are parts of anything, the whole and all of it will be all the parts?
THEAET. Certainly.
SOC. Once more, then, as I was trying to say just now, if the syllable is not the letters, does it not follow necessarily that it contains the letters, not as parts of it, or else that being the same as the letters, it is equally knowable with them?
THEAET. It does.
SOC. And it was in order to avoid this that we assumed that it was different from them?
THEAET. Yes.
SOC. Well then, if the letters are not parts of the syllable, can you mention any other things which are parts of it, but are not the letters [*](The reader is reminded that words στοιχεῖον and συλλαβή have the meanings element and combination as well as letter and syllable.) of it?
THEAET. Certainly not. For if I grant that there are parts of the syllable, it would be ridiculous to give up the letters and look for other things as parts.
SOC. Without question, then, Theaetetus, the syllable would be, according to our present view, some indivisible concept.
THEAET. I agree.
SOC. Do you remember, then, my friend, that we admitted a little while ago, on what we considered good grounds, that there can be no rational explanation of the primary elements of which other things are composed, because each of them, when taken by itself, is not composite, and we could not properly apply to such an element even the expression be or this, because these terms are different and alien, and for this reason it is irrational and unknowable?
THEAET. I remember.
SOC. And is not this the sole reason why it is single in form and indivisible? I can see no other.
THEAET. There is no other to be seen.
SOC. Then the syllable falls into the same class with the letter, if it has no parts and is a single form?
THEAET. Yes, unquestionably.
SOC. If, then, the syllable is a plurality of letters and is a whole of which the letters are parts, the syllables and the letters are equally knowable and expressible, if all the parts were found to be the same as the whole.
THEAET. Certainly.
SOC. But if one and indivisible, then syllable and likewise letter are equally irrational and unknowable; for the same cause will make them so.
THEAET. I cannot dispute it.
SOC. Then we must not accept the statement of any one who says that the syllable is knowable and expressible, but the letter is not.
THEAET. No, not if we are convinced by our argument.
SOC. But would you not rather accept the opposite belief, judging by your own experience when you were learning to read?
THEAET. What experience?
SOC. In learning, you were merely constantly trying to distinguish between the letters both by sight and by hearing, keeping each of them distinct from the rest, that you might not be disturbed by their sequence when they were spoken or written.
THEAET. That is very true.
SOC. And in the music school was not perfect attainment the ability to follow each note and tell which string produced it; and everyone would agree that the notes are the elements of music?
THEAET. Yes, that is all true.
SOC. Then if we are to argue from the elements and combinations in which we ourselves have experience to other things in general, we shall say that the elements as a class admit of a much clearer knowledge than the compounds and of a knowledge that is much more important for the complete attainment of each branch of learning, and if anyone says that the compound is by its nature knowable and the element unknowable, we shall consider that he is, intentionally or unintentionally, joking.
THEAET. Certainly.
SOC. Still other proofs of this might be brought out, I think; but let us not on that account lose sight of the question before us, which is: What is meant by the doctrine that the most perfect knowledge arises from the addition of rational explanation to true opinion?
THEAET. No, we must not.
SOC. Now what are we intended to understand by rational explanation? I think it means one of three things.
THEAET. What are they?
SOC. The first would be making one’s own thought clear through speech by means of verbs and nouns, imaging the opinion in the stream that flows through the lips, as in a mirror or water. Do you not think the rational explanation is something of that sort?
THEAET. Yes, I do. At any rate, we say that he who does that speaks or explains.
SOC. Well, that is a thing that anyone can do sooner or later; he can show what he thinks about anything, unless he is deaf or dumb from the first; and so all who have any right opinion will be found to have it with the addition of rational explanation, and there will henceforth be no possibility of right opinion apart from knowledge.
THEAET. True.
SOC. Let us not, therefore, carelessly accuse him of talking nonsense who gave the definition of knowledge which we are now considering; for perhaps that is not what he meant. He may have meant that each person if asked about anything must be able in reply to give his questioner an account of it in terms of its elements.
THEAET. As for example, Socrates?
SOC. As, for example, Hesiod, speaking of a wagon, says,
a hundred pieces of wood in a wagon.[*](Hes. WD 456) Now I could not name the pieces, nor, I fancy, could you; but if we were asked what a wagon is, we should be satisfied if we could say wheels, axle, body, rims, yoke.
THEAET. Certainly.
SOC. But he, perhaps, would think we were ridiculous, just as he would if, on being asked about your name, we should reply by telling the syllables, holding a right opinion and expressing correctly what we have to say, but should think we were grammarians and as such both possessed and were expressing as grammarians would the rational explanation of the name Theaetetus. He would say that it is impossible for anyone to give a rational explanation of anything with knowledge, until he gives a complete enumeration of the elements, combined with true opinion. That, I believe, is what was said before.
THEAET. Yes, it was.
SOC. So, too, he would say that we have right opinion about a wagon, but that he who can give an account of its essential nature in terms of those one hundred parts has by this addition added rational explanation to true opinion and has acquired technical knowledge of the essential nature of a wagon, in place of mere opinion, by describing the whole in terms of its elements.
THEAET. Do you agree to that, Socrates?
SOC. If you, my friend, agree to it and accept the view that orderly description in terms of its elements is a rational account of anything, but that description in terms of syllables or still larger units is irrational, tell me so, that we may examine the question.
THEAET. Certainly I accept it.
SOC. Do you accept it in the belief that anyone has knowledge of anything when he thinks that the same element is a part sometimes of one thing and sometimes of another or when he is of opinion that the same thing has as a part of it sometimes one thing and sometimes another?
THEAET. Not at all, by Zeus.
SOC. Then do you forget that when you began to learn to read you and the others did just that?
THEAET. Do you mean when we thought that sometimes one letter and sometimes another belonged to the same syllable, and when we put the same letter sometimes into the proper syllable and sometimes into another?
SOC. That is what I mean.
THEAET. By Zeus, I do not forget, nor do I think that those have knowledge who are in that condition.