Theaetetus by Plato
page 111 of 232 (47%)
page 111 of 232 (47%)
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answer the name of some art or science is ridiculous; for the question is,
'What is knowledge?' and he replies, 'A knowledge of this or that.' THEAETETUS: True. SOCRATES: Moreover, he might answer shortly and simply, but he makes an enormous circuit. For example, when asked about the clay, he might have said simply, that clay is moistened earth--what sort of clay is not to the point. THEAETETUS: Yes, Socrates, there is no difficulty as you put the question. You mean, if I am not mistaken, something like what occurred to me and to my friend here, your namesake Socrates, in a recent discussion. SOCRATES: What was that, Theaetetus? THEAETETUS: Theodorus was writing out for us something about roots, such as the roots of three or five, showing that they are incommensurable by the unit: he selected other examples up to seventeen --there he stopped. Now as there are innumerable roots, the notion occurred to us of attempting to include them all under one name or class. SOCRATES: And did you find such a class? THEAETETUS: I think that we did; but I should like to have your opinion. SOCRATES: Let me hear. THEAETETUS: We divided all numbers into two classes: those which are made up of equal factors multiplying into one another, which we compared to |
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