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İngilizce Yunanca

56–57

Protarchus

Pro. Certainly, Socrates; you are right. 10

Socrates

Soc. Let us, then, divide the arts, as they are called, into two kinds, those which resemble music, and have less accuracy in their works, and those which, like building, are more exact.

Protarchus

Pro. Agreed.

Socrates

Soc. And of these the most exact are the arts which I just now mentioned first.

Protarchus

Pro. I think you mean arithmetic and the other arts you mentioned with it just now.

Socrates

Soc. Certainly. But, Protarchus, ought not these to be divided into two kinds? What do you say? 15

Protarchus

Pro. What kinds?

Socrates

Soc. Are there not two kinds of arithmetic, that of the people and that of philosophers?

Protarchus

Pro. How can one kind of arithmetic be distinguished from the other?

Socrates

Soc. The distinction is no small one, Protarchus. For some arithmeticians reckon unequal units, for instance, two armies and two oxen and two very small or incomparably large units; whereas others refuse to agree with them unless each of countless units is declared to differ not at all from each and every other unit.

Protarchus

Pro. You are certainly quite right in saying that there is a great difference between the devotees of arithmetic, so it is reasonable to assume that it is of two kinds. 20

Socrates

Soc. And how about the arts of reckoning and measuring as they are used in building and in trade when compared with philosophical geometry and elaborate computations—shall we speak of each of these as one or as two?

Protarchus

Pro. On the analogy of the previous example, I should say that each of them was two.

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56–57

Şifre Yenileme