Thesauros Literature Philosophy Θεαίτητος

Θεαίτητος

Θεαίτητος Plato

198

Socrates
SOC. Now suppose this to be a hunt after the kinds of knowledge, or sciences, of all odd and even numbers.
Theaetetus
THEAET. I do so.
Socrates
SOC. Now it is by this art, I imagine, that a man has the sciences of numbers under his own control and also that any man who transmits them to another does this. 5
Theaetetus
THEAET. Yes.
Socrates
SOC. And we say that when anyone transmits them he teaches, and when anyone receives them he learns, and when anyone, by having acquired them, has them in that aviary of ours, he knows them.
Theaetetus
THEAET. Certainly.
Socrates
SOC. Now pay attention to what follows from this. Does not the perfect arithmetician understand all numbers; for he has the sciences of all numbers in his mind?
Theaetetus
THEAET. To be sure. 10
Socrates
SOC. Then would such a man ever count anything—either any abstract numbers in his head, or any such external objects as possess number?
Theaetetus
THEAET. Of course,
Socrates
SOC. But we shall affirm that counting is the same thing as considering how great any number in question is.
Theaetetus
THEAET. We shall.
Socrates
SOC. Then he who by our previous admission knows all number is found to be considering that which he knows as if he did not know it. You have doubtless heard of such ambiguities. 15
Theaetetus
THEAET. Yes, I have.

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