Page - 653 - in The Complete Plato

SOCRATES: And further, when any one wishes to catch any of these knowledges or sciences, and having taken, to hold it, and again to let them go, how will he express himself?—will he describe the ‘catching’ of them and the original ‘possession’ in the same words? I will make my meaning clearer by an example:—You admit that there is an art of arithmetic? THEAETETUS: To be sure. SOCRATES: Conceive this under the form of a hunt after the science of odd and even in general. THEAETETUS: I follow. SOCRATES: Having the use of the art, the arithmetician, if I am not mistaken, has the conceptions of number under his hand, and can transmit them to another. THEAETETUS: Yes. SOCRATES: And when transmitting them he may be said to teach them, and when receiving to learn them, and when receiving to learn them, and when having them in possession in the aforesaid aviary he may be said to know them. THEAETETUS: Exactly. SOCRATES: Attend to what follows: must not the perfect arithmetician know all numbers, for he has the science of all numbers in his mind? THEAETETUS: True. SOCRATES: And he can reckon abstract numbers in his head, or things about him which are numerable? THEAETETUS: Of course he can. SOCRATES: And to reckon is simply to consider how much such and such a number amounts to? THEAETETUS: Very true. SOCRATES: And so he appears to be searching into something which he knows, as if he did not know it, for we have already admitted that he knows all numbers;—you have heard these perplexing questions raised? THEAETETUS: I have. SOCRATES: May we not pursue the image of the doves, and say that the chase after knowledge is of two kinds? one kind is prior to possession and for the sake of possession, and the other for the sake of taking and holding in the hands that which is possessed already. And thus, when a man has learned and 653