Plato : POLITEIA Persons of the dialogue: Socrates - Glaucon - Polemarchus  - Adeimantus - Cephalus - Thrasymachus - Cleitophon Translated by Benjamin Jowett - 71 Pages (Part 4) - Greek fonts Search Plato's works / Plato Anthology / The Greek Word Library = Note by Elpenor

POLITEIA part 4 of 5

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Part 4 Page 23

This was what I meant when I spoke of impressions which invited the intellect, or the reverse — those which are simultaneous with opposite impressions, invite thought; those which are not simultaneous do not.

I understand, he said, and agree with you.

And to which class do unity and number belong?

I do not know, he replied.

Think a little and you will see that what has preceded will supply the answer; for if simple unity could be adequately perceived by the sight or by any other sense, then, as we were saying in the case of the finger, there would be nothing to attract towards being; but when there is some contradiction always present, and one is the reverse of one and involves the conception of plurality, then thought begins to be aroused within us, and the soul perplexed and wanting to arrive at a decision asks 'What is absolute unity?' This is the way in which the study of the one has a power of drawing and converting the mind to the contemplation of true being.

And surely, he said, this occurs notably in the case of one; for we see the same thing to be both one and infinite in multitude?

Yes, I said; and this being true of one must be equally true of all number?

Certainly.

And all arithmetic and calculation have to do with number?

Yes.

And they appear to lead the mind towards truth?

Yes, in a very remarkable manner.

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