Plato : PARMENIDES Persons of the dialogue: Cephalus - Adeimantus - Glaucon - Antiphon  - Pythodorus - Socrates - Zeno - Parmenides - Aristoteles Translated by Benjamin Jowett - 75 Pages - Greek fonts Search Plato's works / Plato Anthology / The Greek Word Library = Note by Elpenor

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Page 30

Then, if the individuals of the pair are together two, they must be severally one?

Clearly.

And if each of them is one, then by the addition of any one to any pair, the whole becomes three?

Yes.

And three are odd, and two are even?

Of course.

And if there are two there must also be twice, and if there are three there must be thrice; that is, if twice one makes two, and thrice one three?

Certainly.

There are two, and twice, and therefore there must be twice two; and there are three, and there is thrice, and therefore there must be thrice three?

Of course.

If there are three and twice, there is twice three; and if there are two and thrice, there is thrice two?

Undoubtedly.

Here, then, we have even taken even times, and odd taken odd times, and even taken odd times, and odd taken even times.

True.

And if this is so, does any number remain which has no necessity to be?

None whatever.

Then if one is, number must also be?

It must.

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