Parmenides by Plato. - HTML preview

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78

Parmenides

And if there are two there must also be twice, It must.

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

and infinite multiplicity of being; for number is Certainly.

infinite in multiplicity, and partakes also of be-There are two, and twice, and therefore there ing: am I not right?

must be twice two; and there are three, and there Certainly.

is thrice, and therefore there must be thrice And if all number participates in being, every three?

part of number will also participate?

Of course.

Yes.

If there are three and twice, there is twice three; Then being is distributed over the whole mul-and if there are two and thrice, there is thrice titude of things, and nothing that is, however two?

small or however great, is devoid of it? And, in-Undoubtedly.

deed, the very supposition of this is absurd, for Here, then, we have even taken even times, how can that which is, be devoid of being?

and odd taken odd times, and even taken odd In no way.

times, and odd taken even times.

And it is divided into the greatest and into the True.

smallest, and into being of all sizes, and is bro-And if this is so, does any number remain which ken up more than all things; the divisions of it has no necessity to be?

have no limit.

None whatever.

True.

Then if one is, number must also be?

Then it has the greatest number of parts?