Socrates: That is of six?
Theaetetus: Yes.
Socrates: And in each form of expression we spoke of all the six?
Theaetetus: True.
Socrates: Again, in speaking of all (in the plural) is there not one thing which we express?
Theaetetus: Of course there is.
Socrates: And that is six?
Theaetetus: Yes.
Socrates: Then in predicating the word “all” of things measured by number, we predicate at the same time a singular and a plural?
Theaetetus: Clearly we do.
Socrates: Again, the number of the acre and the acre are the same; are they not?
Theaetetus: Yes.
Socrates: And the number of the stadium in like manner is the stadium?
Theaetetus: Yes.
Socrates: And the army is the number of the army; and in all similar cases, the entire number of anything is the entire thing?
Theaetetus: True.
Socrates: And the number of each is the parts of each?
Theaetetus: Exactly.
Socrates: Then as many things as have parts are made up of parts?
Theaetetus: Clearly.
Socrates: But all the parts are admitted to be the all, if the entire number is the all?
Theaetetus: True.
Socrates: Then the whole is not made up of parts, for it would be the all, if consisting of all the parts?
Theaetetus: That is the inference.
Socrates: But is a part a part of anything but the whole?