ul contradictions, as Protagoras and all who take
his line of argument would remark.
THEAETETUS: How? and of what sort do you mean?
SOCRATES: A little instance will sufficiently explain my meaning: Here
are six dice, which are more by a half when compared with four, and
fewer by a half than twelve--they are more and also fewer. How can you
or any one maintain the contrary?
THEAETETUS: Very true.
SOCRATES: Well, then, suppose that Protagoras or some one asks whether
anything can become greater or more if not by increasing, how would you
answer him, Theaetetus?
THEAETETUS: I should say 'No,' Socrates, if I were to speak my mind
in reference to this last question, and if I were not afraid of
contradicting my former answer.
SOCRATES: Capital! excellent! spoken like an oracle, my boy! And if you
reply 'Yes,' there will be a case for Euripides; for our tongue will be
unconvinced, but not our mind. (In allusion to the well-known line of
Euripides, Hippol.: e gloss omomoch e de thren anomotos.)
THEAETETUS: Very true.
SOCRATES: The thoroughbred Sophists, who know all that can be known
about the mind, and argue only out of the superfluity of their wits,
would have had a regular sparring-match over this, and would have
knocked their arguments together finely. But you and I, who have no
professional aims, only desire to see what is the mutual relation of
these principles,--whether they are consistent with each or not.
THEAETETUS: Yes, that would be my desire.
SOCRATES: And mine too. But since this is our feeling, and there is
plenty of time, why should we not calmly and patiently review our own
thoughts, and thoroughly examine and see what these appearances in
us really are? If I am not mistaken, they will be described by us as
follows:--first, that nothing can become greater or less, either in
number or magnitude, while remaining equal to itself--you would agree?
THEAETETUS: Yes.
SOCRATES: Secondly, that without addition or subtraction there is no
increase or diminution of anything, but only equality.
THEAETETUS: Quite true.
SOCRATES: Thirdly, that what was not before cannot be afterwards,
without becoming and having become.
THEAETETUS: Yes, truly.
SOCRATES: These three axioms, if I am not mistaken, are fighting with
one another in our minds in the case of the dice, or, again, in such a
case as this--if I were to say that I, who am of a certain height and
taller than you, may within a year, wit
|