Apology, Crito, and Phaedo of Socrates

"Thus, then, Simmias has the appellation of being both little and great, being between both, by exceeding the littleness of one through his own magnitude, and to the other yielding a magnitude that exceeds his own littleness." And at the same time, smiling, he said, "I seem to speak with the precision of a short-hand writer; however, it is as I say."

118. "But I say it for this reason, wishing you to be of the same opinion as myself. For it appears to me, not only that magnitude itself is never disposed to be at the same time great and little, but that magnitude in us never admits the little nor is disposed to be exceeded, but one of two things, either to flee and withdraw when its contrary, the little, approaches it, or, when it has actually come, to perish; but that it is not disposed, by sustaining and receiving littleness, to be different from what it was. Just as I, having received and sustained littleness, and still continuing the person that I am, am this same little person; but that, while it is great, never endures to be little. And, in like manner, the little that is in us is not disposed at any time to become or to be great, nor is any thing else among contraries, while it continues what it was, at the same time disposed to become and to be its contrary; but in this contingency it either departs or perishes."

But some one of those present, on hearing this, I do not clearly remember who he was, said, "By the gods! was not the very contrary of what is now asserted admitted in the former part of our discussion, that the greater is produced from the less, and the less from the greater, and, in a word, that the very production of contraries is from contraries? But now it appears to me to be asserted that this can never be the case."

Upon this Socrates, having leaned his head forward and listened, said, "You have reminded me in a manly way; you do not, however, perceive the difference between what is now and what was then asserted. For then it was said that a contrary thing is produced from a contrary; but now, that a contrary can never become contrary to itself—neither that which is in us, nor that which is in nature. For then, my friend, we spoke of things that have contraries, calling them by the appellation of those things; but now we are speaking of those very things from the presence of which things so called receive their appellation, and of these very things we say that they are never disposed to admit of production from each other." 120. And, at the same time looking at Cebes, "Has anything that has been said, Cebes, disturbed you?"

"It happens, then," he continued, "with respect to some of such things, that not only is the idea itself always thought worthy of the same appellation, but likewise something else which is not, indeed, that idea itself, but constantly retains its form so long as it exists. What I mean will perhaps be clearer in the following examples: the odd in number must always possess the name by which we now call it, must it not?"

"Must it alone, of all things—for this I ask—or is there any thing else which is not the same as the odd, but yet which we must always call odd, together with its own name, because it is so constituted by nature that it can never be without the odd? But this, I say, is the case with the number three, and many others. For consider with respect to the number three: does it not appear to you that it must always be called by its own name, as well as by that of the odd, which is not the same as the number three? Yet such is the nature of the number three, five, and the entire half of number, that though they are not the same as the odd, yet each of them is always odd. And, again, two and four, and the whole other series of number, though not the same as the even, are nevertheless each of them always even: do you admit this, or not?"

"Observe then," said he, "what I wish to prove. It is this—that it appears not only that these contraries do not admit each other, but that even such things as are not contrary to each other, and yet always possess contraries, do not appear to admit that idea which is contrary to the idea that exists in themselves, but, when it approaches, perish or depart. Shall we not allow that the number three would first perish, and suffer any thing whatever, rather than endure, while it is still three, to become even?"