Part 10 (1/2)

”By Jupiter! we most a.s.suredly do allow it,” replied Simmias.

51. ”And do we know what it is itself?”

”Certainly,” he replied.

”Whence have we derived the knowledge of it? Is it not from the things we have just now mentioned, and that from seeing logs, or stones, or other things of the kind, equal, we have from these formed an idea of that which is different from these--for does it not appear to you to be different? Consider the matter thus. Do not stones that are equal, and logs sometimes that are the same, appear at one time equal, and at another not?”

”Certainly.”

”But what? Does abstract equality ever appear to you unequal? or equality inequality?”

”Never, Socrates, at any time.”

”These equal things, then,” he said, ”and abstract equality, are not the same?”

”By no means, Socrates, as it appears.”

”However, from these equal things,” he said, ”which are different from that abstract equality, have you not formed your idea and derived your knowledge of it?”

”You speak most truly,” he replied.

”Is it not, therefore, from its being like or unlike them?”

”Certainly.”

”But it makes no difference,” he said. ”When, therefore, on seeing one thing, you form, from the sight of it, the notion of another, whether like or unlike, this,” he said, ”must necessarily be reminiscence.”

”Certainly.”

52. ”What, then, as to this?” he continued. ”Are we affected in any such way with regard to logs and the equal things we have just now spoken of?

And do they appear to us to be equal in the same manner as abstract equality itself is, or do they fall short in some degree, or not at all, of being such as equality itself is?”

”They fall far short,” he replied.

”Do we admit, then, that when one, on beholding some particular thing, perceives that it aims, as that which I now see, at being like something else that exists, but falls short of it, and can not become such as that is, but is inferior to it--do we admit that he who perceives this must necessarily have had a previous knowledge of that which he says it resembles, though imperfectly?”

”It is necessary.”

”What, then? Are we affected in some such way, or not, with respect to things equal and abstract equality itself?”

”a.s.suredly.”

”It is necessary, therefore, that we must have known abstract equality before the time when, on first seeing equal things, we perceived that they all aimed at resembling equality, but failed in doing so.”

”Such is the case.”

53. ”Moreover, we admit this too, that we perceived this, and could not possibly perceive it by any other means than the sight, or touch, or some other of the senses, for I say the same of them all.”

”For they are the same, Socrates, so far as, our argument is concerned.”