Philebus

SOCRATES: Heavens! Protarchus, that will be a tedious business, and just at present not at all an easy one. For in going to war in the cause of mind, who is aspiring to the second prize, I ought to have weapons of another make from those which I used before; some, however, of the old ones may do again. And must I then finish the argument?

SOCRATES: And now consider well; for the question to which I invite your attention is difficult and controverted. When you speak of hotter and colder, can you conceive any limit in those qualities? Does not the more and less, which dwells in their very nature, prevent their having any end? for if they had an end, the more and less would themselves have an end.

SOCRATES: Yes, my dear Protarchus, and your answer reminds me that such an expression as 'exceedingly,' which you have just uttered, and also the term 'gently,' have the same significance as more or less; for whenever they occur they do not allow of the existence of quantity—they are always introducing degrees into actions, instituting a comparison of a more or a less excessive or a more or a less gentle, and at each creation of more or less, quantity disappears. For, as I was just now saying, if quantity and measure did not disappear, but were allowed to intrude in the sphere of more and less and the other comparatives, these last would be driven out of their own domain. When definite quantity is once admitted, there can be no longer a 'hotter' or a 'colder' (for these are always progressing, and are never in one stay); but definite quantity is at rest, and has ceased to progress. Which proves that comparatives, such as the hotter and the colder, are to be ranked in the class of the infinite.

PROTARCHUS: Your remark certainly has the look of truth, Socrates; but these subjects, as you were saying, are difficult to follow at first. I think however, that if I could hear the argument repeated by you once or twice, there would be a substantial agreement between us.

SOCRATES: I want to know whether such things as appear to us to admit of more or less, or are denoted by the words 'exceedingly,' 'gently,' 'extremely,' and the like, may not be referred to the class of the infinite, which is their unity, for, as was asserted in the previous argument, all things that were divided and dispersed should be brought together, and have the mark or seal of some one nature, if possible, set upon them—do you remember?

SOCRATES: And all things which do not admit of more or less, but admit their opposites, that is to say, first of all, equality, and the equal, or again, the double, or any other ratio of number and measure—all these may, I think, be rightly reckoned by us in the class of the limited or finite; what do you say?