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Plato : PHILEBUS
Persons of the dialogue: Socrates - Protarchus - Philebus = Note by Elpenor |
79 Pages
Page 18
Soc. Let us begin with the first three; and as we find two out of the three greatly divided and dispersed, let us endeavour to reunite them, and see how in each of them there is a one and many.
Pro. If you would explain to me a little more about them, perhaps I might be able to follow you.
Soc. Well, the two classes are the same which I mentioned before, one the finite, and the other the infinite; I will first show that the infinite is in a certain sense many, and the finite may be hereafter discussed.
Pro. I agree.
Soc. 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.
Pro. That is most true.
Soc. Ever, as we say, into the hotter and the colder there enters a more and a less.
Pro. Yes.
Soc. Then, says the argument, there is never any end of them, and being endless they must also be infinite.
Pro. Yes, Socrates, that is exceedingly true.
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