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  Soc。 And is not destruction universally admitted to be the



opposite of generation?



  Pro。 Certainly。



  Soc。 Then he who chooses thus; would choose generation and



destruction rather than that third sort of life; in which; as we



were saying; was neither pleasure nor pain; but only the purest



possible thought。



  Pro。 He who would make us believe pleasure to be a good is



involved in great absurdities; Socrates。



  Soc。 Great; indeed; and there is yet another of them。



  Pro。 What is it?



  Soc。 Is there not an absurdity in arguing that there is nothing good



or noble in the body; or in anything else; but that good is in the



soul only; and that the only good of the soul is pleasure; and that



courage or temperance or understanding; or any other good of the soul;



is not really a good?…and is there not yet a further absurdity in



our being compelled to say that he who has a feeling of pain and not



of pleasure is bad at the time when he is suffering pain; even



though he be the best of men; and again; that he who has a feeling



of pleasure; in so far as he is pleased at the time when he is



pleased; in that degree excels in virtue?



  Pro。 Nothing; Socrates; can be more irrational than all this。



  Soc。 And now; having subjected pleasure to every sort of test; let



us not appear to be too sparing of mind and knowledge: let us ring



their metal bravely; and see if there be unsoundness in any part;



until we have found out what in them is of the purest nature; and then



the truest elements both of pleasure and knowledge may be brought up



for judgment。



  Pro。 Right。



  Soc。 Knowledge has two parts…the one productive; and the other



educational?



  Pro。 True。



  Soc。 And in the productive or handicraft arts; is not one part



more akin to knowledge; and the other less; and may not the one part



be regarded as the pure; and the other as the impure?



  Pro。 Certainly。



  Soc。 Let us separate the superior or dominant elements in each of



them。



  Pro。 What are they; and how do you separate them?



  Soc。 I mean to say; that if arithmetic; mensuration; and weighing be



taken away from any art; that which remains will not be much。



  Pro。 Not much; certainly。



  Soc。 The rest will be only conjecture; and the better use of the



senses which is given by experience and practice; in addition to a



certain power of guessing; which is commonly called art; and is



perfected by attention and pains。



  Pro。 Nothing more; assuredly。



  Soc。 Music; for instance; is full of this empiricism; for sounds are



harmonized; not by measure; but by skilful conjecture; the music of



the flute is always trying to guess the pitch of each vibrating



note; and is therefore mixed up with much that is doubtful and has



little which is certain。



  Pro。 Most true。



  Soc。 And the same will be found to hold good of medicine and



husbandry and piloting and generalship。



  Pro。 Very true。



  Soc。 The art of the builder; on the other hand; which uses a



number of measures and instruments; attains by their help to a greater



degree of accuracy than the other arts。



  Pro。 How is that?



  Soc。 In ship…building and house…building; and in other branches of



the art of carpentering; the builder has his rule; lathe; compass;



line; and a most ingenious machine for straightening wood。



  Pro。 Very true; Socrates。



  Soc。 Then now let us divide the arts of which we were speaking



into two kinds…the arts which; like music; are less exact in their



results; and those which; like carpentering; are more exact。



  Pro。 Let us make that division。



  Soc。 Of the latter class; the most exact of all are those which we



just now spoke of as primary。



  Pro。 I see that you mean arithmetic; and the kindred arts of



weighing and measuring。



  Soc。 Certainly; Protarchus; but are not these also distinguishable



into two kinds?



  Pro。 What are the two kinds?



  Soc。 In the first place; arithmetic is of two kinds; one of which is



popular; and the other philosophical。



  Pro。 How would you distinguish them?



  Soc。 There is a wide difference between them; Protarchus; some



arithmeticians reckon unequal units; as for example; two armies; two



oxen; two very large things or two very small things。 The party who



are opposed to them insist that every unit in ten thousand must be the



same as every other unit。



  Pro。 Undoubtedly there is; as you say; a great difference among



the votaries of the science; and there may be reasonably supposed to



be two sorts of arithmetic。



  Soc。 And when we compare the art of mensuration which is used in



building with philosophical geometry; or the art of computation



which is used in trading with exact calculation; shall we say of



either of the pairs that it is one or two?



  Pro。 On the analogy of what has preceded; I should be of opinion



that they were severally two。



  Soc。 Right; but do you understand why I have discussed the subject?



  Pro。 I think so; but I should like to be told by you。



  Soc。 The argument has all along been seeking a parallel to pleasure;



and true to that original design; has gone on to ask whether one



sort of knowledge is purer than another; as one pleasure is purer than



another。



  Pro。 Clearly; that was the intention。



  Soc。 And has not the argument in what has preceded; already shown



that the arts have different provinces; and vary in their degrees of



certainty?



  Pro。 Very true。



  Soc。 And just now did not the argument first designate a



particular art by a common term; thus making us believe in the unity



of that art; and then again; as if speaking of two different things;



proceed to enquire whether the art as pursed by philosophers; or as



pursued by non philosophers; has more of certainty and purity?



  Pro。 That is the very question which the argument is asking。





  Soc。 And how; Protarchus; shall we answer the enquiry?



  Pro。 O Socrates; we have reached a point at which the difference



of clearness in different kinds of knowledge is enormous。



  Soc。 Then the answer will be the easier。



  Pro。 Certainly; and let us say in reply; that those arts into



which arithmetic and mensuration enter; far surpass all others; and



that of these the arts or sciences which are animated by the pure



philosophic impulse are infinitely superior in accuracy and truth。



  Soc。 Then this is your judgment; and this is the answer which;



upon your authority; we will give to all masters of the art of



misinterpretation?



  Pro。 What answer?



  Soc。 That there are two arts of arithmetic; and two of



mensuration; and also several other arts which in like manner have



this double nature; and yet only one name。



  Pro。 Let us boldly return this answer to the masters of whom you



speak; Socrates; and hope for good luck。



  Soc。 We have explained what we term the most exact arts or sciences。



  Pro。 Very good。



  Soc。 And yet; Protarchus; dialectic will refuse to acknowledge us;



if we do not award to her the first place。



  Pro。 And pray; what is dialectic?



  Soc。 Clearly the science which has to do with all that knowledge



of which we are now speaking; for I am sure that all men who have a



grain of intelligence will admit that the knowledge which has to do



with being and reality; and sameness and unchangeableness; is by far



the truest of all。 But how would you decide this question; Protarchus?



  Pro。 I have often heard Gorgias maintain; Socrates; that the art



of persuasion far surpassed every other; this; as he says; is by far



the best of them all; for to it all things submit; not by



compulsion; but of their own free will。 Now; I should not like to



quarrel either with you or with him。



  Soc。 You mean to say that you would like to desert; if you were



not ashamed?



  Pro。 As you please。



  Soc。 May I not have led you into a misapprehension?



  Pro。 How?



  Soc。 Dear Protarchus; I never asked which was the greatest or best



or usefullest of arts or sciences; but which had clearness and



accuracy; and the greatest amount of truth; however humble and



little useful an art。 And as for Gorgias; if you do not deny that



his art has the advantage in usefulness to mankind; he will not



quarrel with you for saying that the study of which I am speaking is



superior in this particular of essential truth; as in the comparison



of white colours; a little whiteness; if that little be only pure; was



said to be superior in truth to a great mass which is impure。 And



now let us give our best attention and consider well; not the



comparative use or reputation of the sciences; but the power or



faculty; if there be such; which the soul has of loving the truth; and



of doing all things for the sake of it; let us search into the pu

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