I Want in this paper briefly to contribute two points to the elucidation of this famous passage, and apologize for the fact that my possessing the same name as one of its most illustrious interpreters may add confusion to the doxographic tradition. The first point is not an original one. It is simply to revive an interpretation given by Henry Jackson in an article which strikes me as the most profound and pellucid which I have read on the subject, and (...) which is in some danger of being forgotten. Raven, about ten years ago, insisted as a criterion of interpretation that the entire passage should be viewed ‘as a single and indivisible whole’. This is precisely what Jackson does, though he concentrates his attention, as indeed does Raven, on the line and the cave. (shrink)

The first part of this paper argued that the traditional application of the Cave to the Line was not intended by Plato, and led to a misunderstanding of both similes. The Cave, it was said, is attached to the simile of the Sun and the Line by the visible region outside the cave, which is a reintegration of the symbolism of sun, originals and images in the sunlight, and the new system of objects inside the cave is compared and contrasted (...) with the natural objects in the visible outside. As we know that the natural symbolism illustrates the Platonic education, our main task in this paper will be to find the meaning of the cave, untrammelled by the associations of the lower line. (shrink)

At the end of the Sixth Book of the Republic Plato explains the Idea of Good by means of the Figure of the Sun. As the sun is the cause both of the becoming of that which is subject to becoming and of our apprehension of it and of its changes through the eye, so the idea of good is the cause of the being of that which is and also of our knowledge of it. As the sun is beyond (...) γxs22EFνεσις, so the Idea of Good is beyond Being. Glaucon says he does not understand. The simile is further elucidated by means of a line, divided into two parts, of which one stands for the νιητxs22EFν γxs22EFνος τε καxs22EF τxs22EFπος, where the Idea of Good bears rule, the other for the xs22EFρατxs22EFν γxs22EFνος τε καxs22EF τxs22EFπος, over which the sun is lord. The line is to be divided unequally , and subdivided in the same proportions. Thus we get a line consisting of four parts in the ratio 4 : 6 : : 6 : 9. Let us call the four parts A B C D respectively, A being the smallest, D the greatest, B and C necessarily equal. A stands for εxs1F31κxs22EFνες, shadows, images in water and on polished surfaces, and the like: B stands for animals, plants, and the creations of human industry: C for the objects of that enquiry in which the objects denoted by B are treated as images, i.e. mathematical enquiries: D for the objects apprehended by dialectic, the Ideas themselves. The first equation asserted is—The objects of opinion : objects of knowledge : : representation : original . There follows an explanation of the inferiority of mathematical to philosophical reasoning, and an explanation of the statement that the objects denoted by B are used as images or symbols by the enquiry concerned with C; as a result of which Glaucon perceives that the general distinction between C and D is that between the τxs22EFχναι , i.e. those sciences in which the Guardians were to be educated, and Philosophy or Dialectic. Finally a special πxs22EFθημα or affection of the soul is allotted to each of the four divisions of the line, to A εxs1F31κασxs22EFα, to B πxs22EFστις, to C διxs22EFνοια, to D νxs22EFησις, each πxs22EFθημα being clear in the same degree in which the objects it is concerned with are true. (shrink)

I Want in this paper briefly to contribute two points to the elucidation of this famous passage, and apologize for the fact that my possessing the same name as one of its most illustrious interpreters may add confusion to the doxographic tradition. The first point is not an original one. It is simply to revive an interpretation given by Henry Jackson in an article which strikes me as the most profound and pellucid which I have read on the subject, and (...) which is in some danger of being forgotten. Raven, about ten years ago, insisted as a criterion of interpretation that the entire passage should be viewed ‘as a single and indivisible whole’. This is precisely what Jackson does, though he concentrates his attention, as indeed does Raven, on the line and the cave. (shrink)

In Part I of his paper Cooper gives indisputable evidence regarding Plato's use of the man-made image as a step to the apprehension of a Form under discussion, whether that image be in fact a diagram or a model, or simply a verbal picture, such as his imaginative account of Justice within a community, which we find used to provide us with in Republic 443 c 4 ff. However, Cooper goes on to assure us that the divided-line figure offers us (...) only three types of object: ‘We have three kinds of objects which differ from one another in clearness and esteem, firstly, the Forms, secondly, the objects of ordinary sense-perception, and thirdly, images, shadows and reflections.’ Now the admitted fact that, as he notes, Republic 10 gives the same three orders of reality, does not entirely absolve Cooper from all the implications of Plato's decision to divide his line into four parts rather than three; for it is made quite clear in 509 b 6–10 that the Form of the Good, is the source of being as well as of knowledge, so the Line must also classify both. (shrink)

The similes of the Sun, Line, and Cave in the Republic remain a reproach to Platonic scholarship because there is no agreement about them, though they are meant to illustrate. I propose to analyse the form of the argument, a clue that has never been properly weighed. The Greek theory and practice of analogia and diairesis give good evidence about the method that Plato adopted; if this usage were respected, the analogical argument would not be so loosely interpreted, and the (...) double diairesis and proportion that the Line actually is could not be mistaken for a classification. I hope also to show that Plato's terminology is definite and consistent; here too ancient usage helps to establish his meaning. (shrink)

It may seem strange, in view of the spate of recent literature on the subject, that yet another article should be forthcoming on what is certainly the most familiar, as well as the most vexed, of all Platonic passages. But it is precisely this spate of literature that has impelled me to write. The time seems to have come for an article which, rather than seeking desperately for something new, sets out instead to reaffirm those facts and conclusions that even (...) the most resolutely original of scholars could hardly venture to dispute. This article will therefore be based, not on any of the numerous modern interpretations, but on what Plato himself actually wrote. It will contain a number of tentative suggestions which, to the best of my knowledge, have not been made before. They can, and probably will, be rejected. But its primary purpose remains to restate, whenever possible in Plato's own words, a number of important facts that are at once so simple and so obvious that they seem repeatedly, and especially in recent years, to have been quite forgotten. (shrink)

Plato in his discussion of the Divided Line introduces a distinction between knowledge of the Forms in and by themselves () and . The first distinguishing characteristic of is that it ‘is compelled to employ assumptions, while knowledge of the Forms tries to advance to a certain first principle’ . The second distinguishing characteristic of is that it employs the ordinary objects of sense-perception as images . The geometer, in order to find out about ‘the Square’ and ‘the Diagonal’, draws (...) diagrams and makes models. (shrink)