‘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.’ So wrote A.S. Ferguson in 1934, and so he could write to-day. Four decades have produced at least twenty more substantial contributions to the debate, but no agreement. I shall not attempt to arbitrate between existing interpretations, nor shall I offer an account of the ‘simile of light’ as a whole. (...) I shall confine my attention to a single point: the significance of the shadows in the cave, and of the objects which cast them. The suggestion I shall make seems an obvious one, but I have not found it in the literature. I hope to show at least that it deserves serious consideration. (shrink)

This allegory is among the most well-traversed passages in Plato's dialogues and deservedly so. Its emotional impact is undeniable, yet it confronts the reader with several problems of interpretation. There is a strong sense that it is of central importance to the crucial questions of the Platonic philosopher's education and his role in society, and it possibly holds one key to an understanding of the Republic as a whole.

This paper takes a detailed look at the Republic’s Divided Line analogy and considers how we should respond to its most contentious implication: that pistis and dianoia have the same degree of ‘clarity’ (σαφήνεια). It argues that we must take this implication at face value and that doing so allows us to better understand both the analogy and the nature of dianoia.

Socrates, in the Republic , uses the symbol of a divided line to illustrate the distinction between the Visible and Intelligible Worlds, and between the kinds of perception appropriate to each. This paper will present a new hypothesis: that the proportions of the line are derived from optical theory. The construction of the Divided Line is described as follows: Socrates asks his interlocutors to represent the Visible and Intelligible Worlds by a line divided into two unequal segments. The ratio in (...) which the division is to be made is not specified, and it seems that any ratio is acceptable provided that one segment is longer than the other. Socrates then tells them to cut each part again according to the same ratio as the original division. After describing the division of the line thus into four parts, Socrates goes on to explain the philosophical significance of each part. For the purposes of this paper the following brief identification of each segment of the line will suffice. (shrink)