Published online by Cambridge University Press: 11 February 2009
Plato in his discussion of the Divided Line (Republic 6) 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’ (510 b 4–9). The second distinguishing characteristic of is that it employs the ordinary objects of sense-perception as images (510 d 5–511 a 1). The geometer, in order to find out about ‘the Square’ and ‘theDiagonal’, draws diagrams and makes models.
page 68 note 1 Ferguson, John in ‘Sun, Line and Cave Again’, C.Q. N.S. xiii (1963), 188–93)CrossRefGoogle Scholar, reviving Henry Jackson's interpretation, emphasizes both the close correspondence between the Line and the Cave and the indirect nature of . However, his interpretation differs from that above in that (a) seems to be identified with my ‘shadow-belief’, (b) the objects of are said to be ‘general notions’, and (c) the logical consequences of Plato's proportions are not worked out.