In this paper, I argue that the two versions of divided line create problems that cannot be solved — with or without the hypothesis that the objects belonging to the level of διάνοια on the divided line are intermediates. I also argue that the discussion of arithmetic and calculation does not fit Aristotle’s attribution of intermediates to Plato and provides no support for the claim that Plato had such intermediates in mind when he talked about διάνοια in the Republic. The (...) upshot of my argument is negative: even if Aristotle’s report about Plato and intermediates is correct, there is no evidence for such objects provided in the passages I review from the Republic. If they are to be found in Plato, it will have to be elsewhere that they are found. (shrink)

It is widely accepted that ruling is the sole prerogative of Plato’s philosopher-rulers because they alone possess knowledge (ἐπιστήμη). This knowledge is knowledge of the Good, taken to be the only knowledge there is in Kallipolis. Let us call this the sufficiency condition thesis (the SCT). In this paper, I challenge this consensus. I cast doubt on the adequacy of the SCT, arguing that part of the training and education of the philosopher-rulers involves their gaining practical wisdom (φρόνησις) and experience (...) (ἐμπειρία). To succeed in this, I have two main aims. First, I argue that the philosopher-rulers must attain optimum cognitive success in these three modes of cognition to function efficiently in ruling. This involves showing that Plato, for his political project, appeals to other senses of cognitive successes besides his strictly metaphysical epistemology. Second, I attempt to demonstrate how these three modes of cognition coalesce or coincide in ruling the perceptible world, especially in the judgement and determination of concrete perceptible matters. (shrink)