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Additional resources for 'A Somewhat Lengthy and Difficult Argument'' The Metaphysics and Epistemology of Plato's ''Republic'' 476e-480a
This point is the first part of an adequate understanding of the Argument. The second part is the obvious fact that Plato and his opponents do not agree about the nature of reality. According to Plato, what is real are the forms. According to the lovers of sights and sounds, what is real are sense-perceptible objects. It is pretty clear in the Republic that Plato thinks that forms are not sense-perceptible objects whereas the lovers of sights and sounds do not acknowledge the reality of the forms.
65. gnôsin 66. gnôsis 67. ” “Very much so,” he said. ” (5) The Argument: Part Two (478e–480a) 478E (e) “It would remain for us to discover, as is likely, that which participates in both—in ‘to be’ and ‘not to be’—and could be correctly addressed as neither of the two purely, so that, if it would appear we would justly address it as the believable, assigning73 that which is extreme to the extremes and that which is in-between to the in-betweens. Or 68. gnôseôs 69. keitai 70. keisthai 71. epistêmên 72.
25, 26] Nothing is nothing. Belief is not over nothing. [27, 28] Ignorance is over nothing.  Ignorance is a faculty. [implicit] Belief and ignorance are different faculties. [13, 14, 15, 17, 29, 30, 31] Belief is neither ignorance nor knowledge. [23, 32] Belief is not outside ignorance or knowledge. Belief appears darker than knowledge but brighter than ignorance. If (i) belief is neither ignorance nor knowledge and (ii) belief is not outside ignorance or knowledge and (iii) belief appears darker than knowledge but brighter than ignorance, then belief lies between knowledge and ignorance.