By Gary Jason Hartenburg
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Additional info for 'A Somewhat Lengthy and Difficult Argument'' The Metaphysics and Epistemology of Plato's ''Republic'' 476e-480a
96. Kahn distinguishes between the proper existential meaning and other existential meanings. The proper existential meaning, as opposed to, say, the “vital-locative” meaning of ‘einai,’ is determined by the logical function of the verb. The vital-locative meaning of ‘einai’ is simply “to be alive” or “to dwell” (Kahn, “A Return to the Theory of the Verb ‘Be’ and the Concept of Being,” 393). As such it is not determined by its logical function in the sentence; it has instead what Kahn calls “concrete meaning” (393).
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.
D. ”84 That is, at the very least the premises and conclusion(s) of the Argument should not contradict the conclusion of the Argument from Opposites. So let us state the premises and conclusions with which the Argument is supposed to be compatible. Consider, in the first place, the Argument from Opposites, which is essentially this: 84. Cooper, “Between Knowledge and Ignorance,” 233. 85 (2) If beautiful and ugly are two, then each is one. (3) Beautiful is opposite ugly. (4) Therefore, beautiful and ugly are two.
'A Somewhat Lengthy and Difficult Argument'' The Metaphysics and Epistemology of Plato's ''Republic'' 476e-480a by Gary Jason Hartenburg