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δῆλον γὰρ αὖ: confirms the distinctness of the two ideas which Socrates had already affirmed much more positively than Gorgias.
πεπεισμένοι: so far as the inward conviction is concerned, μάθησις and πίστις agree; objectively, how ever, they are very different, for μάθησις involves the acquisition of knowl-edge, while ignorance is the necessary concomitant of πίστις.
βούλει οὖν κτἑ.: Socrates now proceeds to analyze (διαίρεσις, divisio) the general definition in order to obtain that special definition (ὁρισμός, definitio) which, according to the requirements of logic, must include, together with the statement of genus (τὸ γένος, genus proximum) also the addition of the characteristic (διαφορὰ εἰδοποιός, differentia specifica) which separates it from other species of the same genus.
Gonzalez Lodge. Commentary on Plato Gorgias. Ginn & Company. Boston and London. 1891.
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