Adeimantus objects first of all to the form of the Socratic reasoning,
thus showing that Plato is aware of the imperfection of his own method.
He brings the accusation against himself which might be brought against
him by a modern logician—that he extracts the answer because he knows
how to put the question. In a long argument words are apt to change
their meaning slightly, or premises may be assumed or conclusions
inferred with rather too much certainty or universality; the variation
at each step may be unobserved, and yet at last the divergence becomes
considerable. Hence the failure of attempts to apply arithmetical or
algebraic formulae to logic. The imperfection, or rather the higher and
more elastic nature of language, does not allow words to have the
precision of numbers or of symbols. And this quality in language
impairs the force of an argument which has many steps.
The objection, though fairly met by Socrates in this particular
instance, may be regarded as implying a reflection upon the Socratic
mode of reasoning. And here, as elsewhere, Plato seems to intimate that
the time had come when the negative and interrogative method of
Socrates must be superseded by a positive and constructive one, of
which examples are given in some of the later dialogues. Adeimantus
further argues that the ideal is wholly at variance with facts; for
experience proves philosophers to be either useless or rogues. Contrary
to all expectation Socrates has no hesitation in admitting the truth of
this, and explains the anomaly in an allegory, first characteristically
depreciating his own inventive powers. In this allegory the people are
distinguished from the professional politicians, and, as elsewhere, are
spoken of in a tone of pity rather than of censure under the image of
‘the noble captain who is not very quick in his perceptions.’