{xc} 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 as at p. 506 B, 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be superseded by a positive and constructive one, of which examples are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 (cp. p. 497
for a similar surprise) 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.'