Buch · The Republic
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Autor: Plato
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Regarding the world as a point in immensity, and each individual
as a link in a never-ending chain of existence, he will not think
much of his own life, or be greatly afraid of death.
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.
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