157. Aristotle in his _Sophist_[869] called Zeno the inventor of
dialectic, and this, no doubt, is substantially true, though the
beginnings at least of that method of arguing were contemporary with the
foundation of the Eleatic school. Plato[870] gives us a spirited account
of the style and purpose of Zeno’s book, which he puts into his own
mouth:—
In reality, this writing is a sort of reinforcement for the argument
of Parmenides against those who try to turn it into ridicule on the
ground that, if reality is one, the argument becomes involved in many
absurdities and contradictions. This writing argues against those who
uphold a Many, and gives them back as good and better than they gave;
its aim is to show that their assumption of multiplicity will be
involved in still more absurdities than the assumption of unity, if it
is sufficiently worked out.
Footnote 869:
Cf. Diog. ix. 25 (R. P. 130).
Footnote 870:
Plato, _Parm._ 128 c (R. P. 130 d).
The method of Zeno was, in fact, to take one of his adversaries’
fundamental postulates and deduce from it two contradictory
conclusions.[871] This is what Aristotle meant by calling him the
inventor of dialectic, which is just the art of arguing, not from true
premisses, but from premisses admitted by the other side. The theory of
Parmenides had led to conclusions which contradicted the evidence of the
senses, and Zeno’s object was not to bring fresh proofs of the theory
itself, but simply to show that his opponents’ view led to
contradictions of a precisely similar nature.
Footnote 871:
The technical terms used in Plato’s _Parmenides_ seem to be as old as
Zeno himself. The ὑπόθεσις is the provisional assumption of the truth
of a certain statement, and takes the form εἰ πολλά ἐστι or the like.
The word does not mean the assumption of something as a foundation,
but the setting before one’s self of a statement as a problem to be
solved (Ionic ὑποθέσθαι, Attic προθέσθαι). If the conclusions which
necessarily follow from the ὑπόθεσις (τὰ συμβαίνοντα) are impossible,
the ὑπόθεσις is “destroyed” (cf. Plato, _Rep._ 533 c 8, τὰς ὑποθέσεις
ἀναιροῦσα). The author of the Περὶ ἀρχαίης ἰατρικῆς (c 1) knows the
word ὑπόθεσις in a similar sense.
[Sidenote: Zeno and Pythagoreanism.]
Public-domain text, read in full here on John Shaqi.
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