The Eleatics followed the same general course of abstraction; but with
them the sense of the unity of the world effaced its rich diversity.
Xenophanes does not appear to have pressed the conception so far as to
deny all change within the world. Parmenides, however, bated no jot of
the legitimate consequences of his logical position, interpreting, as he
did, the predicate, originally conceived as meaning, in terms of
existence. That which is simply _is_. Thus there is left only a one-time
predicate, now converted into a subject of which only itself, as a brute
fact, can be predicated. Stated logically, Parmenides is capable only of
uttering identical propositions: A=A. The fallacious character of the
report of the senses and the impossibility of Becoming followed as a
matter of course. Where the logical copula is a mere sign of equation
there can be neither induction nor deduction. We are caught in a
theoretical _cul-de-sac_.
We are not now concerned to know in what light the demand for a treatise
on the world of Opinion may have appeared to Parmenides himself. The
avenues by which men reach conclusions which are capable of
simplification and syllogistic statement are too various to admit of
plausible conjecture in the absence of specific evidence. But it is
clear that his resort to the expedient reflected a consciousness of the
state of deadlock. In that part of his philosophical poem he dealt with
many questions of detail in a rather more practical spirit. Following
the lead of Heraclitus and the Pythagoreans he was more successful here
than in the field of metaphysics. Thus we see once more that the wounds
of theory are healed by practice. But, as usual, even though the
metaphysician does receive the answer to his doubts by falling into a
severely practical pit and extricating himself by steps which he
fashions with his hands, his mental habit is not thereby reconstructed.
The fixed predicate of the Eleatics was bequeathed to the
Platonic-Aristotelian formal logic, and induction and deduction remained
for centuries in theory a race between the hedgehog and the hare.[94]
The true significance of the destructive criticism brought to bear by
Zeno and Melissus on the concepts of unity, plurality, continuity,
extension, time, and motion is simply this: that when by a shift of the
attention a predicate becomes subject or meaning fossilizes as
existence, the terms of the logical process lose their functional
reference and grow to be unmeaning and self-contradictory.
Public-domain text, read in full here on John Shaqi.
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