Zeno's amazing skill in argumentation and his paradoxical conclusions,
particular and general, inaugurate a new era. "The philosophical
mind," says waiter Pater,[4] "will perhaps never be quite in health,
quite sane or natural again." The give and take of thought had by a
swift transformation of values come by something more than its own.
Zeno's paradoxes, notably, for example, the puzzle of Achilles and the
Tortoise, are still capable of amusing the modern world. In his own
age they found him imitators. And there follows the sophistic
movement.
The Sophists.
The sophists have other claims to consideration than their service to
the development of logic. In the history of the origins of logic the
sophistic age is simply the age of the free play of thought in which
men were aware that in a sense anything can be debated and not yet
aware of the sense in which all things cannot be so. It is the age of
discussion used as a universal solvent, before it has been brought to
book by a deliberate unfolding of the principles of the structure of
thought determining and limiting the movement of thought itself. The
sophists furthered the transition from dialectic to logic in two ways.
In the first place they made it possible. Incessant questioning leads
to answers. Hair-splitting, even when mischievous in intent, leads to
distinctions of value. Paradoxical insistence on the accidents of
speech-forms and thought-forms leads in the end to perception of the
essentials. Secondly they made it necessary. The spirit of debate run
riot evokes a counter-spirit to order and control it. The result is a
self-limiting dialectic. This higher dialectic is a logic. It is no
accident that the first of the philosophical sophists, Gorgias, on the
one hand, is Eleatic in his affinities, and on the other raises in the
characteristic formula of his intellectual nihilism[5] issues which
are as much logical and epistemological as ontological. The meaning of
the copula and the relation of thoughts to the objects of which they
are the thoughts are as much involved as the nature of being. It is
equally no accident that the name of Protagoras is to be connected, in
Plato's view at least, with the rival school of Heracliteans. The
problems raised by the relativism of Protagoras are no less
fundamentally problems of the nature of knowledge and of the structure
of thought. The _Theaetetus_ indeed, in which Plato essays to deal
with them, is in the broad sense of the word logical, the first
distinctively logical treatise that has come down to us. Other
sophists, of course, with more practical interests, or of humbler
attainments, were content to move on a lower plane of philosophical
speculation. As presented to us, for example, in Plato's surely not
altogether hostile caricature in the _Euthydemus_, they mark the
intellectual preparation for, and the moral need for, the advance of
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