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The Principle of Non-contradiction in Plato's Republic - An Argument for Form (Hardcover)
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The Principle of Non-contradiction in Plato's Republic - An Argument for Form (Hardcover)
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Plato's formulation of the Principle of Non-contradiction (PNC) in
Republic IV is the first full statement of the principle in western
philosophy. His use of the principle might seem to suggest that he
endorses the PNC. After all, how could one possibly deny so
fundamental a principle-especially when it seems difficult to deny
it without relying on it. However, the endorsement in the text is
qualified. Socrates refers to the principle as one that he and his
interlocutors will hypothesize and warns that if it should ever be
shown to be false, all that follows from it will also be refuted.
Scholars who have noticed this issue have tended to assume that the
truth of the hypothesis in question can be guaranteed. Laurence
Bloom argues against unthinkingly accepting this claim. He suggests
that what emerges from the text is more sophisticated: Plato's
concession that the PNC is hypothetical is a textual clue pointing
us to a complex philosophical argument that grounds the PNC, as
well as the sort of reasoning it grounds, in form. Indeed, in
framing the problem in this way, we can read the Republic as
providing an extended argument for form. The argument for forms
that emerges is complex and difficult. It is not and cannot be a
normal, discursive argument. Indeed, the argument cannot even be
one that assumes the PNC; if it did so, it would fall prey to a
vicious circularity. Rather, the argument rests on the very
possibility of our hypothesizing the PNC in the first place. Our
ability to hypothesize the PNC-and perhaps our inability not to
hypothesize it-is the linchpin. When we ask questions such as "to
what objects does the PNC apply?" or "how is it possible that we
apply the PNC?," we are asking questions that lead us to the
existence of form. The Principle of Non-contradiction in Plato's
Republic also explores the soul of the knower-the very entity to
which and by which the principle is applied in the text-and its
underlying unity.
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