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It is not the case that Aristotle's doctrine of the mean requires that virtuous action hit the precise target of the right response, not merely an acceptable range.
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Reasons For
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1.
Aristotle explicitly defines virtue as lying in a mean 'relative to us,' suggesting contextual variation rather than fixed precision.
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2.
Human judgment and circumstance vary too much for virtue to require a single precise target in most moral situations.
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3.
Aristotle acknowledges that virtuous people sometimes reasonably disagree on appropriate responses, implying acceptable ranges exist.
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Reasons Against
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Reason against
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1.
Aristotle compares virtue to archery, where hitting the mark requires precision, not merely staying within broad boundaries.
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2.
Virtue constitutes excellence (arete), and excellence by definition demands hitting the optimal target, not mediocre adequacy.
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3.
Phronesis (practical wisdom) involves discerning the precise appropriate response for each unique situation's particulars.
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