A form of words can be paradoxical but not contradictory, e.g., "Most people want to become old, but few want to be old."
The expression is paradoxical, and therein lies its literary charm, but the thought is non-contradictory. The thought, expressed non-paradoxically, is: Most want to live a long time, but few if any want to suffer the decrepitude attendant upon living a long time.
One logic lesson to be drawn is that a paradox is not the same as a contradiction.
It is therefore a mistake to refer to Russell's Antinomy as 'Russell's Paradox.'
Thus spoke the Language Nazi.
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