Usage Note
Paradoxe is used in philosophy, science, and everyday argument. The related adjective paradoxal/paradoxale and adverb paradoxalement are both common in formal writing. The phrase le paradoxe de followed by a name (e.g. le paradoxe d'Épiménide) is a typical academic formulation.
Examples
"C'est un vrai paradoxe que d'aimer et de hair à la fois."
Natural Translation
It is a true paradox to both love and hate at the same time.

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