Synonyms of the word 
PARADOXICAL → INCOMPREHENSIBLE - INEXPLICABLE - SELF-CONTRADICTORY
paradoxical
- adj. Having self-contradictory properties.
incomprehensible
- adj. Impossible or very difficult to understand.
inexplicable
- adj. Impossible to explain; not easily accounted for.
self-contradictory
- adj. Of statements that contradict themselves, ultimately logically corrupting the statement.
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