illogical
US /ɪˈlɑː.dʒɪ.kəl/
UK /ɪˈlɑː.dʒɪ.kəl/
1.
phi logic
not reasonable, wise, or practical, usually because directed by the emotions rather than by careful thought:
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It is an illogical statement, because if one part is true, then the other must be false.