paralogism

noun

Etymology: Borrowed from Middle French paralogisme, from Late Latin paralogismus, from Ancient Greek παραλογισμός (paralogismós).

1. A fallacious argument or illogical conclusion, especially one committed by mistake, or believed by the speaker to be logical.

   “Which is a Paralogism not admittible; a fallacy that dwels not in a cloud, and needs not the Sun to scatter it.”