Paralogism
Paralogism , noun
[Greek paralogismo`s, from paralogi`zesqai to reason falsely; para` beside + logi`zesqai to reason, lo`gos discourse, reason: compare French paralogisme.]
(Logic) A reasoning which is false in point of form, that is, which is contrary to logical rules or formula; a formal fallacy, or pseudo-syllogism, in which the conclusion does not follow from the premises.