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Definition of erroneous : 1. Containing error; not conformed to truth or justice; incorrect; false; mistaken; as, an erroneous doctrine; erroneous opinion, observation, deduction, view, etc.
2. Misleading; misled; mistaking.
3. Wandering; straying; deviating from the right course; - hence, irregular; unnatural.

Synonyms:

ill-considered, unsound, absurd, foolish, in error, monstrous, preposterous, inconclusive, wild, irrational, all wet, ill-advised, nonsensical, ill-judged, anomalous, ridiculous, paradoxical, stupid, unreasonable, correct, senseless, infatuated, off, chimerical, ludicrous, off base

illogical, misconceived, botched, misjudged, miscalculated, distorted, defective, misestimated, marred, misconstrued

bad, untrue, faulty, inaccurate, flawed, illegal, wrong, incorrect, improper, mistaken, aberrant, fallacious, false

Usage examples:

• 16, 449. Then you consider it an erroneous statement, that it is advantageous for a merchant in Shetland to obtain a great number of debtors? - "Second Shetland Truck System Report", William Guthrie.
• Mr. Gell, is erroneous. - "The History of Tasmania, Volume I (of 2)", John West.
• I have wondered more than once during the past week whether we haven'tan entirely erroneous conception of every prominent man whom we don't know intimately. - "The Paternoster Ruby", Charles Edmonds Walk.