erroneously
Adverb
Meaning
in a mistaken or erroneous manner
Source: WordNetSynonyms
Antonyms
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Quotation, n: The act of repeating erroneously the words of another.
The law of causality, I believe, like much that passes muster among philosophers, is a relic of a bygone age, surviving, like the monarchy, only because it is erroneously supposed to do no harm.
The most powerful urge known to Man is the urge to be free of manual labour. Any means that accomplishes that end is fine. Some people erroneously imagine that they have a birthright to non-manual work.
The labours of men of genius, however erroneously directed, scarcely ever fail in ultimately turning to the solid advantage of mankind.
Knowing what I do about Judaism, I was naturally distressed to see that you have erroneously featured me as a Jew .. I am not today, nor have I ever been a Jew, and as a matter of fact, I am uncircumcised.
[Footnote:] Most people erroneously call this snake the Puff Adder, Beach Adder, or Blowing Viper. So, naturally, they kill it.