Suppose you have an equation like $1+1=2$. Now, if in the next line I say something like "therefore $1+1+1=-3$, then is there a conventional word that is used to describe the way you change an equation such that it then becomes false, whereas it was previously true?
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The word "fallacy" means roughly that: Dictionary.com gives one definition as "A failure in reasoning that renders an argument invalid." – JavaMan Jul 31 '18 at 02:49
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Also this may be a better question for the English Language & Usage site – JavaMan Jul 31 '18 at 02:51
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1Sure, it's called a mistake, or an error. "The error in the above proof is..." – Jul 31 '18 at 08:24