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For starters, the excuse must be flaw-proof.
A minor flaw in the proof of the abstract mean ergodic theorem (Theorem 5.7) is fixed as well.
However, there is a minor flaw in his proof of Theorem 1 [3] where the surjectivity of the map j is implicitly used without any prior assumption.
This is a flaw in the proof of the first congruence theorem (I.4) which says that if two triangles have two pairs of sides equal and the included angle is equal then the remaining sides of the triangles are equal.
But today two members of a NISA advisory committee called the stress tests flawed and "not proof of safety".
But the would-be operator cannot breathe easy since the counteraxmple does not locate the flaw in Krasnikov's proof, leaving open the possibility that the "theorem" can be turned into a genuine theorem by making minor modifications.
Those wanting proof that flawed can also be fascinating should look no further.
Although their proof was flawed, they corrected it with Hungarian mathematician János Pintz in 2005.
If the proof was flawed, he would be publicly humiliated, and there would be no way to prevent another mathematician from fixing any errors and claiming victory.
(Ironically, Irish-born physicist John Stewart Bell demonstrated in the mid-1960s that von Neumann's proof was flawed; Bell then fixed the proof's shortcomings, reaffirming von Neumann's conclusion that hidden variables were unnecessary. See also quantum mechanics: Hidden variables).
The Romans lived as if history were a book that concerned them - they displayed their flaws and crimes as proof that they belonged on its pages.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com