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"Everybody understood that if the proof is correct then no other recognition is needed".
By Sylvia Nasar and David Gruber Grigory Perelman (right) says, "If the proof is correct, then no other recognition is needed".
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The statement and the proof are correct (although quite a few changes are necessary, see "Corrections and suggestions" below).
If you're not sure if your proof is correct, just write a few sentences saying what your conclusion was and why it is significant.
First-order Zermelo-Fraenkel set theory is widely regarded as the standard of mathematical correctness, in the sense that a proof is correct if and only if it can be formalised as a formal proof in set theory.
Together with this reflective thinking, the visual thinking sketched earlier constitutes following a proof of the formula for the \(n\ th triangular number for all integers \(n > 1\), at least if the relaxed view of thinking through a proof is correct.
If Field's proof were correct, he would have proved that mathematics itself is conservative as long as one assumes the usual reductions of mathematics to set theory.
If, the proof is complete.
If, the proof is finished, so assume.
If the chain is correct, the proof is true.
If, then the proof is analogous.
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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