By Sylvia Nasar and David Gruber Grigory Perelman (right) says, "If the proof is correct, then no other recognition is needed".
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.
The statement and the proof are correct (although quite a few changes are necessary, see "Corrections and suggestions" below).
"Everybody understood that if the proof is correct then no other recognition is needed".
In this paper, we shall give a complementary proof to correct the errors.
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.
Because the function u p − 1 is increasing for u ≥ 0 and p ≥ 2, the last inequality in the above proof is correct.
Sudan added shades of gray to this black-and-white dichotomy by showing that, in theory, a mathematician could figure out the probability that a new proof is correct.
This measurement offers, for the first time, a direct and concrete proof of correct in situ synthesis of RNA microarrays.
We considered seizure freedom following the operation to be the so-called 'ground truth' unambiguous proof of correct localization of the epileptogenic focus.
