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To quote the Prologue again, "while our actual knowledge is incommensurable with the greatest knowledge, something humanly unattainable, the unsure falling away of our weak apprehension from the purity of truth makes our assertions of what is true conjecture".
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Nicholas only considers "true" conjectures and believes that our conceptual and judgmental knowledge is conjectural or provisional because human reason never grasps the essence of anything precisely as it is.
Is Goldbach's conjecture true? (Euler failed to prove it; so has everyone since).
In 2006 Grigori Perelman was awarded a Fields Medal for proving Poincaré's conjecture true in three dimensions, the only dimension in which Poincaré had studied it.
If you reach an indubitably true conclusion, your conjecture may have been true.
It was a tacky move, sure, but changing the facial features of one character (whose true appearance is conjecture anyway) is still a light year away from letting your sponsor dictate your entire storyline.
In 1961 the American mathematician Stephen Smale showed that the conjecture is true for n ≥ 5, in 1983 the American mathematician Michael Freedman showed that it is true for n = 4, and in 2002 the Russian mathematician Grigori Perelman finally closed the solution by proving it true for n = 3.
We observe that the conjecture is true for a set S and all (ainDelta_{n}) with (I(a)=I), if it is true for a set (T={n-k : kin S}) and all (binDelta_{n}) with (I(b)={n-i : iin I}).
MacNeish's conjecture, if true, would imply the truth of Euler's but not conversely.
Using ultraproducts, it has been shown that the conjecture is true for arbitrary d with the possible exception of a finite set of primes p (depending on d).
At some point, it struck him that he needed to find out what was true and what was conjecture – and he has been reading about science avidly ever since.
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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