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That is, we assume that it is possible that the agent learn with certainty that \(c^*\) is the unique rational response to her evidence, even if in fact it is not.
But when NELL reads, "I climbed stairs," it has previously learned with great certainty that "stairs" belongs to the category "building part".
Agriculture remained significant in its economy but was not without setbacks; in the decade around 1870 farmers pushed out into semiarid country, hoping that rain would follow the plow, only to learn with cruel certainty that it did not.
Hoffman followed up his research with a fascinating question posed to another 1,394 ultrarunners: "If you were to learn, with absolute certainty, that ultramarathon running is bad for your health, would you stop?" Seventy-four per cent of runners responded: "no".
They also often learn from their leaders that they know the Truth with certainty, that opposing beliefs are dangerous, and that they must hold fast against the onslaught of false ideas.
Who can say with certainty that he is wrong?
These narratives provide me with certainty that I did the right thing.
We know, now, with certainty that nearly nothing is safe.
I can say with certainty that this is the best roller bag ever made.
We can say with certainty that repeal is going well.
"Who can say with certainty that [God] does not exist?," asks Birnberg, when no such certainty is necessary.
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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