Exact(27)
So the challenge for "Breaking Bad" is to end in a way that is consistent with its own consistency — viewers are in no mood to be trifled with, especially after the cliffhanger ending of the first season of "The Killing".
It is simply a lesson from Gödel's incompleteness theorems that a sufficiently strong consistent system cannot prove its own consistency.
Thus, sufficiently strong consistent arithmetical theories cannot prove their own consistency.
By Gödel's famous Incompleteness Theorem, if HA is consistent then neither HA nor PA can prove its own consistency.
Like Kretschmann, Dreyer contrasted her own consistency on the refugee question with her opponent's wavering.
The Pope's awareness of his own consistency provoked in many people contradictory reactions.
Similar(33)
It is well known that by Gödel's Second Incompleteness Theorem, no consistent, sufficiently strong theory T of arithmetic can prove its own consistency-statement ConT.
Chinese schoolchildren are still told how the Iron Man, as Wang is known, flung himself into a bubbling pool of oil and wet cement and mixed it to the right consistency with his own body to cap a well.
For conservatives, it is time to cut off Chris Christie – if only for the survival of our own intellectual consistency.
"For the first 25 years, the thinking has been that superstring theory is so difficult to see experimentally that you have to figure it out by its own mathematical consistency and beauty," Dr. Lykken said.
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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