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The phrase "failure of principle" is correct and can be used in written English.
You can use it to describe a situation where people do not uphold what is generally accepted as the right way to behave, such as when someone abandons their principles in exchange for an advantage. For example, "The company's failure of principle in taking kickbacks from its suppliers was revealed in the investigation."
Exact(3)
It's impossible for me to believe that Aaron had any other motive than to protest this failure of principle.
As Sykes puts it, there was a "failure of principle, a failure of nerve, a failure to coalesce around a credible alternative candidate".
Although the hidden variable attempt is generally thought not to be successful, its failure is not a failure of principle.
Similar(54)
But that is due more to human limitations than to the failure of the principle.
His doubts deepened later that summer at the Democratic Party's national convention in Atlantic City, when white liberals helped President Lyndon Johnson quash a challenge to Mississippi's segregationist delegation for fear of losing Southern white support -- a serious failure of vision, principle and leadership".
This is the upshot of the failure of the principle of linear superposition.
That seems a dismal failure of the principle of respect for autonomy — which, ironically, is what led us to inquire into capacity in the first place.
However, in the linear case we find a failure of that principle, which is, there is a limit in speeding up processes.
Howard himself contemplates the possible failure of this principle for entangled quantum systems, with the consequence that these could no longer be taken to be wholly composed of what are typically regarded as their subsystems.
Local NGOs say that what has happened here is a failure of democratic principles in the world's largest democracy.
Second, although several lines of evidence strongly suggest a contributory role for galectin-3 in the pathophysiology of heart failure, we lack proof-of-principle experiments (eg, in galectin-3 deficient mice or in pharmacologic studies) to show that galectin-3 is unequivocally contributing to the onset and progression of cardiac remodeling.
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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