The phrase "impossibility of establishing" is correct and usable in written English.
You can use it when you are referring to something that can not be achieved or set up. For example, "The impossibility of establishing a direct link between the two events makes it difficult to draw any conclusions."
The impossibility of establishing the existence of such a substance and measuring the amount of it in any article drives both the labour theory of value and job evaluation into the circular argument of inferring the job content from the rate of pay and then explaining the rate of pay by the job content.
The letter also lamented the impossibility of establishing "a fruitful scientific dialogue" with Donzelli.
The most practical limitation is introduced by the impossibility of establishing a precise mapping from the rate and intensity of nighttime light leakage to the World Bank's standard metrics (e.g., USD) for GDP.
There were times when students argued vehemently about impossibility of establishing ethical way of life in India.
Finally, eight healthcare decision-makers (from four institutions) were included in the study sample, the other two were excluded: one because of the impossibility of establishing contact and the other because the poor recording quality of the interview.
In international toxicology journals, not under the editorship of Dietrich et al. [ 5], widely accepted biometrical and mathematical principles about the impossibility of establishing thresholds at the level of populations, independent of the status of the chemicals in terms of genotoxicity or non-genotoxicity have been elaborated [ 9, 10].
However, how are such judgments of impossibility established?
Vasubandhu certainly shared this view, and he drew upon the premises of impermanence and the impossibility of change to establish momentariness in his own works.
Given that things must bring about their own destruction, then, Vasubandhu needs only to recall the impossibility of change to establish momentariness.
Camus asserts that the history of human thought is characterized by "its successive regrets and its impotences" (MS, 18), and that "the impossibility of knowledge is established" (MS, 25).
But even if mathematical theorems in the various theories concerned succeed in establishing the impossibility of time machines, understanding why time machines cannot be constructed will shed light on central problems in the foundations of physics.
