The extent to which something is unpalatable(noun)
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Use "unpalatability" in a sentence
"European politicians have been weighing the unpalatability of rescuing their banks relative to that of rescuing peripheral European economies."
"Never mind the unpalatability, Mr. Meyer lost me at "poisonous.""
"The unpalatability of this argument, for me, is that it insists on an imagination of aggress, in which one sensual register must overcome the other for transcendence to become possible."