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The phrase "demonstrate the ignorance" is correct and usable in written English.
It can be used when discussing a situation where someone's lack of knowledge or awareness is being shown or revealed.
Example: "His comments during the meeting only served to demonstrate the ignorance of the topic at hand."
Alternatives: "reveal the ignorance" or "show the ignorance".
Exact(1)
He used it to demonstrate the ignorance of his ministers.
Similar(58)
In the US, meanwhile, would-be Republican presidential nominees, debating foreign policy this week, once again demonstrated the staggering ignorance of Pakistani realities that so often mars American debate.
"In part," concludes the magazine, "this work fits into a proud tradition of social science research demonstrating the basic ignorance of the average American".
"This only demonstrates the … provincial ignorance of both the journalist, cartoonist and publication," said Shoma Chaudhury, editor of Catch News and a well-known local journalist.
Other practical implications arise from the findings that demonstrate widespread ignorance, misunderstanding, and misinformation about the alcohol content of beverages and the related risks associated with alcohol consumption.
Not only does it demonstrate astonishing ignorance of the facts of this case, but Basile's entire article is suggestive of the role her own prejudice plays in forming her opinion of guilt or innocence".
However, mentalities such as these merely demonstrate ignorance of the ways that meaning and control are connected to the way that we linguistically talk about and attempt to understand one another.
The ritualized movements are kinetic meditations that express the liberation of the spirit from ignorance by demonstrating the body's liberation from gravity.
Glenn Greenwald (whose commentary is often greatly valuable) wrote about the exchange, declaring that it demonstrated the Congresswoman's "remarkable, unfathomable ignorance".
His dramatic hearing in which he got the heads of the big tobacco companies to all testify that they had no idea that nicotine was addicting, then demonstrated the virtual impossibility of their ignorance, was a major turning point.
Politicians still routinely demonstrate their ignorance around rape, the FBI only changed its outdated definition of sexual assault in 2011, and even the courts regularly muck up rape cases.
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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