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The phrase "deeply held assumptions" is correct and commonly used in written English.
It can be used when describing beliefs or ideas that a person or group holds onto strongly and may be unwilling to change. For example: "Despite evidence to the contrary, many people cling to their deeply held assumptions about the existence of ghosts." "In order to promote diversity and inclusion, it is important to challenge and examine our deeply held assumptions about different cultures and backgrounds." "The company's failure to innovate can be attributed to their leaders' deeply held assumptions about the industry and reluctance to embrace new ideas."
Exact(14)
Deepening depends on our willingness to challenge our blind spots, deeply held assumptions, and fixed beliefs.
That moment, Mr. Sandel said, is often "a turning point" in getting students to question their own deeply held assumptions.
It challenges our deeply held assumptions about the purpose of the organization and our places within it.
In this mode we — like Mr. Chang — question every aspect of our approach, including our methodology, biases and deeply held assumptions.
Whether I state this explicitly in an article or not it's good for me know where I am coming from and where any interviewees might be coming from too, such as what is informing their more deeply held assumptions.
This is where resistance tends to arise — cognitively in the form of fixed beliefs, deeply held assumptions and blind spots; and emotionally, in the form of the fear and insecurity that change engenders.
Similar(46)
The roots of this issue lie in the deeply held assumption of the beneficial quality of French civilisation for humankind.
Behind differences of emphasis and method the central feature of political discourse about English education is the deeply held assumption that educational standards are falling and that we are lagging further behind the rest of the world.
Deflationary nominalists challenge this deeply held assumption in ontological debates.
According to a deeply held assumption across the sector, the imperative of assisting according to need sits at the ideational core of humanitarianism, and thus also provides the sector with its central problem definition.
But Obama's ascent to the White House will also challenge deeply held European assumptions about America and American blacks.
More suggestions(15)
deep assumptions
dearly held assumptions
strongly held assumptions
firmly held assumptions
deeply held perceptions
deeply held values
deeply held feelings
deeply held priorities
deeply held customs
deeply held suspicions
deeply held grudges
deeply held sentiments
deeply held beliefs
deeply held belliefs
deeply held attitudes
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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