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The phrase "a core assumption of" is correct and usable in written English.
It can be used when discussing fundamental beliefs or principles that underlie a theory, argument, or framework.
Example: "The study is based on a core assumption of the interconnectedness of social and economic factors."
Alternatives: "a fundamental belief of" or "a key premise of".
Exact(17)
"Western military technological superiority, a core assumption of the past two decades, is eroding," Chipman added.
A core assumption of American foreign policy — that a united Europe had overcomes its divisions — has been undermined.
He knew that the roboticist Rodney Brooks had recently begun to question a core assumption of the whole A.I. project: that minds could be built of machines.
"Western military technological superiority, a core assumption of the past two decades, is eroding", John Chipman, IISS director general, told a London press conference.
A core assumption of most, if not all, interventions is that clients will fully and actively engage in the treatment protocol.
A core assumption of the plan is that American troops cannot impose a military solution, but that the United States can use force to create the conditions in which political reconciliation is possible.
Similar(43)
A core assumption for the 1-eye therapeutic trial of ocular hypotensive medications is the symmetrical reduction of intraocular pressure (IOP) in paired eyes.
"I think they'll operate in the joint interest of AT&T," said Shapiro, calling it a "core" assumption in the field of economics.
From a socio-cultural perspective, the core assumption of all of the scenarios is that peer-to-peer practices will strengthen – the scenarios map out different possibilities for a "peer-to-peer society" to organize (as centralised or decentralised).
The core assumption of a frequency analysis of statements is that the frequency of specific statements indicates the extent to which specific cognitions reflect predominant experiences of study participants (cf. Hull, Levenson, Young, & Sher, 1983 ).
The core assumption of our approach is that a ℓ and b ℓ are the observed outputs of two separate HMMs, one per speaker, denoted HMM a and HMM b, respectively.
More suggestions(17)
a core conclusion of
a core theory of
a core prerequisite of
a core premise of
a core assertion of
a key assumption of
a principal assumption of
a central assumption of
a core expectation of
a fundamental assumption of
a main assumption of
a crucial assumption of
a basic assumption of
a core group of
a background assumption of
a base assumption of
a core component of
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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