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The phrase "assumptions on which" is correct and usable in written English.
It can be used when discussing the foundational beliefs or premises that support a particular argument, theory, or conclusion.
Example: "The conclusions drawn from the study are based on the assumptions on which the research was conducted."
Alternatives: "premises upon which" or "foundations that support".
Exact(60)
"The kind of assumptions on which they based their future have changed.
And the assumptions on which they are based need to be rethought.
The assumptions on which this analysis is based are heroic, to put it mildly.
Are the assumptions on which it is based appropriate or obsolete?
Responses require testing and rethinking the assumptions on which the current career system is based.
Changes in U.S. demographics demand rethinking the assumptions on which the current career system is based.
The assumptions on which that lending was made have been exploded.
More fundamentally, DTC genomics services threaten to upend the basic set of assumptions on which FDA regulation is based.
Many of the assumptions on which safety rules are based seem outdated, or were perhaps wrong to begin with.
You won't know what the information is used for, or any underlying assumptions on which it is based.
What is the matter with the long-unquestioned assumptions on which they have based their managerial policies and practices?
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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