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The phrase "an assumption that" is correct and usable in written English.
It can be used when discussing a belief or idea that is taken for granted without proof.
Example: "The study is based on an assumption that all participants will respond honestly."
Alternatives: "a belief that" or "a presumption that".
Exact(58)
However, I would like to correct an assumption that was made.
(Granted, it's an assumption that has been fading fast).
Yet this is an assumption that can be philosophically challenged.
She says it's "an assumption that is demonstrably not true".
"There's an assumption that we all roughly know the rules.
There is an assumption that private markets are more efficient.
"There's an assumption that racism is something that happens elsewhere.
"There's also been an assumption that everybody will drive.
Black's disdain reflected an assumption that his power was secure.
"It's an assumption that unfortunately is contradicted by reality".
"There's an assumption that 45 billion euros will be inadequate".
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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