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The phrase "are just assumptions" is correct and usable in written English.
You can use it when discussing beliefs or ideas that are not based on concrete evidence or facts.
Example: "While many people believe in the effectiveness of the new policy, these claims are just assumptions without any supporting data."
Alternatives: "are merely conjectures" or "are simply beliefs."
Exact(3)
"It's rather difficult to look at this paper and understand how much energy we consumed, because these are just assumptions," said Mr. Platonov, a sales representative for a software company.
Nevertheless, these are just assumptions and should be analysed more deeply in the future.
You must also be okay with the fact that your own ideas are just assumptions.
Similar(57)
"There's so much information out there on slums, but no one had looked into this [homelessness], so what was floating about was just assumptions, myths.
As someone who never broke the 5-foot mark, I can attest that most assumptions about short people are just that: assumptions.
What they may discover is that the assumptions on which Uber's vaunted $70-billion 70-billionare based are just that — assumptions.
These assumptions are just not true". The assumption has been that binary stars should always have their spin axes aligned, because they are believed to have formed from a single swirling cloud of dust and gas, whose direction of rotation should be inherited by the resulting stars.
"These assumptions are just not based in reality".
Clearly these assumptions are just plain wrong, but I believed them for years.
However, the small deformation or rigid body assumptions are just two extreme cases of uncoupled deformation-motion conditions, and are not necessarily universally valid.
Key later told reporters: "Some of the information is incorrect, some of it is out of date, and some of the assumptions are just plain wrong.
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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