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The phrase "a first assumption" is correct and usable in written English.
It can be used when introducing an initial hypothesis or belief that is subject to further investigation or analysis.
Example: "Before diving into the research, we need to establish a first assumption about the relationship between the variables."
Alternatives: "an initial assumption" or "a preliminary assumption".
Exact(19)
In that case, Benedict said, condoms "can be a first step in the direction of moralization, a first assumption of responsibility … a first step in a movement toward a different way, a more human way, of living sexuality".
The conclusion provides a first assumption that usage information could be integrated in design decision-making in the boat industry, in order to manually check validity of simulation models.
In a book published last month, Benedict said that although condoms were not "a real or moral solution," in some cases, they might be used as "a first step in the direction of a moralization, a first assumption of responsibility".
There may be a basis in the case of some individuals, as perhaps when a male prostitute uses a condom, where this can be a first step in the direction of a moralization, a first assumption of responsibility, on the way toward recovering an awareness that not everything is allowed and that one cannot do whatever one wants.
But he added that "there may be a basis in the case of some individuals, as perhaps when a male prostitute uses a condom, where this can be a first step in the direction of a moralization, a first assumption of responsibility".
But he also said that "there may be a basis in the case of some individuals, as perhaps when a male prostitute uses a condom, where this can be a first step in the direction of a moralization, a first assumption of responsibility".
Similar(40)
So I claim I snuck a third assumption.
A second assumption is potentially even more misleading.
A second assumption is that the financial sector will accept the new arrangements in perpetuity.
But I actually made a third assumption, and I made it without telling you.
The logic of the plan reveals a second assumption that economists make: the more motives the better.
More suggestions(1)
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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