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"begin by assuming that" is correct and usable in written English
You may use it when you want to start a sentence by suggesting that something may be true, even if it has not yet been fully verified. Example: Begin by assuming that the answer to the equation is 10, then work out the steps to verify that answer.
Exact(17)
To make their case, they generally begin by assuming that economic agents are not only greedy but also perfectly rational.
We begin by assuming that progress in plant sciences over the last two decades provides new insight of potential use to agronomists.
In this paper we begin by assuming that an observer with a corresponding quadratic-type Lyapunov function has been designed for a given nonlinear system.
I would rather begin by assuming that power should rest with the people who entrust it to their representatives to discharge the essential roles of government.
They begin by assuming that a reasonable proxy for human mood is the way we express ourselves over social media networks such as Facebook and Twitter.
Any real attempt to address high energy costs will need to begin by assuming that petroleum is unlikely to be cheap again for a long time.
Similar(43)
The virtual unrolling software begins by assuming that the papyrus has formed into part of a cylinder.
The OBR's approach strangely begins by assuming that the UK economy will grow steadily at a satisfactory rate of close to 2.4% a year.
Various traces suggest that Eudoxus's proof of the latter began by assuming that the cone and cylinder are commensurable, before reducing the case of the cone and cylinder being incommensurable to the commensurable case.
The researcher begins by assuming that natural selection works optimally, in the sense that the feature (or set of features) eventually selected represents the best adaptation for performing the function in question.
The model begins by assuming that PrP can exist in two forms: a more compact, more highly soluble alpha form characterized by the predominance of alpha helices, and a more fibrous, more insoluble beta form characterized by the predominance of beta sheet secondary structures.
More suggestions(18)
begin by demonstrating that
start by assuming that
begin by accepting that
begin by understanding that
begin by supposing that
begin by acknowledging that
starts by assuming that
outset by assuming that
began by assuming that
begin by remarking that
begin by saying that
begin by explaining that
begin by granting that
begin by recognising that
begin by establishing that
begin by insisting that
begin by noting that
begin by recalling that
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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