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'coherence and consistency' is correct and usable in written English.
You can use it whenever you need to emphasize that a concept, idea, or argument should be arranged with purpose and consistency. For example, "The article needed more coherence and consistency in its main points."
Exact(44)
We aim for coherence and consistency, but not at the expense of clarity.
But the coherence and consistency of mathematics made her feel safe.
We provide empirical evidence of the lags related to the coherence and consistency of the existing policy and planning framework.
Brandom reconciles otherwise disparate elements of Sellars's system, revealing a greater level of coherence and consistency in the philosopher's arguments against empiricism than has usually been acknowledged.
As Gove cuts civil servants in his department, Wilshaw is bumping up Ofsted staffing and is even abandoning the outsourcing of inspection, adding substantially to its headcount – for the sake, he says, of coherence and consistency in school visits.
Academic critics are therefore always in the market for a theoretical apparatus that can give coherence and consistency to this enterprise, and Freudianism was ideally suited for the task.
Similar(16)
In Fig. 2, there are coherences and consistencies in the direction of the real induction arrows over a relatively large area, especially at the eastern and central parts of the study area.
To better maintain structure coherence and neighborhood consistency, an exemplar-based inpainting algorithm is presented by introducing color-gradient patch sparsity (CGPS).
Three core regions, namely the Upper Region (UR), the Middle Region (MR), and the Lower Region (LR), were identified with a high level of the spatial coherence and temporal consistency rate, which represent the geographical extent and magnitude of the response of the ENSO forcing to the precipitation patterns.
Other criteria for judging species concepts include intertheoretic coherence and internal consistency.
As Goldman notes, we can fix the range of introspective reliability only by using introspection and evaluating its results for internal coherence and for consistency with other sources.
More suggestions(17)
concordance and consistency
harmony and consistency
coherency and consistency
compliance and consistency
homogeneity and consistency
consensus and consistency
uniformity and consistency
coordination and consistency
correlation and consistency
continuity and consistency
inconsistency and consistency
harmonization and consistency
congruence and consistency
coherence and responsibility
coherence and credibility
coherence and humanity
coherence and sinew
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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