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The phrase "a regress of" is grammatically correct and usable in written English.
It is typically used to describe a backward movement or decline in a situation or condition. Example: "The country's economy was experiencing a steady progress, but recent policies have caused a regress of growth and stability."
Exact(10)
Facts are also introduced in order to stop a regress of instantiation.
A common objection to volitionist accounts is that they generate a regress of mental acts (Ryle 1949).
But if it is required then we are off on a regress of judgments of fit, with no foundation in sight.
However, there is a problem: if anything that is known through a qualifier requires a prior cognition of the qualifier, there will be a regress of cognitions.
Justification may have foundations but only because we end a regress of justification with propositions that are known the evidential foundation on which all justified belief rests is knowledge (186).
As Dreyfus puts it, "if each context can be recognized only in terms of features selected as relevant and interpreted in a broader context, the AI worker is faced with a regress of contexts" (Dreyfus 1992, 289).
Similar(50)
Thus, the explosions of cross layer methods have raised the fear of a regress to monolithic software, unmanageable and unmaintainable.
Inference itself, however, essentially involves following a rule, and thus a regress – reminiscent of that familiar from Lewis Caroll (1895) – ensues.
In the present study, after a period of convalescence a significant regress of about 5% of the ventricular enlargement could be shown.
Thus, according to McTaggart, we never resolve the original contradiction inherent in the A series, but, instead, merely generate an infinite regress of more and more contradictions.
If we suppose (as we seem compelled to) that it is not a part of the original series of events, we are launched on a vicious regress of time-dimensions.
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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