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"categorical unity" is a correct and usable phrase in written English.
It is a term used in philosophy and political science to refer to the idea that all members of a particular group should identify as belonging to the same class, and that any individual members should not be excluded. For example, "In order to ensure a sense of national unity, the government must strive for categorical unity in creating policies that are inclusive of all its citizens."
Exact(1)
The place of the concept of unity in the doctrine of the transcendentals is determined by two defining moments in particular: (i). the relation between transcendental and categorical unity, or metaphysical and mathematical unity, i.e. the one as the principle of number; (ii).
Similar(59)
On one subject, Carmona is categorical.
Various aspects of chimpanzee visual cognition have been behaviorally explored, including categorical color perception [2], visual illusions [3], perception of object unity [4], global and local processing of visual elements [5], [6], and recognition of pictorial representations [7].
As to the first sort of unity concerning the number of categories, some posit a categorical distinction between object and property, thereby recognizing a pluralism of at least two categories.
Thus, for the sake of the unity of the moral personality, the human takes as a categorical imperative what previously was but an aesthetic judgment.
For continuous variables, the parameter estimate corresponds to the change in the score for a change of 1 unity of the explanatory variable, all other things being equal; for categorical variables, it corresponds to the difference in score for the associate category compared to the reference category, all other things being equal.
That's categorical," she said.
That sounds vigorous and categorical.
It was fake unity".
Maintain stability through unity.
Unity is around 11%.
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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