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The phrase "a different principle of" is correct and usable in written English.
It can be used when discussing an alternative or distinct foundational concept or rule in a particular context.
Example: "In this study, we will explore a different principle of economics that challenges traditional views."
Alternatives: "an alternative principle of" or "a distinct principle of".
Exact(2)
Moreover, at IIIp6, in addition to using the term 'conatus' again, Spinoza also uses the same phrase that he uses in framing a different principle of inertia at IIp14 of his exposition of Descartes's physics: "as far as it can by its own power" quantum in se est.
Membership consists of four different degrees, each exemplifying a different principle of the Order.
Similar(20)
However, one can see that the data obtained by RBS and AFM methods differ in some respects, the differences being obviously due to different principles of both methods.
Both institutions however, after the successful 'unification efforts' by the Majapahit immigrants when they tried to establish their rule throughout Bali, did not merge into a single institution with equal integration of two different principles of organizations or denominations.
The original position is not a bargaining situation where the parties make proposals and counterproposals and negotiate over different principles of justice.
For Aristotle, sublunary or terrestrial matter is of four kinds [earth, air, water, and fire] and has two forms, heavy and light, which by nature are different principles of (natural) motion, down and up.
Despite the fact that CT and MRI have different principles of image formation, both imaging techniques can provide high-resolution anatomical images while playing a more and more important role in providing molecular information.
Antisymmetry then implies that x is identical to y. (The extensionality objection is sometimes framed in terms of a different Extensionality principle according to which objects are identical if and only if they share all of the same proper parts.
Occasionally a character consists of only one component; more commonly two or more components are combined to form more complex characters, using a variety of different principles.
A different application of this principle is encountered in South Asia, where a pair of short wooden mirliton "trumpets" are placed against the throat of a humming performer.
In addition to thinking that there are some truths that are impervious to doubt, Malebranche also has a different understanding of Descartes' principle that whatever one clearly and distinctly is true.
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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