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The phrase "cognitive principle" is correct and can be used in written English.
It refers to a fundamental belief or concept related to the way we think or process information. Example: According to the cognitive principle of memory, we are more likely to remember information that is personally relevant to us. Example: The cognitive principle of problem-solving states that breaking down a complex task into smaller steps can lead to a more successful outcome.
Exact(5)
Such is the Cognitive Principle of Relevance.
Teleology, and teleological notions generally, while licit for certain heuristic purposes, pace Kant, cannot be raised to the level of cognitive principle.
(In view of the Cognitive Principle, he wouldn't process her utterance unless he took it to be the most relevant stimulus within reach, so to induce him to process it, she must get him to take it to be the most relevant stimulus within reach).
Hsee has been using this cognitive principle to come up with practical advice for those in the philanthropy business.
The limited channel capacity [33] is a cognitive principle which states that there is an upper limit on the amount of detail a human can process before being overwhelmed.
Similar(55)
As the title of the New Elucidation of the Principles of Metaphysical Cognition indicates, it is a new attempt to clarify the cognitive principles needed for understanding the structure of reality.
"They were hand-picked because of their specific interest in the cognitive principles underlying the magic".
Others have argued that it is not grammatical competence as such that is innate but more general cognitive principles and that the application of these to language utterances in particular situations ultimately yields grammatical competence.
Uncovering cognitive principles for effective teaching and learning is a central application of cognitive psychology.
Baron (2004) uses the cognitive principles to explain why individuals become entrepreneurs, identify opportunities and exploit them.
CASE expert systems are based on the same general cognitive principles common to the properties of particles belonging to the atomic and sub-atomic world.
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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