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The phrase "a rational intellect" is correct and usable in written English.
It can be used when discussing the capacity for logical reasoning or sound judgment in a person or entity.
Example: "In philosophical debates, it is essential to engage with a rational intellect to arrive at meaningful conclusions."
Alternatives: "a logical mind" or "a reasoned intellect".
Exact(2)
If so, the confession cannot be deemed 'the product of a rational intellect and a free will.' Blackburn v. Alabama, 361 U.S. 199, 208, 80 S.Ct.
In contrast to Baffioni 2006, 149 150, Heck (2008, 205 209) seems to side with Netton's reading of the intellect-guide in terms of a rational intellect.
Similar(58)
There was always a rational reason.
He wrote: "Whatever else his (Smith's) protean art may be -- and amongst other things, in both his figurative and non-figurative work it has been a wildly expressive, almost violent art of tremendous intuitive power -- it has always been first, and foremost, a celebration of rational intellect".
Freud, who lived in turn-of-the-century Vienna while demagogues were scapegoating Jews and liberals for the mass suffering inflicted by industrial capitalism, came to see the rational intellect as "a feeble and dependent thing, a plaything and tool of our impulses and emotions".
Comedy's dualistic view of the individual as an incongruous mixture of bodily instinct and rational intellect is an essentially ironic view implying the capacity to see things in a double aspect.
But, as he conceded, "the rational intellect" might be regarded as a social product, too, equally in the service of the enemies of autonomy.
The flip side of exposure to a system designed to rationalize and quantify creative success is that it reminds me that the rational intellect pushes my unconscious to be more interesting, but the unconscious should still drive my work.
To his own surprise, he wrote in the preface, he had come to believe "that art does not always tell the truth or the best kind of truth and does not always point out the right way, that it can even generate falsehood and habituate us to it, and that, on frequent occasions, it might well be subject, in the interests of autonomy, to the scrutiny of the rational intellect".
Facile optimism is the last thing the US needs but on occasion Obama seems to project not the cheery confidence of FDR, but a rational pessimism made all the more disconcerting by the obvious force of his intellect.
Medieval philosophers distinguish between two kinds of appetite; a rational appetite, called the will, that is responsive to the dictates of the intellect, and an appetite that is responsive to sensory apprehension, called the sensory appetite.
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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