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The phrase "of logic" is correct and usable in written English
It can be used to refer to concepts, principles, or aspects related to logic. Example: "The study of logic is essential for understanding mathematical reasoning."
Exact(59)
That's a lot of logic.
Yet threads of logic come through.
The spectacle suggested a defiance of logic.
Can anyone disprove this train of logic?
That's the kind of logic I admire.
They were enemies of logic and progress.
That is a strange bit of logic.
This is a sparkling lapse of logic.
That kind of logic infuriates many mainstream gay people.
I recognized this version as a convenient twisting of logic.
But that kind of logic can go the other way.
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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