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The doctrine associated with Avicenna as to the subject matter of logic came to have decisive impact in the Latin logical tradition, though it was not the only doctrine in play through the later Arabic texts.
As a matter of logic, both things cannot be true.
It is, as Hermione might say, a matter of logic rather than wizardry.
As a matter of logic, this disparagement of childless leaders is ludicrous.
It makes no sense as a matter of logic or law".
If your verbal reasoning led you to think that expansionary fiscal policy can't be expansionary as a matter of logic, well, your logic was wrong.
Brad DeLong reminds us of Eugene Fama's remarkable (in the worst way) claim that stimulus can't work as a matter of logic.
It's a simple matter of logic that when two sides in a negotiation have opposing interests and they need to reach a deal, something has to give.
Ms. Mark-Viverito said Smithfield's lawsuit made no sense to her as a matter of logic, to say nothing of principle.
The top-to-bottom design decision was not simply a matter of logic; tests showed that people actually made fewer errors and took less time with that arrangement than they did with the calculator arrangement.
Similar(1)
Moreover, the idea of truth values has induced a radical rethinking of some central issues in the philosophy of logic, including: the categorial status of truth, the theory of abstract objects, the subject-matter of logic and its ontological foundations, the concept of a logical system, the nature of logical notions, etc.
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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