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The phrase "apply to logic" is correct and usable in written English.
It can be used when discussing how certain principles, rules, or concepts are relevant or applicable to logical reasoning or frameworks.
Example: "The principles of mathematics apply to logic, helping to clarify arguments and improve reasoning skills."
Alternatives: "pertain to logic" or "relate to logic".
Exact(1)
There are well known philosophical puzzles about normativity, and these apply to logic as well if it is normative.
Similar(59)
As it applies to logic in systems of the 20th century, the term is obsolete.
And mental logic applies to logical form sometimes.
Similar remarks apply to the logic of a plural quantifier like "some objects".
Haack emphasizes that her criticisms of fuzzy logic do not apply to the base logics.
Why wouldn't the same logic apply to young girls?
Surely, all three logics apply to Trump.
But can his logic possibly apply to your child?
The same logic should apply to football.
The same logic would apply to all government social programs.
The same logic should apply to our data.
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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