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The phrase "of a logic" is not typically used in spoken or written English
It is not grammatically incorrect, but it is not commonly used in modern English. Instead, we would use phrases like "of logic" or "using logic." Example: The solution to this problem requires the use of logic.
Exact(60)
However, Lewis himself might have trouble with this suggestion, since he recognized the possibility of alternative logics, and presumably, any decision, even pragmatic, about the adoption or rejection of a logic must operate on some logical assumptions.
The pretense of a logic, the fantasy of a solution.
It is economics in Ludwig von Mises's formulation of a "logic of choice".
Asked what he liked best about chess, he replied, "I guess I like it because it is kind of a logic game, and I am pretty good at logic".
The result, he said, "was the most monumental non-nuclear explosion and fire ever seen from space".This was one of the earliest demonstrations of the power of a "logic bomb".
Field's approach is by way of a logic that abandons the law of excluded middle.
Bayesianism provides some kind of a logic of induction that is normatively justifiable.
(referred to as "not ") is the negation of a logic proposition.
Multidriver MinV gates help reduce the number of needed gates for implementation of a logic circuit.
Most UCB banks have been established on the basis of a logic of radical diversification.
The consequence relation of a logic system can be given in several ways, some proof-theoretic, others semantic.
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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