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In the context of the relationship between fuzzy sets and many-valued logic, an approach toward a game-oriented look at logical validity was offered by Robin Giles.
Not all philosophers accept these explanations of logical validity, however.
The estimated model parameters were checked for logical validity.
(It should however be kept in mind that neither logical validity nor logical implication is decidable).
And logical validity here means validity for all structures from the class \ \bK\).
There is, of course, a wide range of notions of validity, but here we are particularly interested in logical validity.
Validity with respect to every choice of an atomic system can be viewed as a generalized notion of logical validity.
Lacking such descriptions, possible worlds semantics is not really a theory of meaning but a theory of logical form or logical validity.
The concept of logical consequence has proved much more fruitful than those of theorem and of logical validity for the development of such a general theory.
And validity in that formal language, a technical notion defined in the appropriate way for that formal language, nicely models logical validity or logical consequence in our natural language system of representations.
Many people have wanted to give an account of logical validity which pays some attention to conditions of relevance.
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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