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But clearly "∀x(Nx→¬Mxx)" is not a logical consequence of, say, "N0".
Given the minimal assumption that the relation of logical consequence is reflexive, that means that proposition expressed by a = b is a logical consequence of the proposition expressed by a = a, even though the sentence a = b is not a logical consequence of the sentence a = a.
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Ms A described herself as a very controlling, perfectionist, anxious and self-demanding woman for whom the disease was not a logical consequence of her previous behaviour, which had focused on healthy eating habits, reduced alcoholic intake, no smoking and almost daily exercise.
Moreover, the negation of ψ is not a logical truth (ψ has a model), and it's doubtful that the negation of ψ is a logical consequence of any set of necessary truths of the appropriately restricted types.
It is not a logical necessity.
Remember, this is not a logical analysis.
While complaining of health professional outflows, several SSA countries have large numbers of unemployed health workers [ 23], creating an environment in which migration is not only a logical consequence, but perhaps inevitable.
Sparing the autonomous nerves in the TMMR operation is not a goal in itself, but a logical consequence, because the nerves are not part of the MGU.
From the examples provided, it seems that 'agreement' here is not a notion of entailment or logical consequence.
But such a confrontation is not only a logical outcome but the most logical outcome.
Clause (i) is needed to avoid the result that the number 17, e.g., is exactly located at itself. is not a necessary truth, since it too is a mixed principle and does not seem to be a logical consequence of any collection of necessary truths that are either purely mereological or purely locational.
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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