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In our case such a vertical relation does not exist, however we will keep the label "vertical" for the sake of exposition.
A relation does not exist between the lactate clearance and mortality in all patients.
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This relation did not exist before.
It might occur that the duals, that are only defined through a refinement relation, do not exist in L2.
Also, (W_{PA1} ne W_{PA2}), hence the equivalence relation doesn't exists among the actors PA1 and PA2.
Now obviously this shift away from the traditional Aristotelian conception has the awkward consequence that things can be related even if their relations do not exist.
For, given Lewis's definitions of intensional entities in §2.1.3, it follows that certain intuitive propositions, properties, and relations do not exist.
Note that other logical relations do not exist and the risk difference is the only measure for which such a logical link exists [[ 2]; chap.
The false-preserving principle indicates that if a construction relation or state transformation relation of a component does not exist in a low resolution model, then the corresponding relations should not exist in its high resolution model.
I read somewhere that a thing that does not exist in relation to anything else cannot itself be said to exist.
More obscurely, the preacher in "Gilead" recalls reading "somewhere that a thing that does not exist in relation to anything else cannot itself be said to exist".
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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