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Thus a sentence is valid in the general semantics iff it is logically implied (in first-order logic) by the set of comprehension axioms.
Should properties logically implied by other properties be counted?
Here he argues that God's actual existence is logically implied by our idea of God as a perfect being.
A query Q(X) is sent to a knowledge base Σ (a set of logical formulas) and then evaluated in Σ by a function a n s that returns a set of answers containing instantiations of the free variables (in other words, a set of formulas that are logically implied by Σ); as we focus on the generalization of queries, we assume the a n s function and an appropriate notion of logical truth given.
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Further, Quine argued that empirical hypotheses can't logically imply anything about experience except against a background of assumed laws of logic.
Yes, we have won promotion to the top division every so often; but the fact of promotion logically implies an earlier relegation.
If we take cronyism to mean favoritism shown to friends without regard to qualifications, it is obvious that preponderance does not logically imply the presence of cronyism.
The implication problem is the most important one in dependency theory, and is the problem of determining if a set of dependencies logically implies another dependency.
We give an axiomatization for those systems that are complete in the sense that they explicitly contain all information they logically imply.
The idea of saving or delivering from some dire situation logically implies that humankind, as a whole or in part, is in such a situation.
This does not, as Goodes's plethora of reactionary critics also suggest, logically imply that other Indigenous people – including players who have not spoken out against the extant anti-black racism in Australian society – are somehow akin to "Uncle Toms".
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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