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Together they explain why it's so natural for mathematicians to use "x is uncountable" as an abbreviation for Ω x) and (so) why someone might be inclined to think that the fact that M ⊨ Ω[mˆ] should entail that mˆ is uncountable.
Further, it's only if this model-theoretic interpretation is pretty closely tied to the ordinary English interpretation and so, derivatively, to the ordinary English expression "x is uncountable"—that we will have any real grounds for believing that the fact that M ⊨ Ω[mˆ] should entail that mˆ is uncountable.
Roman Catholics believe that the life of every embryo is sacred from the moment of its conception, but they do not believe that the principle should entail that just wars may not be fought, in which many human lives will be lost.
Otherwise it might be asked why the alleged conceptual links between the concepts of content and belief should entail that what is essential to belief is also essential to content.
Our proportion of false positives therefore appears low, and although we did not assess the proportion of false negatives, our observed incidence is in line with the published literature, which should entail that our approach is valid for the proportion of herpes zoster cases which have merited/triggered health care attention.
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Just as the last great wave of party reform, in the late 1960s, took control from party bosses and gave it to a new generation of activists, perhaps the next phase should entail broadening that power to include less ideologically rigid voters — by allowing independents to vote in all primaries.
Training should entail more that zapping an individual to remove hair.
That should entail, as McKinsey points out, improving consumer credit and consumer choices.
"You can eat that?" she asked, apprehensive, as I collected the choicest greens from the beach (as if I knew what that should entail).
Not only are they bound together by layers of family and financial ties, but also a shared desire to preserve the system -- albeit with divergent views on what that should entail.
At the time, the state required students to demonstrate proficiency in math and reading before they could graduate, but allowed local districts to decide whether that should entail passing the Pennsylvania System of School Assessment math and reading tests or alternative tests in the subjects.
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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