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Consider (2) for example: from the sheer truth of a proposition p it does not (logically) follow that p follows logically from any proposition whatsoever.
In addition, on the standard model of the relation between these kinds of modalities the logical possibilities are the most inclusive; they include any proposition that sheer logic leaves open, no matter how otherwise impossible it might be.
What he did not declare was that America has been led to believe, by him and his friends, for several decades now, that markets are essentially self-regulating; and that what we have learned this week, as if we needed to learn it, is that this proposition is sheer nonsense.
By common consent, the foundation on which Ms. Fleming's stardom rests is the sheer beauty of her voice, a property as axiomatic as the propositions of Euclid.
Sheer fear, sheer terror.
Sheer illusion.
Sheer genius.
Sheer terror.
Sheer coincidence.
Proposition 13.
Several of Hoptman's propositions, such as "Architectural Drafting" and "Visionary Architecture," signal the belated arrival of a countermovement in which professional-looking draftsmanship is infused with sheer aestheticism and the bizarre.
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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