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For the task here is that of formulating propositionally, and in as illuminating a way as possible, what items need be affirmed as intrinsically good in order to make sense out of our inclinations.
Thus, the lower approximation of X in A contains those elements in U that can definitely be affirmed as belonging to X. Furthermore, the upper approximation of X in A covers both those elements that definitely belong to X and those that cannot definitely be excluded from X.
But once one examines a broader sample of examples, and reviews situations in which the rival and narrow egalitarianism yield opposed recommendations as to what should be done, one should conclude that the rival, and not any version of narrow egalitarianism, should be affirmed as non-instrumentally valuable and incorporated into the set of fundamental moral principles.
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Vigorously-strummed guitar chords are affirmed as just the ticket by a slightly demented shriek of "Yeah!
These sentiments and the change of qibla for Muslims are recorded in the Qur'an 2 142-152, where the qibla for Jews and Christians is affirmed as being Jerusalem.
As the dominant flavor of money used in business worldwide, the dollar has once again been affirmed as the global reserve currency.
I dreamed of being affirmed as the woman that I had always been, but I never thought it would become reality.
As soon as we are told what a poem is or should be rather than being affirmed as an innately human and instinctive form of expression, poetry grows to be seen as the preserve of others.
Slow TV mines the pleasures of ambiguity, which are affirmed, as it happens, by one of the best movies I've recently seen, "Room 237," a documentary in limited theatrical release and on cable TV.
Even at a time when the right of gay couples to marry is being affirmed, as in Massachusetts two weeks ago, and when gays are visible in most professions and in entertainment, men's professional sports remain a fortress of denial.
These differences notwithstanding, both conceptions are affirmed as inclusive since they describe national identity as flexible and open to change.
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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