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(Perhaps a proposition's being mathematically necessary can be defined as its being both metaphysically necessary and a mathematical truth (Fine 2002, 255), or as its being metaphysically necessary because it is a mathematical truth).
We conclude that ATP is required for the processing and secretion of IL-1β in our assay, but that its exogenous supply is not necessary, because it is available in culture possibly resulting from a small percentage of dying cells in response to E. coli challenge or active secretion which can activate THP-1 cells in an autocrine way [26].
Ministers normally use regulations to uprate benefits, but a bill is necessary because it is a multi-year settlement.
Experts have long argued that the revisions are necessary because it is difficult for the average consumer to distinguish legal from illegal ivory.
Active resistance is necessary because it is the moral and political indifference of demoralized, self-seeking citizens that normalizes despotic power.
Such regulations were necessary because it is too expensive for start-ups to build their own networks and they must instead rely on the components already created by existing companies.
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The book, seen from one of its many faces, seemslike an exploration of the new young, at times channeling a more deadpan Bret Easton Ellis, without the necessary-because-it-is tedium.
Is it really necessary because it's so painful!' I always say: 'If men had to undergo this examination they would have found another test many years ago.'.
She had moved south, long before it was necessary, because it was the sensible thing to do.
Nevertheless, he believed that the Rally against Debt is "necessary because it's addressing a long-term need to be fiscally responsible.
It is difficult to watch and re-engage with but ultimately necessary because it's brought to bear some very serious questions for me.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com