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One can say that the default direction of implication, from more restrictive to less restrictive predicates, has been inverted twice once by 'No', and once by 'every'every
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Note that the direction of implication for the last of these is the reverse of the first three.
In other words, the direction of logical implication remains from axioms to arithmetical facts, but the direction of justification may go the other way, at least in the case of very simple, obvious arithmetical facts.
Two sets of implications flow from the analysis.
Rick Wagoner's ouster from General Motors at the direction of the Obama administration has profound implications, not only for the domestic auto industry, but for corporate governance in general.
Here, we summarize the methods and results from this research and discuss the implications, limitations, and future direction of our work.
Forget about the narrow political implications and cheer the direction of travel.
The findings are discussed in light of potential implications on the future direction of education.
Our results have implications for guiding the direction of future research.
Finally, we discuss implications and the future direction of research using this data set.
From the direction of the protesters".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com