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So definable determinacy is a fruitful consequence of the existence of such inner models.
Large cardinal axioms have the fruitful consequence that they imply axioms of definable determinacy and hence illuminate the structure theory of definable sets of reals.
Another fruitful consequence of the experience was the opportunity to identify success (and risk) factors related to restructuring software development in the format of service delivery.
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Without the recovery theorems one could always wonder whether there are incompatible axioms with the same fruitful consequences.
In the first part, one argues that there is a "good" theory (one having certain fruitful consequences).
We conclude with a look to the future, which promises fruitful consequences from the convergence of molecular evolutionary theory, laboratory-directed evolution, and synthetic biology.
A FRUITFUL result for you!
A fruitful moment, you'd think.
Humanism itself, it appears, requires in its advanced stage the relinquishing of the metaphysical and always normative view of "human nature" on behalf of a seemingly more modest, careful, prudent, but also more fruitful consideration of consequences regarding different kinds of foreseeable enhancements.
As a consequence of this fruitful and collegial collaboration, hysterectomy-associated morbidity has decreased and patients are selected more appropriately for the traditional abdominal, vaginal or endoscopic route.
Recently, Gu et al., 2005 [80] have shown that vanilloid subfamily members are expressed in the lung and are responsible for the pulmonary chemoreflex response, suggesting further study of these TRP subfamilies and their potential role in smoking behavior and downstream consequences may be fruitful.
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