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The improvement of Durant's defense clearly began at the most foundational point possible; although it's easier to observe steals, blocks or even the effectiveness of his close-outs as evidence of his improvement, Durant's adjusted footwork has provided the core of his burgeoning defensive effectiveness.
This has been taken by many to be a vindication of the foundational point of view of mathematical intuitionism.
Since the last step guarantees the consistency of the original theory, from a foundational point of view one is interested in the methods used to prove normalization.
Indeed, from a foundational point of view it does not make much sense to understand the 'proofs' above as proofs in an intuitionistic system which these conditions are supposed to be specifying.
What is important, from a foundational point of view, is that the set-theoretic version of $\mathbb{R}$, together with the usual algebraic operations, satisfies the categorical axioms that the real numbers satisfy, namely those of a complete ordered field.
More generally, unless we have some foundational point outside our epistemic practices from which to assess the epistemic issues, the project of systematizing our mundane normative intuitions will simply collapse into the descriptive sociology of knowledge.
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Exploring the topic opens up interesting questions about whether the claim "God is the reason there is something rather than nothing" actually explains anything, or whether such a claim represents a non-rational foundational starting point that grounds the rest of the discussion.
And while the research is part abstract and solidly foundational, Hildebrandt points out that the technologies being examined — AI and blockchain — are already being applied in legal contexts, albeit in "a state of experimentation".
There have also been well-researched and comprehensive proposed guidelines/curriculum for teaching EUS and providing a foundational knowledge of point-of-care ultrasonography.
By providing this foundational and continuing connection point between all students and the lecturer, a vibrant community of sharing is both fostered and maintained.
However, as no study to date has quantitatively assessed the difference between round and rounded rectangular tunnels, we believe that our results provide important foundational information regarding this point.
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