Sentence examples for foundational point of from inspiring English sources

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.

Bernays has written (see Bernays' entry on David Hilbert in Edwards 1967) that this result of Gödel's drew the attention of the Hilbert school to two observations: first, that intuitionistic logic goes beyond finitism, and secondly, that finitist systems may not be the only acceptable ones from the foundational point of view.

This is a foundational point and highlights a fundamental misinterpretation of some critiques.

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.

There have also been well-researched and comprehensive proposed guidelines/curriculum for teaching EUS and providing a foundational knowledge of point-of-care ultrasonography.

They are envisioned to successfully bridge the gap between foundational scientific progress and the realization of rapid point-of-care disease assessment and biofunctional devices with higher-order behavior.

Christian discourse uses the portrayal of Jesus in the foundational documents of Christianity as a point of departure.

Both the foundational status and the inevitability of sexual difference became a key point of contention between sexual difference theorists and the post-structuralist theorists influenced by Foucault and Derrida.