The phrase "a foundational point and" is correct and usable in written English.
It can be used when introducing a key idea or argument that serves as a basis for further discussion or analysis.
Example: "In our discussion of climate change, a foundational point and critical aspect to consider is the impact of human activity on global temperatures."
Alternatives: "a key element and" or "a fundamental aspect and".
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.
This has been taken by many to be a vindication of the foundational point of view of mathematical intuitionism.
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.
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.
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.
There are many problems with this message, but I'm going to stick with my foundational point: Marriage should never be taken lightly.
See (Rathjen 2005a) for a survey of results and a foundational discussion, and also section 5.2.
G.E. Moore (1903), Thomson's target, is a foundational monist and normative pluralist.
