The phrase "a logical foundation for" is correct and usable in written English.
It can be used when discussing the basis or reasoning behind a concept, argument, or theory.
Example: "The research provides a logical foundation for understanding the complexities of human behavior."
Alternatives: "a rational basis for" or "a reasoned groundwork for".
Let me here mention that closely associated with this dilemma are two related traditions, one attempting to work out a logic for imperatives, the other rejecting the prospect for a logic of imperatives, but stressing the importance of imperatives as semantic components in devising a logical foundation for normative propositions.
And, this provides a logical foundation for generating all possible reconstruction designs of Zhang Heng's seismoscope before new evidences are found.
Before he became aware of Russell's paradox, Frege attempted to construct a logical foundation for mathematics.
In part, Bressan wanted to provide a logical foundation for physics.
We have a "logical foundation" for an analogical argument if this probability increase actually occurs.
2.4.2 Proposed Foundation for Mathematics Before he became aware of Russell's paradox, Frege attempted to construct a logical foundation for mathematics.
The task of analysis is to provide not a computational method but a sound logical foundation for limiting processes.
"The work provides a solid logical foundation for fresh thinking in the cyber security field," says John Arquilla, a defense analyst at the Naval Postgraduate School in Monterey, California.
The book also contains a brief discussion of Russell's Paradox, and it was reading this that inspired Leśniewski to become a logician, intent on providing a paradox-free logical foundation for mathematics.
While not a consensus terminology, these terms have a logical foundation.
Although classical first-order logic is the de facto standard logical foundation for artificial intelligence, the lack of a built-in, semantically grounded capability for reasoning under uncertainty renders it inadequate for many important classes of problems.
