The phrase "accepted basis for" is correct and usable in written English.
It can be used when referring to a commonly recognized or agreed-upon foundation for a particular argument, theory, or practice.
Example: "The accepted basis for this research is the theory of relativity, which has been validated through numerous experiments."
Alternatives: "recognized foundation for" or "established basis for".
But in the absence of an accepted basis for making the distinction, what counts as "natural" for humanity remains a contentious normative judgment.
(If one wants to deny that $L$ is a law one needs some principled, generally accepted basis for this judgment and, as explained above, it is unclear what this basis is).
"We have a new universally accepted basis for negotiations.
Because decision criteria for potential PHEICs have been accepted by all IHR states parties, these criteria provided an a priori accepted basis for our rapid and transparent joint assessment with the Kenyan Ministry of Health.
Although some loose-ends continued to defy resolution until much later in the eighteenth century, by the early 1750s Newton's theory of gravity had become the accepted basis for ongoing research among almost everyone working in orbital astronomy.
And once political support had been accepted, the basis for a possible military intervention would have been created.
After this paper was accepted, the basis for decisions regarding proximal humeral fractures suddenly increased to 819 patients studied in reasonable randomized trials.
There is, however, no universally accepted theoretical basis for choosing direct or indirect methods. 1 Some people think that utilities should be derived from patients (ideally at stages throughout their illness) on the grounds that only patients really know what the condition is like.
"Moreover, patients understand and accept the basis for this treatment with many patients requesting the treatment from the doctors treating their C. difficile thus prompting referral to myself.
This lack of modest courage distances yourself from realities on the ground such as your astonishing failure to accept the basis for the Meals on Wheels program serving older people living alone.
If domestic abuse alone is accepted as a basis for asylum, the immigration agency worries, there could be a wave of such cases.
