The paper studies some cases in physics such as Galilean inertia motion and etc., and hereby, presents a logical schema of recursive abduction, from which we can derive the universality of physical law in an effective logical path without infinite induction asked. Recursive abduction provides an effective logical path to connect a universal physical law with finite empirical observations basing on the both quasi-law tautology and suitable recursive dimension, the two new concepts introduced in this paper. Under the viewpoint of recursive abduction, the historically lasting difficulty from Hume’s problem naturally vanishes. In Hume’s problem one always misunderstood the universality of natural law as a product of empirical induction and the time-recursive issue as an infinitely inductive problem and, thus, sank into the inescapable quagmire. The paper gives a concluding discussion to Hume’s problem in the new effective logical schema.