You seem to be suggesting that science isn't logically valid and that logic isn't scientifically valid.
If I can avoid a "what do words mean" type of conversation by saying so, then let me try to clarify - I guess what I'm saying is that it's difficult to reconcile formal logic with empiricism or abduction. Or, for that matter, induction. Many philosophers of science have construed this as a problem with empiricism and abduction - Hume's inductive fallacy, for instance. Other philosophers, for instance the apparent authors of the Wikipedia article on abduction, expand the scope of logic to envelop modes of reasoning beyond the formal deductive.
I choose to construe the issue as being a problem with logic, one that largely relegates logic to the status of an amusing parlor game as opposed to a useful tool for grappling with the world.
If that is the case I would suggest you are using too narrow-a-definition of what is "logically valid".
That may be, because I like to keep "valid" distinct from "true." A proposition in logic is
valid when it descends from premises by means of logical transformations that preserve truth values. A proposition in logic is
true when it descends validly from premises that are true. Most of the time. Of course,
per Godel, under some circumstances a proposition can be valid but not true.
I guess what I'm getting at is, I'm much less interested in whether abductive reasoning is logically valid, since it is useful and true, which is more important.