... what "innumerable" means, and I'll try to answer your question. (If "innumerable" means "denumerable", then you surely know what the answer is.)
If one is pedantic who pays close attention to the technical meanings of terms when they're being used in their technical senses, then I guess I'm pedantic. But of course logic and mathematics are not the only fields that exploit technical terms in their precise meanings. All or virtually all sciences do. And one would do well to follow the experts in their usage of those terms when they're being used technically...as I was every time I used the term "denumerable", because "infinite" is imprecise. [To say that a set has infinitely many members tells me no more about how many members the set has than it does to tell me that a set has finitely many members.] Surely you can't successfully use terms like "force", "mass", "energy", etc. in their everyday senses when doing or talking about physics.