I would argue arithmetic is founded in logic, not the reverse. It's foolish to believe mathematics are anything more natural than an invention predicated on logical notions.
I'm saying mathematics might be sufficient to express logic, but it ain't necessary.
Geez all the downvotes for a statement that isn't even controversial?
In cases like the article posted on the discussion of energy, it's hard to make cases without numbers. I admit that I hadn't read the article when I initially posted. I should also add that I didn't downvote your comment.