I agree with this and would add that science (by which I mean areas of knowledge observing phenomena and seeking to describe them quantitatively) interacts with

I agree with this and would add that science (by which I mean areas of knowledge observing phenomena and seeking to describe them quantitatively) interacts with deductive logic (including math) via information theory. Science without modeling would be devoid of predictive power. And, personally, I've never heard ethics or logic described as sciences. Please correct me if this is common terminology. But of course it doesn't diminish their importance.