I would ammend the last two points and say Chemistry is Physics applied to physical primitives and Biology is Chemistry applied to organic phenomena or something like that.

It could be argued that physics has nothing at all to do with math; merely, that it is a convenient and powerful tool for humans to make sense of it.

I've seen Susskind convincingly (albeit shallowly) argue that more "primitive" animals understand physics and I would be surprised if it was easy to argue that animals understand mathematics without circular logic or quick and loose definitions of what math is.

Agree. I had also thought of the sciences in that manner.

Which brings to mind this classic XKCD: https://xkcd.com/435/