Math is applied philosophy and theory of knowledge.
Physics is Math applied on reality.
Chemistry is applied Physics.
Biology is applied Chemistry.
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.
Of course, I have asked many philosophical questions of myself, when understanding software. This, I've noticed, especially happens when you're crossing layers. For example, between hardware / assembly, assembly / C, C / OOP.
However, considering that we have not really come up with a language with which we can communicate with computers seamlessly, I have my doubts. Because, unless we have a language, we can't really philosophize.
This could be a problem due to the interfaces we have though. Or probably, because our interfaces with computers seem to be getting broader and richer with each generation of hardware, we haven't really been able to freeze on the language through which we communicate.