I'm not sure that it does - although I'm sure you could show your working on that if you wanted to - I think it tends to co-exist in people with that frame of mind. Empiricism doesn't have anything, directly, to say about gods, it says things about evidence and what we can presume based upon it. Anything that you want to presume based upon something other than evidence is beyond empiricism.
You've still come up with a definition of 'philosophical naturalism' for me to make any sort of informed commentary on what it might or might not imply.
O.
I suspect Vlad is misinterpreting naturalism or even philosophical naturalism in practice, rather than theory, in the same manner he typically misinterprets atheism.
I suspect many people, including myself, will look at the world and recognise that there is overwhelming evidence for 'nature' and for natural and physical laws. As such we accept the world based on those natural and physical laws. By contrast there is no evidence for the supernatural - something that lies outside of the natural and physical laws and therefore I (and I suspect others) use a working assumption that natural and physical laws govern our world and our universe and that the supernatural does not exist. So call it pragmatic naturalism if you will - in other words until or unless evidence is provided for the supernatural I will presume it's non-existence and base my understanding with the world on the basis of natural and physical laws alone (for which there is overwhelming evidence).
So similar to atheism - I do not believe in the existence of god or gods because there is no credible evidence for their existence. Provide that evidence and I will change my opinion - likewise provide credible evidence for the supernatural and I will change my opinion on that too.