You state:
Let us assume that nature is ordered in a rational and intelligible way, and see what progress we can make;
But that is precisely what the article states:
All science proceeds on the assumption that nature is ordered in a rational and intelligible way. This is clarified in the next sentence:
You couldn’t be a scientist if you thought the universe was a meaningless jumble of odds and ends haphazardly juxtaposed.As to the statement about a
faith-based belief system, for some reason, you omitted the actual statement that contains this assertion. The sentence that opens the paragraph you only partially quoted, namely:
The problem with this neat separation into “non-overlapping magisteria,” as Stephen Jay Gould described science and religion, is that science has its own faith-based belief system. All science proceeds .... That, of course, puts the statement in terms of Gould's claim of “non-overlapping magisteria.”
But, further, the larger context of the article supports the faith-based statement. For instance:
When I was a student, the laws of physics were regarded as completely off limits. The job of the scientist, we were told, is to discover the laws and apply them, not inquire into their provenance. The laws were treated as “given” — imprinted on the universe like a maker’s mark at the moment of cosmic birth — and fixed forevermore. Therefore, to be a scientist, you had to have faith that the universe is governed by dependable, immutable, absolute, universal, mathematical laws of an unspecified origin. You’ve got to believe that these laws won’t fail, that we won’t wake up tomorrow to find heat flowing from cold to hot, or the speed of light changing by the hour.
I don't know that any insight is gained quibbling over whether we should interpret these requisite assumptions to be philosophical or practical. If Davies was told as a student that these laws are not to be questioned, then his case is pretty much made.