I think we have to distinguish between fact, conclusion, certitude, belief, faith, and opinion to get anywhere here.
First, any datum is immediately available to anyone willing to take the time to obtain it. This constitutes it as a fact.
From an assortment of data one may establish a conclusion. If this is done with perfect logic, then that conclusion becomes a fact – but it is subject to thorough logical analysis.
In the absence of thoroughgoing data adequate to form a logically sound conclusion, one may infer from the majority of the data an opinion. Such an opinion may be strongly held, but is subject to change (by a rational person, at least) when additional data becomes available that either proves or refutes its premise.
Belief is similar to opinion but distinguishable by three characteristics: (1) It generally comprises opinions on topics generally regarded as supernatural in nature; (2) It usually deals in matters that are not at present subject to logical proof; and (3) It generally constitutes matters on which strong convictions and their results in behavior choices are held.
Certitude is the valid or invalid sense of knowledge that something is indeed factual. Facts and beliefs are held with certitude by most individuals, except true agnostics, who staunchly restrain themselves from any beliefs whatsoever.
Faith is one’s certitude of the goodwill of another and the consequent commitment to that other. I have faith in pldennison: I am certain he would come to my assistance if I was in need of something he could provide without an extreme sacrifice (and suspect he might come through even at personal cost); I know I can count on the factuality of matters he posts as fact; and I know I can count on his respect of my opinions, even when we disagree.
I have faith in God because I have personally known a supernatural entity that purported itself to be Him and am convinced of His goodwill. This is my belief, in which I have certitude.
However, I consider it to be entirely reasonable for another to have inadequate grounds for such a faith, and to therefore be lacking in such a belief, on the grounds that he or she has no or insufficient evidence to construct such a belief.
Pragmatic atheism is in fact an opinion. It results from the reasoning by the PA that there is not sufficient evidence to form a belief in any god, and that one may therefore make the presumption that such a god does not exist. Virtually everyone holds the conclusion that there is no such deity as Xiuntlaco, the interpretation of Quetzalcoatl proposed by a Mayan heretic in 1344 AD and abandoned by the few he had convinced of it after he was killed by a jaguar the following year, contrary to his own prediction of his death, and failed to return to life as he had said he would.
Can one describe pragmatic atheism as a belief? I would say so, in that it forms an opinion, held with some certitude, on assertions regarding the supernatural on which no logical certitude is possible.
It is not a faith, for the same reason that Wildest Bill’s view that Buddha will not free him from reincarnation if he follows the Eightfold Path and achieves Enlightenment is not a faith. Quite simply, Bill is a variety of Christian who rejects all of the Buddhist view as poppycock, Englightenment, reincarnation, karma, and the whole schmear inclusive. There is no adherence to the goodwill of another involved. His view that Jesus died on the cross, and that His atonement will suffice to save him, no matter how off the wall his opinions may be or how poorly he practices the Fruits of the Spirit, is in fact a faith: Bill is betting his existence on the goodwill and power of the Risen Christ.
So am I. The one point on which he and I differ is how one is supposed to respond to others in consequence of this belief.
Can one achieve any logical conclusions working strictly from facts regarding matters of belief? I think virtually all, believers, agnostics, and atheists alike, would assert one cannot. The best one can do is strongly supported opinions – and these will vary according to the weight one places on various data, and what data are available. (Which is why pld and I, holding diametrically opposed views on this truly crucial subject (pun intentional), can nonetheless see eye to eye on how one deals with it.)
I would note that in 1940 Robert A. Heinlein based a novel, Beyond This Horizon, on the premise that a thorough investigation by scientific means could lead to conclusions that are logically supported and validate or refute propositions of metaphysics and theology. This has always to me seemed most worthy of follow-up, but the only persons to have done it have not been sufficiently rigorous, with obviously bizarre results.