HarryStotle:
You rely on God’s omnipotence to have arranged things to bring about a proper outcome. That stipulation no longer makes the events random, but designed. In actuality, you are promoting design without invoking the name, likely for some ideologically correct reason or other.
The relationships between various forms of constrained randomness, omniscience and omnipotence are complex and interlocking with each other. It may be that in the end we are all agreeing with each other. My avoidance of the word ‘design’ is indeed deliberate, but not idealogical. On this website, it is often assumed to mean “Intelligent Design” which in turn is usually defined as some form of the spontaneous creation of living species. it also suggest a very pre-determined plan, within which the concept of free will is also rather unconformable. I prefer a scenario in which God’s laws permit a wide selection of possible outcomes, one of which is ours. It is not impossible that many, if not all, of the other possibilities are self-annihilating.
I think that it is perfectly possible to design a random process. The game of ‘snakes and ladders’ would be a good example. It is also possible to recognise every single permutation of such a game. We may be one such. It is a subject of considerable scientific discussion (at least at a conceptual level) as to whether any of the others actually exist or not, but the possibility of their existence must be at least entertained.
In this way, truly ‘random’ occurrences, within the constraints of the game, can be coupled to contingencies to produce outcomes. This, I guess is the ‘structuralism’ being discussed.
I have no right to speak for atheists, but good scientists always look for objections to their pet hypotheses, so I shall have a go. Much of what I have said above would be perfectly acceptable to atheists, I believe. Where they would dissent would be firstly, that the design of ‘the laws of nature’ was necessarily the work of an ‘intelligence’ and secondly, that any particular outcome is preferred over any other. That being so, then I will accept that my disagreement with them over these points is a matter of faith, not of reason.