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I think I've done a good job of showing that parsimony does, in fact, support this. I would like you to explain where my argument is wrong.
To justify insisting on a single designer you would have to show that parsimony favours assuming one designer over making no assumption about the number of designers. So where is the argument that established that.
I would add that the qualities expected for a designer of the universe and a designer for life on Earth seem sufficiently distinct that I really have to question why parsimony would prefer one entity over two. It seems to me that an entity that WOULD do both is rather less likely than two separate entities even before we consider the reasons for thinking that there are multiple designers for life on Earth.
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I'm not clear on what you mean here. Can an argument that appeals to parsimony ever conclude anything more than "a weak preference"? I wouldn't think so.
I certainly can think of cases where parsimony is stronger than it is in this case. For instance if you have two theories which adequately describe some aspect of reality, but one requires large numbers of ad hoc assumptions, parsimony could even be a compelling argument. But in this case, where it is simply choosing which unevidenced assumption to use as a default - when there is no good reason for choosing any of them, it is hard to imagine a weaker argument.
In fact parsimony makes a stronger case for NOT assuming any particular number of designers. And this is why parsimony is AGAINST the ID assumption of a single designer. If ID were a genuine scientific enterprise this assumption would not be made at this point.