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Are there other universes to compare to? Applying what we know can only get us so far in this case.
We do not need another universe to compare to. If the universe operates in the same manner as things that we know to be designed then I do not see why the extrapolation is unjustified to make the conclusions necessary. Now there is more to it, but that is I would say a basis.
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I missed your snowflake statement, if you made one - which criteria does it not fulfill?
specified complexity would be one. At this point I am not even arguing the merits of the criteria, but that certain criteria can and does exist. And that we use this criteria in many fields