... emergentism with the emergent not deducible or calculable from the components ...
But how can you ever determine this.
I asked you previously, but you didn't answer.
Do you mean:
1. that the emergent properties have not been deduced from understanding of the properties of the components and their interactions, or
2. that the the emergent properties can be deduced from understanding of the properties of the components and their interactions
If 1 then this is merely an argument from ignorance - so if our knowledge and simulation power increases we may be able to determine this link. So in effect something is either emergent or not emergent based on our ignorance. So that makes no sense, so perhaps it is:
2 - but in which case this is unprovable in a Popper black swan sense - the only way we could determine whether the emergent properties can be deduced from understanding of the properties of the components and their interactions it to show that they can. If you have not done some it proves nothing - you may be able to do so at some point in the future, the challenge being lack of current knowledge and/or simulation power. So this means that nothing could ever be considered emergent as either it has been deduced (so not emergent) or has not yet been deduced, but you cannot be sure that it cannot be (in which case you cannot be sure it is emergent). This is errant non-sense.
Now actually I see where this is going - it is yet another of those circular - look we've proved god exists, supernatural exists. Effectively that the only way we can say something is emergent if emergent means it cannot be deduced is to conclude that the relationships and interactions are unknowable and therefore sit outside the material/natural realm - wizzz, must be supernatural. And because there are emergent entities therefore there must be supernatural stuff. Problem is that you are using a circular argument - the only way you can conclude that there are emergent entities by this non-sense definition is to presume the supernatural, and the 'proof' of the supernatural is the presence of emergent entities. Classic non-sense circular argument.