> Personally, I'm a subjective idealist, who believes that intentionality is an irreducible aspect of reality. So no, I don't believe in physical reductionism, nor do I believe that algorithms can have intentions by way of physical reductionism.
I don't follow. If intentionality is an irreducible aspect of reality then algorithms as part of reality must also have it as realizable objects with their own irreducible aspects.
I don't think algorithms can have intentionality because algorithms are arithmetic operations implemented on digital computers and arithmetic operations, no matter how they are stacked, do not have intentions. It's a category error to attribute intentions to algorithms because if an algorithm has intentions then so must numbers and arithmetic operations of numbers. As compositions of elementary operations there must be some element in the composite with intentionality or the claim is that it is an emergent property in which case it becomes another unfounded belief in some magical quality of computers and I don't think computers have any magical qualities other than domains for digital circuits and numeric computation.