Dear Dr. Gantz -
Thanks for your comments over my way ["Causality and Teleology"].
Reading your essay felt like a humanistic version of my own views! What follows is headline-type description of this using your own [well-crafted] words.
"Do you believe that what exists is fundamentally an expression of randomness within mathematical forms? Or do you believe in a cosmic intentionality that provides generative guidance for the emergence and evolution of our uniquely specified universe?"
I guess that I'm saying that one has both of these simultaneously - my discrete combinatorics generate a unique generative model. This is our only large-scale disagreement, I think.
"... local structure and order emerges by exporting entropy to the larger environment."
Yes. Both of our [very similar] views rest nicely on Jeremy England's argument for life's emergence via its drive to maximize entropy creation [ie. growth].
"Phillip W. Anderson ... maintains that the hierarchical structure of increasing complexity arises as a function of symmetry breaking, and the resulting whole is more than, and different from, the sum of its parts."
I claim that the mechanism of emergence is to be described by the co-boundary operation, which is the topological version of the "integration" operation in Calculus. [I've not seen this thought elsewhere.] The erection of a new 'integrated' hierarchical level is entropically driven.
"The system searches through available configurations, constrained by mathematical laws and prior history, attracted to one that achieves that goal." This is the hierarchical bubble-up / trickle-down mechanism I describe.
"Self-reflective consciousness emerges, perhaps in the synchronous coordination of quantum behavior ... ." Indeed! 'Quantum behavior' is what I call space-like computation [versus Turing's time-like ditto].
"There is an additional feature to the cascade of emergent processes - they are reciprocally interactive. Reciprocity at the component level enables the system to seek adaptive solutions. Reciprocity between component and system levels is inherent in the dynamic of emergence --- components enable the system to search, and the system attraction to pointer states drives the selection. These relations flow up and down the emergent cascade. In the emergent history of our universe, everything is connected to everything else in a limitless web of reciprocity."
Oh yes! I say that the web is made out of gravity, which is space-like, not time-like, not causal.
"Cosmic intentionality is love flowing through the universe, guiding the emergent cascade. Each prior state evolves and moves towards a higher state, one reflecting a greater degree of intention, attraction, cooperation and reciprocation." Whether the evolved state is "higher" depends though on the degree of organization it represents in its newness. Not all evolution is progress - extinction is also a possibility, but this is a detail.
"While we can observe the actions of the entity ... we cannot observe his/her/its interior state." Right. But:
"From an empirical standpoint, there is no answer. The question is undecidable." I disagree: If the observer's consciousness is time-like, yes, but if it's space-like [eg. meditative state], this *is* the interior state, and you *are* the intention! Also, re Undecideability, since my view of computation exceeds Turing's formulation, this weakens arguments from this basis.
My conclusion is that the intentionality you mention can be properly identified with entropic gravity - the tendency for all things without distinction to attract each other. My mod4 construction, with the chakra system in mind, then directly and easily identifies gravity with love.