ConradDJ said:
But I think the traditional way of doing this – leaping to a “global” perspective, “seeing” the world from no point of view – fails to illuminate what’s really going on. On the contrary, I think it has a built-in tendency to objectify the world, to treat it as something that exists in itself over time. Not that this “objective” view is wrong, but I don’t think it gets to what’s fundamental in the relationship-structure of the world.
I agree that we need to move from the god's eye externalist view to what is being called "Internalism".
So for example, here is a statement by Matsuno on what he understands by this...
"Internalism has some antecedents in phenomenology, the thinking of J. J. von
Uexküll, and the autopoiesis model of Maturana and Varela. Current major thinkers include
Koichiro Matsuno, and Yukio-Pegio Gunji, Otto Rössler, and Stanley N. Salthe. Salthe’s
helpful overview of internalism1 states that internalism becomes necessary if we try to make a science which begins with the fact that we are inside, as participants in, the universe that we are studying. Internalism applies to such advanced technological situations as cosmological knowledge in the face of the finite speed of light (we cannot get outside the universe, or see it whole) and operationalism, as well as to the situation of a newborn infant trying to manage in the world."
http://stl.recherche.univ-lille3.fr/sitespersonnels/rahman/geneticspreface3.pdf
Stanley Salthe's scalar hierarchy is worth studying as it spells out the link between observer scale and event-horizon like effects.
http://www.harmeny.com/twiki/pub/Main/SaltheResearchOnline/HT_principles.pdf
Basically, to an observer at a scale that is in the middle of things, looking upwards to events of larger scale, they would eventually become so big as to fill the whole field of view and so become the unchanging static backdrop (kind of like how our universe is so big, we cannot see its curvature, or its other domains, if these exist).
Likewise, looking down in scale, things may be very dynamic and fast changing, a sea of events, but to us it becomes just a generalised blur. So again, it becomes a static constant. An event horizon. The QM realm may seethe with activity, but it looks like just a flat limit state from sufficient distance.
So this is what a fully dynamic reality looks like to an observer of intermediate scale. Even if the extremes of scale are also dynamic, they come to look static for complementary reasons.
This is a powerful metaphysical insight. But not sufficiently general I believe. I want to extend the idea to observers over all possible scales. A scalefree version of semiosis.
But it perhaps helps explain that I am taking an internalist approach. I just don't want to be stuck with observers of some particular scale. The truths of the model have to be more general than how things look from the middle of the "observer created" system.
ConradDJ said:
I tend to think of the“Peircean” approach you describe as neo-Hegelian – in that it interprets the world in terms of dynamic relationships between ideas (e.g. “form” / “substance”).
Agreed. And I use substance~form, and other traditional metaphysical dichotomies like chance~necessity, stasis~change, because they are familiar arguments. But they are not very mathematical. So they are really just a crutch along the way to the final correct language.
The mathematical terms I would use are based on the dichotomisation of scale (so local~global). And then a second one based on the dichotomisation of development (which is vague~crisp).
Scale is a mathematical notion - spatiotemporal scale would just an example of the geometric idea.
And to make the idea of vague~crisp properly mathematical, I have suggested instead we invoke symmetry. So the vague is absolute symmetry and the crisp is absolute asymmetry. We go from the wholly unbroken via some symmetry-breaking (some dichotomisation) to the wholly broken (the crisply dichotomised).
The two things then link as the crisply dichotomised is in fact dichotomised in the "directions" of the most local and the most global. Connecting us neatly to hierarchy theory - another mathematical notion.
So yes. Peirce was a metaphysician and I too find it useful to talk publicly in terms of familiar metaphysical language. Stuff we can look back 2600 years and trace the threads of thought.
But the aim is to be thoroughly modern and mathematical. The maths of scale - fractals, renormalisation group, criticality, etc - is actually all very recent stuff. Symmetry too is recent maths. But I believe that ultimately a scale dichotomy and a symmetry dichotomy will be able to capture everything we need to do systems modelling. One axis (symmetry-breaking) to measure a system's development, a second to measure its broken equilibrium (its broken scale). The synchronic and diachronic views.
This would be a huge simplification you realize. All those many metaphysical dichotomies reduced to just two properly mathematical ones - symmetry and scale.
The complication then is that this is an account of fundamental reality. The baseline description of what exists. But then we also have to be able to model complexity - things like life and mind. We build on the ground of what is fundamental, but now we are going in yet another direction.
This is why Salthe introduced a second hierarchy, the specification hierarchy. (Though he has recently attempted to mainstream his jargon by calling them the compositional and subsumptive hierarchies - a wrong move I feel).
Anyway, once you have a new systems model of simplicity, then you also have the separate exercise of extending it to be able to model stuff like the human mind. Actual intermediate scale observers. The extensions are commonsensical though - already worked out pretty much. The foundations are where the hard work has to take place.