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Kurt, What a helpful and insightful post. Thank you. For my own claa model itself is simply a mechanism for imposing a working order upon reality in order to manipulate that reality in some wayrification:-
with evolutionary systems, there are typically variables that can be maddeningly difficult to qualify, let alone quantify, in part because phase transitions in such systems are seldom discrete The emphasis you are making is on a distinction between the linear and non-linear. How ever some concepts are intrinsically difficult to delimit (at what point in cloud cover are we justified in saying it is cloudy?)
Whereas others we would apply all round, for instance water to an atom, molecule, the solid, liquid and gas. Concept use per se, and so certain forms of classification, does not seem to always hinge on the linear/non-linear distinction.
Modeling [this] requires a significant number of time dependent variables, and the solutions are almost always non-linear [as well]. Which, of course, is very complicated because the abstraction is not just sequence but must include a notion of time interval as a relative quantity (very difficult to establish in relation to thresholds I should think).
So here we are interested in when one thing ceases to continue to be that sort of 'thing' and starts to be another sort of 'thing'. It has undergone a transition, a non neutral translation.Â
a model itself is simply a mechanism for imposing a working order upon reality in order to manipulate that reality in some way 'working order' = enabler ([for a] individual or group of individuals) of deriving some benefit ([for a] individual or group of individuals). One could argue about this, but, ultimately, I would say it is always a group of individuals.
'benefit': this is the meatier and more difficult notion. However, with digital convergence, increasingly each of these models is increasingly describing the same thing in different terms and dimensions. My primary goal is to transform these extant models into a more common one [sic] An example of the more general problem of translation. Taking this altogether, when do we know that two concepts are distinct, when they overlap and when they are coincident? Identifying and modelling tipping points in the general case is very difficult. I wouldn't attempt it in my field*. But perhaps I should give it consideration?
Moreover, our judgements in this regard would depend on the purposes (the 'working order' in terms of benefit, again particularly difficult in my field) we aim for.
*I am a psychoanalyst with an interest in (apart from ontology modelling and semantic web + programming -:) ) different approaches to therapy, both those with which I broadly agree and those I do not. Being concise about these (actually complex) issues can be very helpful to me.
Very best, Adam Saltiel  On 5 May 2013 19:49, Kurt Cagle <kurt.cagle@g...> wrote:
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