What is statistics? To consider: What happens when we come to say that we know the probability of a die landing on a given face is 1/6? it means that we have sufficiently many sufficiently unknown variables in the throwing of the die that are sufficiently randomly correlated with the eventual value of the desired unknown that we can regard the distribution as some kind of nondeterministic well-behaved variable?
For functions that are less well de-coupled from their variables, um, what can statistics mean? SAy, the probability of destructive storms, which is coupled with a lot of variables, say, human response to storms, which affect the parameters?
For the purposes of this paragraph, I come from a background of practical political engagement with policy on environmental issues, and combined degrees in human ecology and mathematics. I am experimenting with the idea that by stepping back from practice and considering theory I will find new ways of being practically effective. Ideas to toy with:
I’m ruminating on:
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What is
systems thinking? and why? We think about interactions with our environments in terms of systems why? To flag that they might experience
feedback dynamics? simple interactions will be embedded in wider systems dynamics?
cross-scale interactions. What is is that it seems that order is
traded up and down the hierachices of scale of interacting complex systems... the fast and loose networks of human societies are made up of individuals composed of tighly organised organs, cells and brains... free market economies are made up of tighly controlled
firms and households (?)... in the opposite direction, large manufacturing processes dominate over simple cottage industries, and human beings displace cognitively sophisticated creatures of no exploitation value to them. Actually, now I think about it, these examples demonstrate a tendency for larger-scale systems to be more ‘loose’ (whatever that means) than smaller ones, and for more complex, aggregated systmes to displace less complex ones
at the same hierarchy (in some sense) within the wider ecosystem.
Thinking about how
academic publishing includes a model of
veracity, in its peer-review and citation protocols. but it doesn’t allow error bounds, sensitivity analysis, of veracity.
How is
software development like
normal science? Or
post-normal science? Model development? Need to include model developer within model? Iterative process? Does normal science also have a process of model development, but one that home in on the bits of the world approximating linearity? What domains do these processes constrain themselves to?
agile proccesses in
Model development?
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nested rationalities - i’ve already forgotten what i meant by this, but i think it was something like what Minsky would have called
frames.
computers - why do they change things? Why isn’t information already processed like they do it?
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There’s a lot of grandiose concepts i want to play with, with a lot of rteading behind them. I need to find a question which is rich enough to fit the contraints of an honours thesis and still give me an excuse to read all those pontificatory texts.
Want a systems dynamics thing so as to maximise the benefit of having Barry Newell around and prepared to consult. (But i am interested in the transformation stage, the restructuring of a system in crisis, he seems more intent on the fairly stable intermediate stage wherein the system manufactures its crisis, but not the actual crisis itself.)
Ontology in an computational science sense, more than a foraml philosophical one. How to factor a system into objects, and why. How to refactor. What this says about the dynamics. Lakoffian notions of models. when is a factorisation defunct?
this implies questions about the purpose of dynamical systems thinking.
yeah, i like this one because it has good scope for exploring
the goal of dynamical systems modelling
the models used by agents within the systems
the cognitive process of modelling
what the evoloutionary actors that we might suppose are acting to produce meaningful factorisation
methodologies of modelling in general
what reproducibility means across non-replicatable systems (what abstractions may be said to be reproducible?)
in what sense we are aproximating when we make these models. (sensitivity analysis of fuzzy modelling?)
how the hierarchy of panarchy interact when tied across scales and regions - as in barry newell’s models where different regional effects become tied in
what sort of objects we can expect to be the subsystems and actors in different regimes.
And as a random idea
What this question shuts out that I would like to explore: Tainter et al’s “Resource Transitions and Energy Gain: Contexts of Organization” talks about the types of dynamics that are likely to donimate in different energy contexts. I’d love to have a crack at that - it seems to apprach things from the other end very nicely.
Where is the room in all this to play?
what is my (meta-)methodology for all this?
ecology has given me all these interest and insights, and it is no longer core to my research program. I feel an emptiness, where once lived my superior and snide inner ecologist.
produce a decision tree to choose granularity of objects in a mdoel for a given problem?
produce a guide to degree of aggregation in the, shall we call them, hidden markov states?
Discussion