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Re: Social Science, Science, and Empirical Study by Bruce R. McFarling 19 July 2002 06:42 UTC |
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At 16:45 13/07/02 -0700, Luke Rondinaro wrote: >anyone on the List have a good well-conceived idea of how >“Fundamental Indeterminacy” (+ chaos and complexity) would >work in regards to human behavior and the study of the social >sciences? Well conceived? Well, who knows, but following the relational biologist Rosen ... Suppose that societies are self-reproducing things. In formal terms, what form does that take? Look at the category theory: f:A->B This is not enough yet, since self-reproducing is one thing acting on an acting thing. f:A->B g:B->C This is not enough yet, since self-reproducing is SELF reproducing, not other producing. f:A->(f:A->(f:A->...))) Is SELF reproducing but appears to be an infinite regress. The only way to avoid an infinite regress is to have a catagorical shift. We haven't defined any of our A, B, or C's: what if they are categories, which is a domain, a range, and a mapping of relations between the two. f:A->(g:B->C) IF f is a subset of C ... then to put it in biological terms, f takes the material input A, and creates a process that takes a material input B, and creates results C, including the process f. g:B->C is metabolism, and f:A->(g:B->C) is reproduction, and it is SELF reproduction if, in some sense, "f" is inside the "C". Now, suppose that these are real world processes, and therefore subject to physical indeterminacy. The metabolism "g" is not due to an idealisation of "f", but rather due to a REALISATION of "f", and the succeeding realisations of "f" will be due to the realisation of the metabolism "g". ANY DEPARTURE from perfect reproduction whatsoever implies an evolutionary process, and the question is HOW the evolutionary process proceeds, not WHETHER it does. We can ask what society is if it is NOT a self-reproducing system. We can ask how society evolves if it IS a self-reproducing system. But we cannot model a non-evolving self-reproducing social system ... such a system requires at its foundation perfect reproduction, which requires fully determinate biological systems, and under the biological, physical systems. Virtually, Bruce McFarling, Newcastle, NSW ecbm@cc.newcastle.edu.au
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