It's Elemental

Tag: Constancy

  • Chaos theory and fractals: 2/4

    Chaos theory and fractals: 2/4

    2. Does the fractal model also work for dynamic, fluid or changing shapes?

    Yes, in fact this is it’s most ‘natural home’ I think.  The reason is that fractals are about processes, not things, and processes are just that: descriptions of changes, not of things, and changes have a way of, well, being DIFFERENT the next time you look at them.  So there are ‘orders’ or ‘levels’ of change, described by the number of levels of description required to get to the point where the pattern is invariant.

    Your blood is constantly changing (systole, diastole), at this level of description there is no constant, because your blood pressure is constantly changing (lucky for us, or we’d be dead!).  But at a higher level of description you get a pattern (high pressure, then lower pressure), that is invariant. You don’t get a systole and then another systole, or a succession of diastoles; they alternate.  But this alternation is not constant either!  The extent of the systole/diastole is ALSO constantly varying (also lucky for us, because this change, linked to what is known as ‘heart rate variability’, is strongly correlated with heart health), so it requires ANOTHER level of description to see how that is changing… and so on.  At each level something ‘stays the same’ while other things ‘constantly change’.  When we talk about change and constancy we have to be careful because we can never fully isolate one from the other; they are completely intertwined ‘all the way up and all the way down’.

  • Concerning functionalism

    I have this feeling that appeals to functional equivalence (or even similarity) are somehow, well, disrespectful, or at least intrinsically misleading.  Functional appeals ‘work’ because they abstract very specific relations from an otherwise fully real and completely embedded situation, and show how regardless of how those relations come about, if they do, then for the purposes of our inquiry, we are satisfied of their equivalence.  In other words, if I want my taxes done, I don’t care whether it is done by a computer, a certified tax accountant, or a 5-year old prodigy, as long as I pay the same amount and get the same results.  

    My problem with functionalism (in all its forms, not just with respect to functional theories of the mind), is that function accounts necessarily reject aspects of a whole system which,given a different approach, would render any initial functional consideration of equivalence not equivalent.  

    In other words, given the example above, although considered solely and specifically for the very restricted purpose of ‘having my taxes done’, they three systems are functionally equivalent, the computer, the tax accountant, and the 5-year old are equivalent only in a functional sense.  By being only functionally equivalent, and only in this very specific situation and for a very specific purpose, we see that a certain violence is being done with respect to the constancy of the respective wholes under (or rather not under) consideration.  There are secondary, tertiary, and n-iary non-trivial effects consequent in each case that are different.   

    When seen as complex, relational wholes with inextricable and unique qualitative embeddedness in a multilayered and recursively evolving world dialogue, the functional relations identified by functional appeals are revealed as non-generalizable reflections of some particular set of distinctions which, if they were different, would necessitate different functional relations.  

    More simply, functionalism has no ontology and ignores epistemology.  

    This is not to say that appeals to functionalism are to be avoided.  On the contrary, what makes functional appeals so powerful is precisely their ability to ignore everything that is determined to be unimportant for a given system in order to reveal some higher-order similarity.  The problem arises in that functionalist explanations are not very good explanations, because they always avoid asking the question “Who?”  That is, who is making the determination concerning the particular functional relation to be considered in a specific circumstance?  There is always someone who must initially decide – upon a basis not explicable from within a functionalist standpoint – what the criteria are for a given system to meet a particular functional definition.   

    This functional blind spot is very similar to the way in which the classic scientific method includes an aspect which is manifestly non-scientific: the hypothesis.  In giving a name to this undetermined, mysterious and non-controllable source from which all of its knowledge  comes from and returns to, the logic of science seemingly ‘co-opts’ this ‘hole’ in its otherwise orderly workings through a process of more or less complete ignorance.  Where hypotheses come from and what they consist of has nothing whatsoever to do with the scientific method, but determines every single piece of scientific knowledge it produces and the entire course of science as a whole.  Functional explanations are similar in that they ignore the source of the distinctions upon which every functional identification rests.  Science can only say that ‘given such and such a hypothesis, the following logical relations would hold’, just as functional explanations can only say that ‘given such and such a functional role, system A and system B have functional equivalence’.  But because every system is non-arbitrarily intra and interconnected, the choice of what constitutes a given function has non-arbitrary consequences that are ignored at the peril of the coherence of the very functional similarity proposed.  

    Thus functionalism is disrespectful in that it does openly include and account for the source of its functional determinants.  When functional appeals are used in a manifestly pragmatic way, I can forgive this oversight.  But when functional appeals are used as explanations, I object, because in such cases functionalism begins to overstep itself by disingenuously posing itself in an ontological persona, leading to claims such as “if a computer functions in just the same way as a human being, then it must have a mind, because this is how we explain what a mind is.’  This is ontological violence pure and simple, and basically amounts to saying that to have a mind is to function as if one had a mind.  But the hidden move here is one which necessarily already assumes – without any justification whatsoever – the particular distinctions (and not others) which account for what it means to ‘function as a mind’.   

    In other words, functional appeals are a mask for our ignorance.  They are useful because when we are in a state of ignorance, they allow us to make distinctions which ground further thinking, but they outlive their usefulness when the relations they propose are ossified at the expense of the potential – always inherent in any real system – for multiply alternative distinctions to serve as the basis for completely different relations