I have written on this blog, over
the years, a fair bit about models. This has included their functions,
purposes, limitations and uses, along with more obscure subjects such as the
ethics of their use and the ability of a single model to represent reality, at
least in a fairly limited manner. In all this, however, I have left the
question of why we need models, or why we have models, rather to one side.
Now, of course, models pop up in
all sorts of places in life. For example, science and engineering could hardly
progress without models, at least of a certain kind. To some extent, a
scientific model is a paradigm of what a model should be. It is specific, it
give predictive answers for given input. Its range of applicability can even be
defined, so that it is known when a specific model might not give reliable
answers. And, of course, the model can be tested against the real world, to see
if the assumptions and approximations made in constructing it are valid.
Other forms of model also appear in
life, however. For example, in social sciences there is a secularization model,
or approach, which makes certain assumptions about the impact of scientific and
technological advances on society, and the disenchantment thereof. This is not,
of course, a mathematical model, but it allows a certain broad based interpretation
of evidence to be placed within a particular schema. Nor is the secularisation
model predictive, except in the widest sense that what has happened in the past
is likely to continue into the future.
The advantage of such models is
that they can, at least, be argued over. The secularisation model is not, now,
widely accepted to apply (as religion has made a comeback in culture, society
and politics) but it still gives an interpretation of evidence, even though
that interpretation is not now widely accepted.
In history, too, models are used,
although they are not, perhaps, widely acknowledged as such. For example, some
of the arguments about the origins of the English Civil War rely on models,
such as the rise of the gentry, the decline of the gentry, the impossibility of
governing three disparate kingdoms, the problems of having a king like Charles
I, and so on. Each of these is, or implies, a certain model or set of models of
the natures of the societies and cultures of the time, and the fact that they
do not agree, or contradict each other, implies that here are interesting
questions to tackle.
A model, then, in the social
sciences or arts and humanities is not, strictly speaking, then, a scientific
model, but an interpretative tool of… well, what?
The point about models is that
they allow us to focus on certain bits of a system. By assumption, some bits
are believed to be important to the topic in hand, and some bits are not. Thus,
in writing say, a set of wargame rules for a given period, we might argue that
the interaction of pikemen and musketeers is vital, and focus our modelling
effort on that aspect. We would then
evolve a set of tactical rules which, if we had done our job well, would model
the musketeers occasionally running away and hiding under the lowered pikes of
the central unit block.
Now, of course, this model could
well be challenged. Evidence for musketeers actually behaving in this manner
might be deemed to be weak, and other models, such as disciplined musketeers
discharging a salvo at fifty paces and seeing off the horse, could be put
forward. But this is, more or less, the function of the model in the first
place. The original model provokes, through questioning of its function and
assumptions, a counter model to be developed.
This is all a bit Hegelian, of
course. We have a thesis, followed by an antithesis, and we look forwards to
some sort of synthesis, at which point the whole cycle starts again, with our
new synthesis model provoking something different. But the point is that this
progress only appears as a result of working with the particular models
involved.
There is, then, something about
the model and its use which provokes the human mind into action. We study the
models, even if they are, in the case of history, implied ones. We examine
their assumptions and try to question them, bearing in mind that the
assumptions made may either be very close to our own if we come from the same
culture and society, or very different. We can then try to scan the evidence
put forward for the correct functioning of the model. How many gentry families
were in decline in the decades before 1640? How many were prospering? And so
on.
By thus working with the model,
its outcomes and evidences, we can start to draw our own conclusions. The model
provides us with mental stimulation, with questions to ask about understanding of
the model and what it is trying to represent. If you have ever tried to explain
something to someone, eventually you have to leave it up to the person in
question. Eventually we run out of explanations, and the person has to work it
out for themselves. Hopefully, our explanations will have been sufficiently
good for them to exclaim ‘Ah, now I’ve got it’. This is the moment of insight,
the point at which the model discloses something about the world which the mind
can grasp.
The point, therefore, about
models is that they give the mind a simplified universe to examine, in which
disclosures about what is (or was) ‘really’ going on occur. If a wargame is
true to some sort of reality, then it should be able to provoke some sort of
disclosure to the participants. I think this would work even for a
non-historical scenario. Medieval French knights could well be swamped by Incas
in a wargame, which might disclose to the wargamers that medieval French
knights needed proper support, and were not a super-weapon in and of
themselves.
And, of course, if that happens,
we might have learned something to feed back into our rules.
Hmm, I suppose, in effect, it's not the model's fault if it is based on a dodgy premise. It might still function completely effectively and tell us how, say, Montrose' army WOULD have fought if it HAD been composed of supercharged highlanders and gentlemen archers?
ReplyDeleteIt tests a theory for practicality, perhaps, but won't tell us if it's accurate. A bit like the spell check on the computer - it will tell you if the word works, but not whether it's the right word or not.
Yes, and, I fear, that we could get ourselves into a vicious circle: we base our rules on 'reality', but that reality is an interpretation, against which we validate the rules.
DeleteOr oops, hello tail, I'm enjoying chasing you.
I think it might be a bit about making our assumptions explicit, rather than implied. For example, was Alexander really a superhuman god, or simply lucky to have inherited a good army and to die before completely destroying it?
That's the sort of thing I was thinking. If an army goes out and only ever fights one battle, and it wins, will we automatically model it as an invincible army?
ReplyDeleteI'm not sure. We tend to work with troop types rather than with whole armies; hence the Montrose highlander effect, at least until you read a bit more carefully.
DeleteI do think that there is a circular validation problem here; i'm not sure if it is vicious or not.