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Re: Social Science, Science, and Empirical Study by Mike Alexander 04 July 2002 02:45 UTC |
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[Luke] Your
first sentence makes it sound as if prediction is an almost subjectiv[ist]
enterprise; it sounds as if – per my own conversation with Francesco Ranci both
on and off WSN – the predictor’s ability and methologic range is very much
shaped by his/her own mental operations; and thus the basic criteria used to
make these predictions and to choose categories/criteria out of which one’s
experimentation/results is based is actually a function of the analyst’s own
mental activity in designing the experiment.
[Mike] That
wasn't my intent. I was merely saying that the prediction must carry with
it some idea of its precision so that it can be tested.
[Luke] I have my own
reservation about what you’re saying regarding prediction and exact
“certainties.” Aren’t all
the predictions we make as scientists actually probabilities? If Science has mapped a precise set of
relationships for weather and so many other kinds of phenomena on earth and in
the cosmos at large and scientists truly understand these laws, then why hasn’t
Theoretical Physics (for example) finally been able to put together a Grand
Unification Theory (GUT) from such precise knowledge?
[Mike] Yes they are all probabilitities,
but extremely high probabilities we often call certainties. The
fact that mathematical descriptions for heat and mass and energy
transport (the processes underlying weather and much else) have been formulated
doesn't mean that this has been done for all fields in physics. A GUT
hasn't been found yet because nobody has found it.
Complexity and Chaos theory are misundertood by many
people. Weather cannot be accurately predicted because of the non-linear
nature of the expressions describing transport phenomenon. Unlike linear
equaltions, non linear equaltions can "blow up". That is, a small
discrepancy at the initial condition rapidly leads to ever larger discrepancies
as time goes by. An example is prediction of the position of a billiard
ball after n ricochets off the walls of the table. Given precise
initial direction and velocity of the ball we can quite accurately predict the
path of the ball after the first ricochet. Indeed pool players routinely
do this. After several ricochets we no longer have an accurate projection
of the path of the ball, even wiht extremely accurate initial conditions.
After 20 bounces the ball could be anywhere on the table, we have absolutely no
idea where the ball will be.
Even if we had "perfect" knowledge we cannot know the
exact initial conditions of the ball because of the Heisenberg uncertainty
principle. Hence it is theoretically impossible to have any
deterministic idea where the ball will be after some number of
bounces. The best we can do is may a statistical prediction. This
despite the fact that we know the exact mathematical laws that govern
the ball's movement. The complete failure to use these exactly-known laws
to make a useful prediction is a direct result of the nonlinear nature of the
mathematical equations that describe billiard ball motion. This phenomenon
is what is known as chaos.
[Luke] The point I
was driving at in drawing my distinction was that use tests and/or better yet
“natural experiments” (of the kind mentioned in Jared Diamond’s Guns, Germs,
and Steel are really different from strict laboratory
experimentation, the experimentation and empirical methodology par
excellence.
[Mike] Not
so. In fact laboratory science is rather recent. Astronomy is one of
the oldest sciences and it is not laboratory-based. Newton's laws were
based on astronomical data and Galileo's observations of projectile
motion. The painstaking measurements of stellar positions undertaken by
Tycho Brahe and others (before the invention of the telescope) surely are
empirical data--yet involved no laboratory.
[Luke] That is, in terms of
the Stock Market examples we’ve been tossing around, there’s the level at which
we’re using economic analytical tools (like Elliott Waves and Japanese
Candlesticks) and the patterning of the Market itself to make detailed
probability-predictions [and looking for specific results that match our
particularized projection criteria].
That is the first level of empirical meaning I mentioned.
[Mike] Elliot waves and Japanese
Candlesticks aren't economic analytical tools. They belong to what is
called "technical analysis" which is a kind of stock market astrology.
Some market analysts employ astrology.
[Luke] The
second meaning of “empirical” would involve our consideration of the systematic
Market process itself (and all aspects of its specified detail) in its natural
state regardless of our observations/predictions as analysts.
[Mike] I
don't understand this. What is the "systematic Market process itself" and
how is this any different (in a useful sense to people who actually particpate
in markets) from our observations, predictions and actions (i.e. to buy or
sell). The market IS the observations, predictions (beliefs about
future movements) and the actions taken by the people involved in the
market.
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