----- Original Message ----
Vladimir Nesov [EMAIL PROTECTED] said:
In the case of symbol interaction,
initial conditions (rules) are unknown and results are discontinuous,
which requires much methodical enumeration to find the rules that give
required global behavior, no clever tricks work.
Vladimir Nesov
----------------
This is interesting although I had to interpret your comments a little bit.
Most symbolic interactions are not numerically commensurate or 'miscible' (so
to speak) so they can require a great many methodical operations in order to
understand their 'behaviors' at a relatively more global behavior. However, I
think this is a problem that can be dealt with. For one thing, many problems
can be generalized through various associative methods and that is a trick that
does work up to a point. I suspect that we will eventually discover more
sophisticated ways to mix a variety of methods of generalization so that even
when the combination of data references, reasons, correlations and knowledge of
other relations does not produce an easily understandable object of reference,
simplifications of the object can be formed using approximations such as
approximate correlations. But I think your insight that since interactive
symbolic references are not necessarily
'continuous' in some way they may require more elaborate methodologies to
understand them is important.
Jim Bromer
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agi
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