From: Scott Roberts (jse885@cox.net)
Date: Tue Jul 26 2005 - 19:59:34 BST
Sam et al,
Alas, it is fruitless for me to take part in this constructively, since it
all presupposes the MOQ view of intellect which I find untenable. I just
want to make one comment.
Sam said:
A worked example would doubtless help. Why don't we take a mathematical
equation (where it's indisputable that we have an intellectual pattern).
Scott:
It won't work with a single mathematical equation. One needs to look at the
whole system in which the equation fits.
Sam said:
How does the intellectual pattern 'E=MC²' respond to DQ? How did 'E=MC²' win
out over, say, 'E=MC³'? Where were the preferences displayed, and how were
they displayed? How does the value of one over the other express itself?
Scott:
e=mc^2 is a derived equation. What matters are the assumptions made by
Einstein from which the equation is derivable. The key assumption was that
light travels at the same speed for all observers, regardless of the motion
of the observers, whch denied Galilean relativity. The process by which
e=mc^2 was derived is the same process (mathematical logic) that has been
used since Euclid, so the derivation shows nothing new. It is the
formulation of assumptions that needs to be considered, the 'Aha!' moments
that Poincare has pointed to, those moments that Peirce calls abduction, or
hypothesis formulation, when one set of assumptions is replaced by another.
However, the really big question, as I see it, is whether one can examine
examples from mathematics or physics, and use them for understanding
intellect in general, in particular in philosophy and politics. The reason
the better mathematical structures can be chosen is that the assumptions are
clear and all terms are precise. That is not the case outside of mathematics
or mathematically based science.
- Scott:
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