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Technology has always found its greatest consumer in a
nation's war and defense efforts. Since the last attempts at a
"Star Wars" defense system, has technology changed
considerably enough to make the latest Missile Defense
initiatives more successful? Can such an application of
science be successful? Is a militarized space inevitable,
necessary or impossible?
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rshow55
- 11:15am Sep 25, 2003 EST (#
13959 of 13963) Can we do a better job of finding
truth? YES. Click "rshow55" for some things Lchic and I have
done and worked for on this thread.
I'm quoting things I wrote in " Black Holes and the
Universe " now set out at http://www.mrshowalter.net/bhmath/
References to "loop tests" or "Bridgman"
occur from 602-610 and 636-649 of http://www.mrshowalter.net/bhmath/
.
Here are passages, from 602-608 that I think are of
interest - involve science - and help provide a referent to
answer the question - What have lchic and I
accomplished on the MD board and related boards?
_ - - - - - - -
"To fit the solution into a useful context, I think it is
useful to consider some of the thoughts and difficulties of
P.W. Bridgman , Nobelist in physics, arch- realist,
experimentalist extraordinaire, and a central figure in the
definition of the "engineering" view of "modeling rigor" - the
notion that right understanding of a model IS an understanding
of how to measure the quantities discussed in the model,
neither more nor less. This is a very different notion of
rigor from the one the pure mathematicians have. Both when I
think Bridgman had it right, and when I think he didn't, it
seems to me that his ideas throw an interesting light on the
questions:
How do you go from a measurable model
(territory) to a representation (map) in abstract
mathematics, and wind up with a map that represents the
territory well?
and
When you do that, how do you explain how you
did it?
Our society has never been clear, or felt clear, about
exactly how mathematical theory and experiment fit together.
Thinkers who've tried to get clear have shown that they were
not. We've used the connection between mathematized theory and
the measurable world as a magic that somehow works. There's no
hope of avoiding some philosophically unclear or arbitrary
elements in the math- reality connection. But we CAN hope to
get the grammar, the procedural steps, in the connection
between the measurable world and the mathematical abstraction
more clear than they are.
We need to get some nuts and bolts relations right.
People and institutions are conflicted about math and
experiment. Most folks seem pretty comfortable about
experiments, except that experiments are so expensive and
difficult to do.
Math is different. Everybody I know, when you push them, is
uncomfortable and conflicted about math.
. . .
There's no hope of avoiding some philosophically unclear or
arbitrary elements in the math-reality connection. There's no
hope of avoiding all fear. But we CAN . . . hope to get the
grammar, the procedural steps, in the connection between the
measurable world and the mathematical abstraction more clear
than they are.
. . .
There are practical reasons we ought to know. Maxwell
needed to know. Engineers trying to deal with COUPLED
circumstances where the couplings really matter need to know.
********************
P.W. Bridgman was a fascinating figure, because he
thought intensely about the math-reality connection, and got
to the point where he didn't see that there was a conceptual
problem of any kind. ( see http://hackensackhigh.org/~nelsonb/bridgman.html
- which lchic found today) Even so, he couldn't do a lot of
problems, and knew it. It's interesting what he saw, and what
he missed. There was a place he walked all over, that had
deeper problems than he suspected. Everybody else missed it
too.
When we measure many of the quantities that we use, the
results of our measurements aren't just numbers. They are more
complicated than that, dimensionally and in other ways.
Accomplished old men, who know they are going to die,
sometimes write books. P.W. Bridgman wrote an exceedingly
interesting one two years before he died of cancer. Whether he
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