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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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(4165 previous messages)
rshow55
- 07:45am Sep 4, 2002 EST (#
4166 of 4171)
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.
We don't agree on even very basic things about how human
reason works when it works well. Or how it sometimes fails.
How can we know that one answer is better than another?
Landauer, Dumais, and co-workers made a big contribution -
that had precedents, of course - but that made a big
difference.
Landauer T.K. and Dumais, S.T. “A
Solution to Plato’s Problem: The Latent Semantic Analysis
Theory of Acquisition, Induction, and Representation of
Knowledge” Psychological Review, v 104, n.2, 211-240,
1997 --- draft: http://lsi.argreenhouse.com/lsi/papers/PSYCHREV96.html
Even so, I'd have chosen a different title . . . something
like - "a BIG STEP toward the solution of Plato's problem . .
. "
Lchic and I are trying to clarify -- and simplify - - and
generalize some of the basic points of Landauer, Dumais, and
co-workers - and carry them further.
What's new is a clear sense of HOW VERY BIG the payoffs
with simplification usually are -- how VERY likely checked
sequences are to converge on useful (if imperfect) order. And
how VERY large the number of checks often are.
Looking hard at the statistics of induction is worthwhile.
That hard look lets us think about induction in a more
orderly, hopeful way.
I have tremendous respect for the references cited in
3936-3945 rshow55
8/23/02 6:11pm
But it seems to me that as far as human welfare goes,
lchic's rhyme, widely taught, might do as much good as
all those references put together. In part by summarizing much
of what those references teach. With an added "sense of the
odds" that hasn't been taught enough.
. Adults need secrets, lies and fictions
. To live within their contradictions
If children and adults understood that - we'd be more
humane, and solve more practical problems.
Before adults would let children learn lchic's
little rhyme -- they'd have to learn some things themselves.
rshow55
- 07:46am Sep 4, 2002 EST (#
4167 of 4171)
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.
Here's a quote I like a lot:
"Unlike deduction, which, assuming its
premises are sound, is certain, absolute, and airtight,
induction is about mere probabilities; its success depends
on how accurately you observe and over how many cases. . . .
An Incomplete Education by Judy Jones and William
Wilson Ballantine Books , NY --1987 p. 329
"MERE PROBABILITIES" - - - well, what are the odds? If
the odds in favor of a proposition are a million to one in
favor - for each of a number of steps -- and there are a lot
of steps with those odds in favor - -end to end -- odds that
multiply that's pretty good.
"Pretty good" is less than philosophical certainty -but
enough to work with.
What are the odds that we can teach practically all
students to read, and read comfortably - at much less cost
than now, and much more effectively? That matters. Those odds
look very good to me. (Remember, these "slow" kids watch
television for recreation - and that takes fancy processing.)
rshow55
- 07:50am Sep 4, 2002 EST (#
4168 of 4171)
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.
Here's a basic point.
The connection between statistics and
formal logic is crucial - and a central issue in
psychology, neural modeling, philosophy, and a lot else.
The logical connection isn't fancy.
For 2500 years, up to the present day, many millions of
educated people, consistently over many generations, have felt
that the idea of the syllogism has been a profound, welcome
clarifying discipline for thinking. So far as my knowledge
goes, few doubt or discount the importance of the syllogism.
Here's a statistical statement:
1. People are probably mortal.
2. Socrates is a person.
3. Therefore, Socrates is probably mortal.
Shift to a probability of 1, and you get the classic
syllogism form:
1A. All people are mortal.
2A. Socrates is a person.
3A. Therefore, Socrates is mortal.
The connection between statistics and logic happens here.
At this level, logic can emerge as a simple special
case of statistics.
In other cases, of course, logic stands alone.
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