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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?
Read Debates, a new
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(7167 previous messages)
rshow55
- 02:14pm Dec 31, 2002 EST (#
7168 of 7176)
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've had this available for a long while (click "rshow55")
but I'd like to repeat it now. It is a big insight, that was
new to me - that permitted me to gel a lot of ideas - and get
a much better sense of Plato's problem. It accounted for a
lost factor of millions to billions in some of my calculations
- something I'd been looking for, and not finding, for some
while.
Here are facts and relations that I believe are MUCH
underappreciated:
If you're looking at random combinations, and only one
possibility is right, the search is BIG. For complex things -
impossibly big, without guesses to take it down to size.
How much does it help to eliminate possibilities
(correctly), in the random case?
Let's compare N! , N!/(N/2)! , and N!/(N/5!) for three
values of N . . . 10, 20, and 40
10! = 3,628,800 . . . . . . . 5! = 120 . . . . . . . . . .
. .2! = 2 20! = 2.433 x 10e18 . . . 10! = 3,628,800 . . .
. . 4! = 24 40!= 8.16 x 10e47 . . . . 20! = 2.433 x 10e18
.....12! = 4.79 x 10e8
For N= 10 . . N!/(N/2)! =3.024 x 10e4 . . N!/(N/5)! = 1.814
x 10e6 For N= 20 . . N!/(N/2)! = 6.704 x 10e11 . .
N!/(N/5)! = 2.027 x 10e16 For N= 40 . . N!/(N/2)! = 3.358
x 10e29 . . N!/(N/5)! = 1.703 x 10e39
or, looking at reciprocals
2!/10! = 5.513 x 10e-7 . . . . . . . 5!/10! = 3.307 x 10e-5
4!/20! = 4.932 x 10e-17 ....... 10!/20! = 1.492 x 10e-12
12!/40! = 5.871 x 10e-40 . . . . 20!/40! = 2.978 x 10e-30
Suppose one child is trying to read a text, and knows 80%
of the words? Suppose another child approaches the same text,
and knows 20% of the words? Who has a chance? Many other
similar questions can be asked, with similar answers.
Getting the most basic, most frequent facts and relations
straight is very important. And if people keep checking
against facts - - odds of making progress can be
surprisingly good.
All the same, for fundamental reasons, for the most common
things, progress is also very hard. The odds are overwhelming
that both individuals and cultures have made, and will make,
many mistakes - - many of them important and deeply embedded
in areas where performance is not good. That's both a
challenge and a source of hope.
When we learn basic things, the odds of our successfully
solving problems can get much better - and impossible jobs can
become possible, and sometimes even easy.
- - -
There are things that I can't do alone, and that
lunarchick and I cannot do alone, that I believe would
be worth doing.
rshow55
- 04:09pm Dec 31, 2002 EST (#
7169 of 7176)
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 going more slowly than I wish I could, for a number of
reasons. One reason is I'm not as smart as I'd like to be, nor
as well informed. Another is that I'm only as brave as I am.
Another is that I've been working to get conversations into
zones where real significant sequences could converge stably -
and I have to hesitate, for tactical reasons, to "show all my
cards" under circumstances where no one will debrief me face
to face - where I can have some chance of checking for sign
errors.
These are limitations.
But there is a reason that I don't regard as a limitation.
That reason is that things seem to me to be going very well
- and about as fast as they safely can.
I think there's a fine chance that, if things keep going -
we can cut the incidence of death and agony from war way
down from where it has been. I like the pace of
convergence, about where it is.
I think that efforts to get everybody to closure very much
faster are dangerous. People have a long way to go,
before negotiation can be as comfortable as we'd all like it
to be. The North Koreans, the Americans, and other nations
have said what they have said, and done what they've done.
We have to proceed in ways that can and will converge, step
by step. For the life of me, just now, I can't see why it
isn't possible if people just keep at it - and stay as sane
and responsible as they've been lately. Nobody has to be a
saint. Which is just as well.
Maybe I'm misled by my "relentless optimism" - but it is
how it looks to me.
lunarchick
- 06:32pm Dec 31, 2002 EST (#
7170 of 7176)
Optimism is a universal human trait ... Perhaps there's
optimism throughout Korea -
Bush feels a deal could be done here. The optimism
regarding Iraq is less strong from the Bush viewpoint.
Harder to do a deal with Iraq? For what reasons?
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