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Hmmm, it appears that both Torkel and Calvin continue to
equate scientific rigor with computability and precise mathematical
(formal) logic. This continues to be the case, in spite of plenty of
evidence that: A.) The property of being computable represents an
incomplete (and therefore erroneous) definition of the terms "logic" and
"scientific rigor"; and B.) Plenty of evidence has been presented both here on
the list including detailed suggestions of where to look in two
of Robert Rosen's easily available books for far more
well-documented evidence. The conclusion that begins to suggest itself to
me, in the face of these facts, is that neither of you are really
interested in understanding the work. So, perhaps you can help me with something
that I have already asked the list subscribership to see if they could attempt:
Let's see if you can come up with any real way to "debunk" the
scientific conclusions my father arrived at.
What I'm after is a (relatively) quick way to solve, once and for
all, the arguments over whether or not these theories are indeed
representing aspects of the universe that are not included in current
scientific capability. I trust you both will agree that if Robert
Rosen is right about that, it behooves humanity to know it-- and begin work
developing new scientific capability that will rectify the situation? And, if it
is possible to prove that he was not correct in his conclusions, then let's do
so and save ourselves a whole lot of breath.
What do you say? Are you game?
Judith
----- Original Message -----
Sent: Thursday, August 11, 2005 1:02
AM
Subject: Re: [ROSEN] Impredicativity in
Rosennean parlance
On 8/10/05, Judith Rosen <***>
wrote:
> CO wrote: it seems that some of Rosen's claims could
in > fact be stated more clearly and precisely in terms of computability
> and related notions as they are understood at large.
However, > as far as I can see, this has not yet been done.
> > Ah, indeed it has! Just not in the snippet I
posted. For example, look at > the contents pages of "Life, Itself: A
Comprehensive Inquiry Into the > Nature, Origin, and Fabrication of
Life".
I have looked at that book fairly carefully and it doesn't see
to do what I am asking for at all, as far as I can tell. For
starters, the crucial relation of modelling is not defined very
rigorously. Perhaps if I look at "Anticipatory Systems" it would
help, and I intend to do that.
> there is. But, as I described in my
earlier post to Torkel on causal loops, > there are some aspects of
systems which cannot be analyzed in a reductionist > mode without
destroying too much information.
I am not a reductionist myself (in the
sense that I understand that term in this context) but apparently
for different reasons (reasons related to the work done in philosophy of
mind on mental causation), but I don't understand what this actually
means, and thus, a fortiori, why it is true.
I might guess that it
simply follows from some kind of statement such as the
following:
"Any system which is closed to efficient causation has no
maximal model, and further, systems closed to efficient
causation are possible".
This or something like it appears to be one
of Rosen's important results. Since it appears to be a purely conceptual
result, a result of pure thought, it should be possible to formalize it and
prove it as a theorem.
At the very least, it should be not
too difficult to state it rigorously by formally defining all the terms
in it, so at least it is amenable to proof. If no one else has
done this anywhere carefully in a perspicuous and efficient manner, it is
something I will try doing myself.
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