Kolmogorov'scomplexity, for example, is the length of the shortest
description in "universal" description language.
I beleive the related topics are the Church thesis,
Turing machine, Godel's theorem.
Any system (theorem) can
be "universal" ("system of systems", that is able to emulate,
simulate, modelate, imitate so on the other systems) or not universal
(just system of elements)
Such parameter (the level of universality)
could be defined (calculated) for any formal system
Godel's system has to include arifmetics,
Turing's machine - the proper operations, so on
----- Original Message -----
Sent: Tuesday, February 07, 2012 12:07
PM
Subject: Re:
[ontology-summit][BigSystemsandSystemsEngineering]Systemofsystems
I still wonder if we have developed the
distinction criteria for the complex systems and the systems of
systems.
----- Original Message -----
Sent: Friday, February 03, 2012 9:56
PM
Subject: Re:
[ontology-summit][BigSystemsandSystemsEngineering]Systemofsystems
Yuriy:
Because he name of this track is Big Systems
and Systems Engineering this topic fits under the topic of mathematics (a
very big system).
However, engineering in general is a bit different
and systems engineering is even more different.
Engineering is the
act of applying mathematics and scientific principles to the solution of
practical problems.
So, math is a tool used by engineers to solve
problems.
Then there are systems science and metasystems methodology
that set the context for the application of systems
engineering.
There is little or no magic involved in these well
defined approaches and processes for designing, developing, deploying and
operating large-scale systems.
However, as Arthur C. Clarke detailed
in his three laws, "Any sufficiently advanced technology is
indistinguishable from magic."
In my mind we are discussing a very
advanced technology that integrates large stores of data, information and
technology.
It is not magic.
Take care and have
fun,
Joe
2012/2/3 Yuriy Milov <qdone@xxxxxxxxxx>
Hi Joe,
If a () system of () systems
exists then a (very (simple)) system is still a system of
(very (very (simple))) system.
It's amaizing to
know a very simple system which demonstrates very complex
behavior. This is a fantastic gift. We do
not deserv it - but we have it! :)
We could think that the natural numbers
(1,2,3,4,5,6,7.. so on) is simple. Are we sure?
Let's choose a natural number n1 (free,
spontaneously, without any reasons - just any of natural
numbers) and then let's choose again any natural number n2 (free,
spontaneously, without any reasons - just any of natural
numbers).
The more freedom of choice we have - the more
chances that n2>n1
Absolute freedom of choice makes n2>n1
guaranteed
The reason of this is that there is no a biggest
natural number (that is also an amazing fact, by the way)
We (people) are finite (in space and
time) pretty simple entities. How can we understand infinity?
The answer is - because ae are able to play with
a freedom of choice - thanks for the great gift - the natural
numbers :)
The
logistic equations and cellular automata are magic wands whaich transform
complex system of systems in a simple set 1,2,3 and so on
:)
Yuri
----- Original Message -----
Sent: Friday, February 03, 2012
3:29 AM
Subject: Re: [ontology-summit]
[BigSystemsandSystemsEngineering]Systemofsystems
The logistic equation is a math model of the behavior of
a living system. A very simple system can demonstrate very
complex behavior. In my view this is another example of general
systems theory (GST) where a specific branch of science was generalized
into mathematics and applied in many places. However, this is
behavior of a simple system, not a system of systems or an industrial
system. Have fun, Joe
On Thu, Feb 2, 2012 at 1:49 PM, Yuriy Milov <qdone@xxxxxxxxxx> wrote:
Hi Jack,
I think the metod is to follow the
cascade of bifurcation which has the universal mesure (a sort of
the delta number which can be got
from experiment/experience)
The magics here is our ability
to distinguish the related and unrelated events - where the
bifurcated branchs (splitted paths) belongs one tree (one
way)
Sorry if it is too vague methafora - I do some urgent job
right now
Yuri
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