Mathematica is built on nothing more conceptually complex than relays, and 
relays (or their modern refinements) work on the principles of physics.  I 
don’t see why you are making the distinction.

From: Friam [mailto:friam-boun...@redfish.com] On Behalf Of Russ Abbott
Sent: Sunday, May 28, 2017 1:59 PM
To: FRIAM <friam@redfish.com>
Subject: Re: [FRIAM] Any non-biological complex systems?

I'm wondering whether the message below got lost. Our did no one think it worth 
mentioning?

On May 28, 2017 6:35 PM, "Russ Abbott" 
<russ.abb...@gmail.com<mailto:russ.abb...@gmail.com>> wrote:
Greetings from Jerusalem! Quite an amazing city. Never been here before. Quite 
an amazing discussion too.

My interest, I think, is not so much in defining what we (want to) mean by a 
complex system buy in exploring the implications of systems consisting of 
agents as described earlier. The ability to process symbols seems to me to make 
all the difference in the world.

Physical entities capable of processing symbols seem to me to live it two 
worlds: the physical and the symbolic. (The original question was prompted by 
the notion that complexity requires that sort of dual worldness. But that's not 
my core concern. You can probably get pretty far wrt complexity in a world that 
includes switches, where by a switch I mean one energy flow that controls 
another, a light switch for example. So systems of multiple energy flows where 
one controls another like weather and geology are good candidates.)

Symbolic processing, including computers, is a step beyond switches. Half a 
century ago Newell and Simon defined computers as physical symbol machines. We 
and many biological organisms are  physical symbol machines also. I think 
that's an important way to look at it.

The thing about physical symbol machines is that the rules of causation they 
follow are more complex than those of physics.

That's enough rambling for now on my cell phone.

On May 28, 2017 6:04 PM, "Stephen Guerin" 
<stephen.gue...@simtable.com<mailto:stephen.gue...@simtable.com>> wrote:
Marcos writes;
Depending on which J values are zero, there can one phase space or many 
independent phase spaces depending on how many disconnected components there 
are.

I agree with a small tweak.

Yes, the subgraphs would have their own independent phase spaces (especially if 
topologies were dissimilar). Though, I would not call the independent subgraphs 
components as they are no longer part of a larger whole.  If the subgraphs are 
independent and not interacting you cease to have one system. You have multiple 
independent systems each with their own phase spaces.

I'll wrap with my position:

  *   I gave three examples of non-biological complex systems based on Russ's 
initial question
  *   Russ's additional criteria later in the thread are similar to 
distinguishing criteria for complex living systems vs complex non-living 
systems. This is an area of research I'm fascinated with and I encourage this 
line of discussion
  *   If I need to use Russ's criteria, I can't think of a non-biological 
example. To me it's like asking for a non-biological example of a living system.
  *   I disagree with Russ's claim that all complex systems must satisfy his 
criteria to be a complex system. It is too limiting.

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