ONT Re: Differential Logic A -- Discussion
DLOG A. Discussion Note 21
HT = Hugh Trenchard
Re: DLOG A Discussion 20. http://suo.ieee.org/ontology/msg05432.html
HT: I am wondering if by your statement "from a still more general point of view,
all three domains may be the state spaces of systems", you are suggesting that
there are a number of inherent data configurations or relations within a system
that may be said to represent or define its information content (i.e. ones not
obvious or necessarily intended).
Once you adopt the system-theoretic point of view,
then the only realities are states of systems, and
you could even say that there's really only one big
system of which everything else is either a shadow
or a subsystem.
In order to talk about the information content of a system,
you have to go back to the basic sign-theoretic situation
and ask what it means for the state of a sign system S
to convey information about an object system O
to an interpretant system I.
HT: Perhaps that's a trivial summation, but I am wondering further:
when running the grid relations you've shown through a machine
which results in a specific output, does the output inherently
carry the 3-adic relations you're showing?
In a sense the output is the entire state of the system
at any given time, or whenever somebody says "time's up".
But you can always define a projection from that state
to another range of values that you consider to be
the designated outputs.
HT: Again, trivial perhaps, but maybe this underlying
relationship could be useful as a ciphering method,
or potentially as a method for reducing the complexity
of algorithmic input (complexity here in the sense of
quantity of rules and descriptions used to represent
a specific object, set of objects, or system).
Yes, many such journeys are possible.
Did you know that you can download a copy of Ashby,
well, his book anyway, from the Cybernetica portal:
HT: Just more grist for the mill.
| I could be bounded in a nutshell
| and count myself a king of infinite space,
| were it not that I have bad dreams.
| Hamlet, 2.2.256-258
Well, I'm going to risk it anyway.