Re: STIA-The Natural Step LO3565

JOHNWFIELD@aol.com
Wed, 1 Nov 1995 06:46:54 -0500

Replying to LO3542, in which Ron takes exception with my statement that:

"Prose is incompetent to portray nonlinear logic structures (the type
required to understand patterns of complexity"),

It's very clear that we are not talking about the same thing.

In regard to other matters, I do not know of any prose that ever existed
without an agent, although I would be willing to consider The Ten
Commandments.

A logic structure, formally speaking, is a pattern consisting of a digraph
which, itself, is isomorphic to a set of equations in formal logic, which
also is isomorphic to a collection of expressions involving one of the
several varieties of set theory.

The underlying mathematics, and some aspects of the interpretation thereof
are found in the following chapters of my 1976 book called SOCIETAL
SYSTEMS: PLANNING, POLICY, AND COMPLEXITY. (I sometimes wish Peter Senge
was familiar with this book, since he knows how to get books sold, and
maybe could have helped with that one.):

Ch. 7, "Complexity and Structure"
Ch. 8, "Boolean Algebra, Sets, and Binary Relations"
Ch. 9, "Binary Matrices and Matrix Models"
Ch. 10, "Digraphs, Digraph Maps, and Digraph Models"
Ch. 11, "Structure and Complexity"

I wouldn't belabor the point, except that there are literally thousands of
such nonlinear logic structures in existence, and the vast majority of
them have been developed with computer assistance, using the fundamental
knowledge expressed in the five chapters mentioned above, as translated
into software.

If anyone would like to see one or more of them, in an application
context, teach me how to send such a thing on this list, using aol
software, and I will be glad to do so.

--
JOHN N. WARFIELD
Johnwfield@aol.com