Changes

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<pre>

Starting from the standpoint of systems theory a sizable handicap must be  

Starting from the standpoint of systems theory a sizable handicap must be overcome in the quest to figure out:  "What's in the brain that ink may character?" and "Where is fancy bred?" (McCulloch, 1965).  If localized deposits of historical records and promissory notes are all that can be found, a considerable amount of reconstruction may be necessary to grasp the living reality of experience and purpose that underlies them still.  A distinction must be made between the analytic or functional structure of the phase space of a system and the anatomical structure of a hypothetical agent to whom these states are attributed.  The separation of a system into environment and organism and the further detection of anatomical structure within the organism depend on a direct product decomposition of the space into relatively independent components whose interactions can be treated secondarily.  But the direct product is a comparatively advanced stage of decomposition and not to be expected in every case.

overcome in the quest to figure out:  "What's in the brain that ink may  

character?" and "Where is fancy bred?" (McCulloch, 1965).  If localized deposits  

of historical records and promissory notes are all that can be found, a  

considerable amount of reconstruction may be necessary to grasp the living  

reality of experience and purpose that underlies them still.  A distinction must  

be made between the analytic or functional structure of the phase space of a  

system and the anatomical structure of a hypothetical agent to whom these states  

are attributed.  The separation of a system into environment and organism and  

the further detection of anatomical structure within the organism depend on a  

direct product decomposition of the space into relatively independent components  

whose interactions can be treated secondarily.  But the direct product is a  

comparatively advanced stage of decomposition and not to be expected in every  

case.

This point draws the chase back through the briar patch of that earlier  

This point draws the chase back through the briar patch of that earlier complexity theory, the prime decomposition or group complexity theory of finite automata and their associated formal languages or transformation semigroups (Lallement, ch. 4).  This more general study requires the use of semi-direct products (Rotman, 1984) and their ultimate extension into wreath products or cascade products, along with the corresponding notions of divisibility, factorization, or decomposition (Barr & Wells, 1990, ch. 11).  This theory seems to have reached a baroque stage of development, either too difficult to pursue with vigor, too lacking in applications, or falling short of some essential insight.  It looks like another one of those problem areas that will need to be revisited on the way to integrating AI and systems theory.

complexity theory, the prime decomposition or group complexity theory of finite  

automata and their associated formal languages or transformation semigroups  

(Lallement, ch. 4).  This more general study requires the use of semi-direct  

products (Rotman, 1984) and their ultimate extension into wreath products or  

cascade products, along with the corresponding notions of divisibility,  

factorization, or decomposition (Barr & Wells, 1990, ch. 11).  This theory seems  

to have reached a baroque stage of development, either too difficult to pursue  

with vigor, too lacking in applications, or falling short of some essential  

insight.  It looks like another one of those problem areas that will need to be  

revisited on the way to integrating AI and systems theory.

=====1.2.2.2.  Statements, Questions, Commands=====

=====1.2.2.2.  Statements, Questions, Commands=====