Changes

It should be obvious that these conceptions represent another attempt to formalize the relationship between dynamic and symbolic approaches to intelligent systems.  Once again, the paradigms that are established for dealing with propositions at or about PODs are typically specialized to consider one or the other but seldom both.  This leads to the familiar sorts of dichotomies being imposed on a subject matter where the types are more complementary and generative than exclusive and exhaustive.  Thus, one finds methodologies in the field that can work well either from an “external” (dynamic, model-theoretic, empirical) perspective or from an “internal” (symbolic, proof-theoretic, rational) perspective, but that are seldom able to incorporate both technologies into an integrated methodology.

It should be obvious that these conceptions represent another attempt to formalize the relationship between dynamic and symbolic approaches to intelligent systems.  Once again, the paradigms that are established for dealing with propositions at or about PODs are typically specialized to consider one or the other but seldom both.  This leads to the familiar sorts of dichotomies being imposed on a subject matter where the types are more complementary and generative than exclusive and exhaustive.  Thus, one finds methodologies in the field that can work well either from an “external” (dynamic, model-theoretic, empirical) perspective or from an “internal” (symbolic, proof-theoretic, rational) perspective, but that are seldom able to incorporate both technologies into an integrated methodology.

The concept of a POD in the history of a system, with its associated division of propositions into those that apply exterior to it and those that attach interior to it, is yet another way of approaching a recurring subject, “the being and the role of the interpreter”, that the general concept of an ''objective concern'' (OC) broached at an earlier point of development in this text, is also intended to capture.  Advancing as if from a pair of complementary and convergent directions, the notion of a POD, in the way it supplies a footing to the propositions about or on it and serves to encapsulate the propositions at or in it, equips a growing SOI with all the pivotal, trophic, and vital functions that the notion of an ''objective motif'' (OM) realized in an ''interpretive moment'' (IM) is likewise meant to provide.

The concept of a POD in the history of a system, with its associated division of propositions into those that apply exterior to it and those that attach interior to it, is yet another way of approaching a recurring subject, "the being and the role of the interpreter", that the general concept of an "objective concern" (OC), broached at an earlier point of development in this text, is also intended to capture.  Advancing as if from a pair of complementary and convergent directions, the notion of a POD, in the way it supplies a footing to the propositions about or on it and serves to encapsulate the propositions at or in it, equips a growing SOI with all the pivotal, trophic, and vital functions that the notion of an "objective motif" (OM) realized in an "interpretive moment" (IM) is likewise meant to provide.

The relationship between a POD and an OM at an IM can be understood as follows.  ...

The relationship between a POD and an OM at an IM can be understood as follows.  …

In order to continue formalizing the discussion of POVs and PODs within the text that uses them, I introduce the following notations:

In order to continue formalizing the discussion of POVs and PODs within the text that uses them, I introduce the following notations: