Changes

In every situation the three kinds of system, or views of a system, are naturally related to each other through the concept of a sign relation.  Applied in their turn, sign relations contain within themselves the germ of a particular idea, that no system can be called complete until it has the means to reflect on its own nature, at least in some measure.  Thus, by integrating the three senses of the word ''system'' within the notion of a sign relation, I am trying to make it as easy as possible to move around in a space of apparently indispensable perspectives.  To wit, regarding sign relations as formal objects in and of themselves, an intelligent agent needs the capacities:  (1) to reflect on the objective forms of their phenomenal appearances, and (2) to participate in the active forms of their interpretive conduct.  Further, an agent needs the flexibility to take up each of these stances toward sign relations at will, reflecting on them or joining in them as the situation demands.

In every situation the three kinds of system, or views of a system, are naturally related to each other through the concept of a sign relation.  Applied in their turn, sign relations contain within themselves the germ of a particular idea, that no system can be called complete until it has the means to reflect on its own nature, at least in some measure.  Thus, by integrating the three senses of the word ''system'' within the notion of a sign relation, I am trying to make it as easy as possible to move around in a space of apparently indispensable perspectives.  To wit, regarding sign relations as formal objects in and of themselves, an intelligent agent needs the capacities:  (1) to reflect on the objective forms of their phenomenal appearances, and (2) to participate in the active forms of their interpretive conduct.  Further, an agent needs the flexibility to take up each of these stances toward sign relations at will, reflecting on them or joining in them as the situation demands.

I close this section by discussing the relationship among the three views of systems that are relevant to the example of <math>\text{A}\!</math> and <math>\text{B}.\!</math>

I close this section by discussing the relationship among the three views of systems that are relevant to the example of A and B.

How do these three perspectives bear on the example of A and B?

[Variant] How do these three perspectives bear on the example of <math>\text{A}\!</math> and <math>\text{B}\!</math>?

In order to show how these three perspectives bear on the present inquiry, I will now discuss the relationship they exhibit in the example of A and B.

[Variant] In order to show how these three perspectives bear on the present inquiry, I will now discuss the relationship they exhibit in the example of <math>\text{A}\!</math> and <math>\text{B}.\!</math>

In the present example, concerned with the form of communication that takes place between the interpreters A and B, the topic of interest is not the type of dynamics that would change one of the original objects, A or B, into the other.  Thus, the object system is nothing more than the object domain O = {A, B} shared between the sign relations A and B.  In this case, where the OS reduces to an abstract set, falling under the action of a trivial dynamics, one says that the OS is "stable" or "static".  In more developed examples, when the dynamics at the level of the OS becomes more interesting, the "objects" in the OS are usually referred to as "objective configurations" or "object states".  Later examples will take on object systems that enjoy significant variations in the sequences of their objective states.

In the present example, concerned with the form of communication that takes place between the interpreters <math>\text{A}\!</math> and <math>\text{B},\!</math> the topic of interest is not the type of dynamics that would change one of the original objects, <math>\text{A}\!</math> or <math>\text{B},\!</math> into the other.  Thus, the object system is nothing more than the object domain <math>O = \{ \text{A}, \text{B} \}\!</math> shared between the sign relations <math>L(\text{A})\!</math> and <math>L(\text{B}).\!</math> In this case, where the object system reduces to an abstract set, falling under the action of a trivial dynamics, one says that the object system is ''stable'' or ''static''.  In more developed examples, when the dynamics at the level of the object system becomes more interesting, the ''objects'' in the object system are usually referred to as ''objective configurations'' or ''object states''.  Later examples will take on object systems that enjoy significant variations in the sequences of their objective states.

===6.21. Building Bridges Between Representations===

===6.21. Building Bridges Between Representations===