Re: Systems Science • JS

Let’s stand back from the picture and see how the dimensions of syntax, semantics, and pragmatics look from a pragmatic semiotic or sign relational perspective.

is an object domain, a set of elements under view in a given discussion.  Depending on the application we might be calling it a universe of discourse, a population, a sample space, a state space, or any number of other things.

and are sets of signs related to by means of a triadic relation,   If the triadic relation satisfies a set of conditions set down in a definition of a sign relation then we say is a sign relation.

Peirce’s best definitions of a sign relation are pretty minimal in what they demand and cover a wide range of cases from barely formed to highly structured.

Let’s move on to the more structured types of sign relations forming our ultimate practical interest.

In a typical case like that, is a formal language defined by a formal grammar.

Generally speaking, we might think of as being more loosely defined in its own right but when it comes to formal investigations the so-called interpretant sign domain will also be a formal language.  Here the cases divide into two broad sorts.

•   We use this case to discuss transitions in time from one sign to the next.
•   We use this case to discuss translations from one language to another.

To be continued …

Resources

• Differential Logic • Primer
• Differential Logic • Introduction
• Differential Logic and Dynamic Systems

cc: Structural Modeling • Ontolog Forum • Laws of Form • Cybernetics