Edwina, List:

I appreciate the explanation, but the struggle that I continue to have with
this approach is that in my mind, mathematical functions are *static*, even
when used to model phenomena that are *dynamic*.  The equation f(x)=y
entails that given the same input, the function will *always *produce the
same output; i.e., the transformation is *deterministic*, rather than
generative.  For example, if f(x)=y=2x^2-3x+1, and x=3, then (necessarily)
y=10; no *other *result is *ever *possible.  This is true no matter how
complex and non-linear the equation for f(x) might be; and what would ever
prompt that equation *itself *to evolve over time, rather than remaining
the same?

I agree that the function of a Sign is not simply moving data from one site
to another, but it is also not transforming data into information.  Rather,
in Peirce's words, a Sign is "a Medium for the communication of a Form,"
such that "in respect to the Form communicated, the Sign produces upon the
Interpretant an effect similar to that which the Object itself would under
favorable circumstances" (EP 2:544n22; 1906).  In other words, a Sign does
not take something from its Object (input) and turn it into something
different (output) that *is *its Interpretant--it *represents *or *stands
for* its Object *to* its Interpretant; i.e., it *mediates between* its
Object and its Interpretant.

Regards,

Jon Alan Schmidt - Olathe, Kansas, USA
Professional Engineer, Amateur Philosopher, Lutheran Layman
www.LinkedIn.com/in/JonAlanSchmidt - twitter.com/JonAlanSchmidt

On Fri, Apr 19, 2019 at 8:29 AM Edwina Taborsky <[email protected]> wrote:

> Helmut, list
>
> I think it's right to use the term 'function' with regard to the
> semiosic triadic process. The 'function' shows that the mediative process
> of the Representamen is not a static action of passively moving raw data,
> but a generalizing act that actually changes the raw data. This also means
> that the rules embodied within the Representamen can change; they can
> evolve and adapt.
>
> Without such an acknowledgement that the mediative process of the Semiosic
> triad is a generative rather than static action, then, adaptation and
> evolution - whether it be of language or of biological organisms, would be
> impossible.
>
> Therefore your knife, as an object, can have multiple Interpretants, via
> the mediative functional relation of the Representamen. That object is able
> to function within a diversity of interactions and this enables diversity
> of existence and thought.
>
> Biologically, an object with only ONE Interpretant is the least capable of
> preserving matter/energy on this planet. That is, an object with multiple
> Interpretants contributes to a rich and diverse domain. A fish, as a
> material object, has the Interpretant result of producing many more fish.
> It also has the Interpretant result of eating the plankton and bacteria and
> cleaning the water. And also, of providing food for the predator objects
> that eat it.
>
> A meadow, which has a huge number of biological objects networked with
> each other is far richer and more powerful in maintaining matter - than a
> peat bog with its few limited species.
>
> The point of defining the semiosic triadic process as a function, is to
> explain, in a non-verbal example, how this process is not one that simply
> moves data from one site to another site [O->R->I] but actually, at the
> nodal site of the Representamen, actually changes this raw data into
> information by adding, changing, transforming it within its stored laws.
> That is a powerful process.
>
> So- I will maintain my view that explaining the semiosic triad as a
> function of f[x]=y is a valid examination.
>
> Edwina
>
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