Re: Edwina Taborsky
At: http://permalink.gmane.org/gmane.science.philosophy.peirce/15166

Edwina,

Here I was following the convention of using upper case letters to denote sets of objects and lower case letters to denote objects regarded as individuals.

In particular, I was using "R" to denote a triadic relation, that is, a set of ordered triples. Incidentally, I don't use the term "representamen" if I can help it as it rarely serves any useful purpose as far as communication goes.

I'm afraid I have no way of understanding the rest of what you say below so I'll have to leave it at that.

Regards,

Jon

Edwina Taborsky wrote:
I think that bringing in other words in place of other words...doesn't change the analysis.

Jon wrote, of his diagramme, which is quite clear,

The "R" brings to mind a triadic relation R, which collateral knowledge tells me is a set of 3-tuples.

BUT - calling the triad Sign (capital S) as an 'R' (Representamen) doesn't change the format. And calling the three Relations within that triad as '3-tuples' doesn't change the format.

We agree (I think) that the semiosic sign is irreducibly triadic. The quibble seems to be, in my view, trivial, over whether to consider this irreducible triad as A Relation or, as I do, as an irreducible set of 3 Relations. And I consider that my conclusion is readily supported within the Peircean analysis - as I've provided quotations from his own analysis of each one of these 3 Relations, (and he uses the term 'relation' in his discussion, not 'interaction' as does John D) and his pointing out how they function differently. It is the FACT of their different function that leads me to use the plural of the noun 'Relations'. Yet again, no-one is arguing that any one of these 3 can function alone; they exist only within that 'irreducible triad'. But, so far, no-one seems to be focusing on the differences within these three - and why one must acknowledge their differences; the focus seems only to be one whether to call them: a Relation or an irreducible set of 3 Relations.

And moving into the fallacies of ad hominem (you are unable or unwilling to..) or ad populum (everyone else thinks like me...) doesn't deal with this issue.

The question, I think, isn't so much on Relation vs Relations, but on the nature of the Relation. And I'll continue to use this term as used by Peirce, rather than 'tuple'. Is it a dyad? I'm saying' no', first, because the perimeters of the interaction are not between existential individual entities and second, because the semiosic process is triadic and the single Relations do not exist on their own. Is a single Relation a dyad? No, again, because the perimeters of each Relation are part of the whole triadic interaction.

Certainly, semiosis takes place, as a triadic whole, between two existential units - whether it be one cell and another cell. What makes this interaction between, eg, an external Dynamic Object or even an Internal Object ..and the habits of the Representamen...a Relation? The fact that it can be in any of the three categorical modes; that moves it from a mere mechanical interaction to a Relation. Same with the other two processes of the semiosic triad. 'Something' is going on - and that something is the transformative action of the categories.

Now, of course, some of you may disagree. But that's how I 'imagize' the semiosic process and I don't see how my use of the plural of Relations or my focus on the individual nature of each ofo the three Relations (and I recall Peirce's focus on their individual nature) is 'offensive' to some.

Edwina


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