Dear list members,
I think, that the connection between thirdness and triadicity is, that thirdness has three modes (subcategories): 3.1, 3.2, 3.3. So maybe with this respect, one can say, that thirdness is triadic, is that so? Relation, I think, is secondness, as written in the "New List of Categories". Thirdness, I think, is three things: first, the reason for the relation, second, the result of the relation, and third, the continuity, that is the connection between reason and result. In Mathematics, I guess, thirdness is not widely conceptualized, because mathematics is mostly dealing with reversibility, that is without the concept of time, so there is no need for continuity, but I also guess, that this guess is probably false.
Best,
Helmut
26. November 2015 um 16:28 Uhr
"Edwina Taborsky" <[email protected]> wrote:
 
Gary F - I continue to disagree with your interpretations. In this example, a rheme is not functioning in a mode of Thirdness but in a mode of Firstness.
 
And triadicity is basic to the phaneron.
 
I know that you consider my view that Peirce uses the term 'sign' to mean both the representamen and the full triad as 'peculiar' - but I'm hardly alone in that perspective.
For example, in Hoffmeyer, "the sign represents a relation between three factors: (1) the primary sign-the sign vehicle- i.e., the bearer or manifestation of the sign regardless of its significance; (2) the object to which the sign vehicle refers; and (3) the interpretan, i.e., the sysem which construes the sign vehicle's relationship to its object (eg, the mental processes)...To be a sign in Peirce's sense of the word all three of these elements must be present" (p 19, 1996, Signs of Meaning in the Universe).
 
See also Spinks' 'Triadomania', where he refers constantly to signs as the full triad.
 
And see Cornelius de Waal, where he writes that "a sign relates three components, not just two as with Saussure's signifier and signified. The sign is a genuine triad" - 79. "Peirce, a Guide for the Perplexed'.
 
And Peirce's own ten classes of signs 2.254 most certainly don't refer just to the representamen but to the full triad.
----- Original Message -----
Sent: Thursday, November 26, 2015 10:09 AM
Subject: RE: [PEIRCE-L] Re: signs, correlates, and triadic relations
 

Jon, I’m in total agreement with this:

There is a fundamental category error that arises here, of confusing a relation with one of its tuples.

 

But not with this:

The best guard against this error is the collateral knowledge of how relations are understood in mathematics generally, namely, as sets of ordered tuples. 

 

This may be true for mathematicians, but personally, to make sense of a locution like “sets of ordered tuples”, I have to call upon my collateral knowledge of the difference between a relation and its relata, or correlates. These concepts are mathematical, in the broad sense, but that doesn’t mean that the jargon or the reasoning of professional mathematicians is the best adapted to understanding the concept.

 

Besides, the kind of treatment you recommend (as opposed to the treatment Peirce gives in his “Nomenclature and Divisions of Triadic Relations”) tends to invite another error, which is the confusion of triadicity with Thirdness. In Peirce’s terms, a rheme is a sign because it is a correlate of the triadic relation (with its object and interpretant) which is exemplary of Thirdness, not because of its valency or the number of “blanks” in it, which could be any number. Thirdness is an element of the phaneron; triadicity is not. I see a lot of posts here which appear to confuse the two. (I don’t mean yours.)

 

Gary f.

 

} My only drink is meaning from the deep brain, What the birds and the grass and the stones drink. [Seamus Heaney] {

http://gnusystems.ca/wp/ }{ Turning Signs gateway

 

From: Jon Awbrey [mailto:[email protected]]
Sent: 26-Nov-15 09:30

 

 

Peircers,

 

There is a fundamental category error that arises here, of confusing a relation with one of its tuples.

 

The best guard against this error is the collateral knowledge of how relations are understood in mathematics generally, namely, as sets of ordered tuples. 

 

Regards,

 

Jon

 


On Nov 25, 2015, at 9:14 PM, <[email protected]> <[email protected]> wrote:

Yes, Peirce says that “meaning is a triadic relation.” But meaning is not a sign. Edwina, you say that a sign is a triadic relation, or a “triad,” while Peirce says that a sign is “a correlate of a triadic relation.” Do you really not see the difference?

 

Likewise with reference to CP 1.540, you don’t acknowledge the difference between representation and a representamen. It might help if you quoted Peirce’s whole sentence, and the one following it:

[[ In the first place, as to my terminology, I confine the word representation to the operation of a sign or its relation to the object for the interpreter of the representation. The concrete subject that represents I call a sign or a representamen. ]]

Once again, Peirce says that representation is a triadic relation – and that a sign, or representamen, is the correlate of the relation that represents the object for the interpretant.

 

You still have not cited a single quote where Peirce says that a sign is either a “triadic relation” or a “triad.” No amount of repeated recapitulation on your part can conceal that fact, or the obvious inference from it, that Peirce simply does not use the word “sign” that way.

 

Gary f.

 

 


 


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