Lists,

It looks to me like Frederik has provided a fairly comprehensive explanation of 
Peirce's doctrine of the dicisign in chapter 3.  In addition to sorting through 
many of the individual trees in Peirce's account, he provides a view of the 
larger forest.  As I step back and look at the chapter as a whole, I'm 
wondering if we might be able to say more about Peirce's arguments for this 
position.  Over the course of the chapter, Frederik considers a number of the 
arguments Peirce makes, but I wanted to ask a question about how the arguments 
might hang together.

For instance, in section 3.7, he consider Bellucci's explanation of Peirce's 
aims in the Syllabus.  Bellucci says that Peirce intends to "deduce the 
propositions structure from its basic conception as 'bearer of truth values'." 
(NP, 71).  On this account, the deduction takes three steps:  1)  an initial 
definition of Dicisigns with the emphasis on Truth; 2) the argument that this 
definition requires Dicisigns to possess a specific double structure; 3) the 
detailed description of these two parts.

Consider the arguments in "Sundry Logical Conceptions." I tend to think that 
Peirce is offering a more developed argumentative strategy than we have seen 
thus far in NP.  What is the larger strategy? 

--Jeff



Jeff Downard
Associate Professor
Department of Philosophy
NAU
(o) 523-8354
________________________________________
From: Jeffrey Brian Downard [[email protected]]
Sent: Tuesday, October 14, 2014 9:19 PM
To: Peirce List; [email protected]
Subject: RE: [PEIRCE-L] RE: Natural Propositions, Chapter 3.7 - 3.9

Lists,

Several comments have been made about our contemporary use of the terms 
'denotation' and 'connotation'.  It might help if we keep in mind that Peirce 
thought Mill's (mis)use of these terms would likely lead to confusion.  As far 
as I can tell, Peirce was on the mark in his comments about Mill's use of these 
terms.

Peirce insists on using the term 'reference' from the very beginning of his 
writings.  As several people have pointed out, he makes a distinction between 
logical breadth and depth and then, using those conceptions, he provides an 
account of information.

We might try to draw on Peirce's terminology to sort out some of the confusions 
that might arise when we talk about denotation and connotation, but my hunch is 
that this will be an uphill battle.  For those who would like to persist in 
this venture--if only because they are comfortable talking about denotation and 
connotation, it might be good to try to translate the points into the 
conceptions of logical breadth and depth in the hopes of getting things on a 
better track.  When we consider examples and then try to spell out the logical 
depth and breadth of some kind of sign relation, it will probably be worth our 
time to spell out whether we're talking about the depth and breadth of a rheme, 
a dicisign or an argument.

--Jeff

Jeff Downard
Associate Professor
Department of Philosophy
NAU
(o) 523-8354
________________________________________
From: Tom Gollier [[email protected]]
Sent: Tuesday, October 14, 2014 4:57 PM
To: Peirce List; [email protected]
Subject: Re: [PEIRCE-L] RE: Natural Propositions, Chapter 3.7 - 3.9

I have to say, I just don't get this idea of "real facts" from reading Peirce.  
On the one hand, we have the denotation of the subject, something we all seem 
to agree on.  On the other hand, Peirce describes the signifying of the 
predicate, in discussing the icon more generally, as:

     "If it [an icon] conveys information, it is only in the sense in which the 
object that it is used to represent may be said to convey information." [Kaina 
Stoicheia]

Thus, if I say "the book is red," the predicate "red" conveys information in 
the sense which the book itself conveys that information.  That to me is a 
denotation as well, a pointing into the world of our experience, but regardless 
the denotation of the book and that that object conveys the same information as 
"red" is enough to say whether the proposition is true or false.  So, why are 
we talking about the copula being an index, as if there is no other way of 
combining indices and icons, or of "real facts" like they are not just us 
coupling together two kinds of representation?  Why are we going beyond the 
represenation to metaphysically posit the objective existence of "real facts," 
and/or where is the support in Peirce for doing that?

Tom


On Sun, Oct 12, 2014 at 11:20 PM, Catherine Legg 
<[email protected]<mailto:[email protected]>> wrote:
Hi everyone,

I’ve made some progress reading chapter 3.

Re. 3.7:   I’m very excited by this idea of replacing a copula with an index. 
(Subject and predicate are joined by “an index pointing to the real fact 
joining the Subject and the Object.”) I see how this idea lines up with the 
originality in Peirce’s theory of perception (which I’ve only recently got my 
head around) whereby the perceptual judgement is not a *copy* of the percept 
but an *index* of it. This is such a powerful new idea Peirce offers to Western 
philosophy.

Re. 3.9: Love the ‘top-down’ functional analysis of arguments whereby they are 
not *composed* of propositions and terms, but rather the latter are prescinded 
after the fact.

Cheers, Cathy

From: Gary Richmond 
[mailto:[email protected]<mailto:[email protected]>]
Sent: Tuesday, 7 October 2014 12:46 p.m.
To: [email protected]<mailto:[email protected]>
Cc: Peirce List
Subject: [PEIRCE-L] Re: [biosemiotics:7108] Natural Propositions, Chapter 3.7

Frederik, Gary F, Jeff D, lists,

I've almost finished catching up with the very interesting terminological 
discussions relating, on the one hand, to the subject (such as denote, 
designate, indicate, etc). and on the other to the predicate, (such as signify, 
comprehend, connote, etc.) It seems to me that Frederik here employs such terms 
relating to the proposition as Peirce used them in his extraordinary 
development and vast expansion of the proposition as the dicisign concept in, 
especially, the Syllabus and Kaina Stoicheia ca.1903.

I hope, therefore, that it is safe to say that for the present analysis that 
Peirce of this period (and Frederik) is saying:

In considering the proposition (dicisign):
[the Subject--denotes the object == the breadth of the sign] (the Predicate 
signifies its characters == the depth of the sign)

And, further, for Peirce these two are joined not, as they've traditionally 
been, by a copula, but rather by an index of a peculiar kind, indeed of a 
metaphysical kind, namely, an index pointing to the real fact joining the 
Subject and the Object. Or, if I'm getting this right, the formulation breadth 
x depth = information (i.e,, the sum of these two as equaling some factual 
information) for the dicisign means that true information represents a real 
fact in some world of experience.

In 3.7 Frederik shows, in considering the syntax of the proposition, that 
Peirce replaces the traditional copula with an index pointing to the fact being 
represented, the index being the necessary sign for joining the replicas of the 
subject and the predicate of a proposition. This syntactical index involves an 
icon (as all indices do), the icon being, in this case, exactly the 
juxtaposition of the two, that is, their co-localization, as Stjernfelt 
helpfully terms it.

The
 co-localization of the elements of the dicisign:
[Subject](Predicate)

(Such a co-localization syntax is further understood to be primitive and 
pre-linguistic.)

This syntax claims that the dicisign "is really indexically connected to the 
real fact to which the subject and predicate correspond" (Stjernfelt, 66), and 
how this happens forms the argumentation of the rest of this section and some 
of the next (centering on the two objects of the co-localizing index) . But, 
just to make sure I've got this right, I'd like to ask if the above summary 
represents a correct understanding of the terminology dthat Peirce is using ca. 
1903 and if it correctly represents the argument being made regarding the 
syntax of the dicisign in NP 3.7?

Understanding that there are in this syntax two objects helps explain how 
Peirce can speak of the index as being in "existential" relation to the fact 
being represented. But it seems to me that it is to the replica (Secondary 
Object) that the existential relation especially applies, while the reality 
(Primary Object) could be in any of the Three Worlds of Experience, and in that 
sense is different and altogether greater than its replica. So the language of 
existence, of facticity, of secondness, is a bit unnerving to me for both 
Objects.. Frederik's chart on page 70 and the Peirce quotes on 71 (from KS) are 
quite helpful in using the language of reality (3ns), but cf. paragraph 1 on 68 
(the quote from the Syllabus) where both use the language of existence (2ns). 
(I am aware that I may be making a mountain out of a molehill, and that Peirce 
is sometimes simply loose in his existence/reality terminoiogy, an 
understanding I've argued for myself in the past; I doubt that it signals a 
significant change in terminology from the Syllabus to KS)

Btw, I thought your choices of quotes and examples, especially of the Achenbach 
portrait, which was a particularly apt example to make a rather complex point 
(67), as well as your explication of the co-localization syntax were both very 
helpful, Frederik. Thanks!

Best,

Gary


Gary Richmond
Philosophy and Critical Thinking
Communication Studies
LaGuardia College of the City University of New York
C 745
718 482-5690
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