Jon, Gary, list,

 

I just noticed that a point got somehow dropped out between those numbered 9 
and 10 below. That point was about the rheme/dicisign/argument trichotomy, 
which of course is Peirce’s third division of signs, “according as its 
Interpretant represents it as a sign of possibility or as a sign of fact or a 
sign of reason.” If we need to refer to this point, let’s call it “point X.” 
Anyway, it’s absence does not not affect the main argument of the post.

 

Gary f.

 

_____________________

Jon S, Gary R,

 

Evidently you are both making some inference that to me appears unwarranted and 
unmotivated. The issue may be terminological, or it may be grounded in a much 
deeper conceptual difference regarding the nature of signs. Perhaps if I break 
the whole matter into smaller steps as I see them, and lay them out one at a 
time, you will be able to identify the step where my thinking diverges from 
yours. Since the crux of the matter appears to be CP 2.238 in NDTR, all of my 
direct references will be to NDTR. Maybe after that I can comment on Jon’s 
remarks about Peirce’s 1908 classification.

 

The question for you is: Which of the following assertions would you deny?

 

1.      A trichotomy is a division of something into three, such that each of 
the three resulting terms denotes a subtype of the original something.
2.      NDTR as a whole — and CP 2.238 in particular — is about division of 
triadic relations into types.
3.      All triadic relations have three correlates, generically labelled 
First, Second and Third correlates.
4.      Any of the three correlates of a given triadic relation may be regarded 
as simpler or more complex than the others. If they are not all of the same 
complexity, then the simplest is called First and the most complex is called 
Third correlate.
5.      All of NDTR from CP 2.243 on (pp. 291-299 in EP2) is about one type of 
triadic relation, of which a Sign is First Correlate, an Object is Second 
Correlate, and a (possible) Interpretant is Third Correlate.
6.      In NDTR there are three trichotomies in which the three divisions have 
specific names. These are icon/index/symbol, rheme/dicisign/argument, and 
qualisign/sinsign/legisign. Each of these nine terms names a type of Sign (not 
a type of triadic relation, but the type of First Correlate which characterizes 
such a triadic relation).
7.      The extensions of these names are obviously overlapping, as the same 
sign can be (for instance) a symbol and an argument and a legisign. However the 
overlapping is constrained by the order of determination, so that (for 
instance) the same sign cannot be both a sinsign and an argument. [We have 
already agreed on this.]
8.      In each of these three trichotomies in NDTR, the three sign types are 
distinguished according to different criteria, which criteria are logically 
independent of one another.
9.      The icon/index/symbol trichotomy, introduced by Peirce in 1867 (though 
with slightly different names), is made according to the (dyadic) relation 
between Sign and Object, i.e. between the first and second correlates of the 
triadic relation.
10.     The qualisign/sinsign/legisign trichotomy, introduced by Peirce in 
1903, is made according to the nature of the sign itself without regard to its 
relation to the other correlates in the triadic relation; or as Peirce puts it, 
“according as the sign in itself is a mere quality, is an actual existent, or 
is a general law.” For this reason, it would be fair enough to call it “the 
Sign trichotomy,” although Peirce simply refers to it as “the first division.” 
However, I don’t call it “the Sign trichotomy” because all three trichotomies, 
and not only this one, are divisions of Signs. There is no “Object trichotomy” 
or “Interpretant trichotomy” in NDTR. (Peirce does introduce in 2.238 the 
possibility of dividing triadic relations according to the nature of the Second 
or the Third Correlate, but he never actualizes that possibility, and if he 
did, they would not be divisions of Sign types. (If they were applied to the 
kind of triadic relation of which a Sign is First Correlate, they would be 
divisions of Object types and Interpretant types, respectively.)
11.     You will have noticed that I have listed the three trichotomies in a 
different order from that of Peirce’s list in 2.243 (EP2:291, quoted below by 
Jon). Jon appears to be claiming that if the three trichotomies are listed in 
the order I have given, or in any order differing from 2.243, they could not 
“generate the ten specific classes of Signs that Peirce subsequently 
identified, in accordance with the rule that a possibility can only determine a 
possibility and a law can only be determined by a law.” My contrary claim is 
that the order in which trichotomies are listed has nothing to do with the 
order of determination that applies to correlates, and if Peirce had chosen to 
list them in the order I did, this would make absolutely no difference to the 
tenfold classification of signs. What does make a difference is the criteria 
according to which the trichotomies are defined … which are not the criteria 
listed in CP 2.238. 
12.     I still can see no basis for your assertion, Jon, unless it be a 
confusion of trichotomies with correlates. Indeed, a similar confusion that 
would seem to be behind your assertion that “Each of the correlates in that 
1908 passage is divided by a trichotomy, so the order of determination is the 
order of the trichotomies.” I don’t see how you relate this to 2.238, given 
that it is not true of 2.238, or of NDTR as a whole, that “each of the 
correlates is divided by a trichotomy.” As I said above, there is no “Object 
trichotomy” or “Interpretant trichotomy” in NDTR. More important, the order of 
determination (or complexity) applies the order of correlates but has nothing 
to do with the order of trichotomies.

 

Point 12 seems a good place to stop, for now at least. Perhaps this is enough 
to locate the point of divergence in our respective accounts of Peirce’s 
classifications of signs.

 

Gary f.

 

From: Jon Alan Schmidt [mailto:jonalanschm...@gmail.com] 
Sent: 15-Apr-17 18:54
To: Gary Fuhrman <g...@gnusystems.ca <mailto:g...@gnusystems.ca> >
Cc: Peirce-L <peirce-l@list.iupui.edu <mailto:peirce-l@list.iupui.edu> >
Subject: Re: [PEIRCE-L] Dyadic relations within the triadic

 

Gary F., List:

 

GF:  The reason for the 1908 ordering you quote seems clear enough because it 
is an order of successive determination, but it has no relation to any ordering 
of trichotomies.

 

Now you lost me.  Each of the correlates in that 1908 passage is divided by a 
trichotomy, so the order of determination is the order of the trichotomies.  
For example, as Peirce goes on to explain (EP 2:484-488), a Potisign can be 
Copulative, Denominative, or Descriptive; an Actisign can be Copulative or 
Denominative; and a Famisign must be Copulative.  This is because the Immediate 
Object determines the Sign; in other words, the Immediate Object trichotomy 
comes (logically) before the Sign trichotomy.

 

GF:  Nor is there any logical order among the three trichotomies that Peirce 
actually applies to signs in NDTR.

 

Yes, there is.

 

CSP:  Signs are divisible by three trichotomies:  first, according as the sign 
in itself is a mere quality, is an actual existent, or is a general law; 
secondly, according as the relation of the sign to its Object consists in the 
sign's having some character in itself, or in some existential relation to that 
Object, or in its relation to an Interpretant; thirdly, according as its 
Interpretant represents it as a sign of possibility, or as a sign of fact, or a 
sign of reason. (EP 2:291, emphases added)

 

The three 1903 trichotomies must be in this order to generate the ten specific 
classes of Signs that Peirce subsequently identified, in accordance with the 
rule that a possibility can only determine a possibility and a law can only be 
determined by a law.

 

Regards,




Jon Alan Schmidt - Olathe, Kansas, USA

 

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