RE: [PEIRCE-L] Representing sign relations in existential graphs

2024-01-10 Thread John F Sowa
Jon, List,

The following is a definition of the sign relation by Peirce that has a direct 
mapping to and from an existential graph:

“A sign is anything A, in a relation, r to something B, its object, this 
relation r consisting in fitness to determine something so as to produce 
something, C, the interpretant of the sign." (1904 MS  L107:25)

The date 1904 is significant because Peirce was actively writing his late 
Monist articles, discussing significs and semeiotic with Lady Welby, and 
working on his proof of pragmaticism.   Before, during, and after that time, he 
was also writing and lecturing about EGs, especially in his Logic Notebook.

Note that the EG implied by that quotation has a relation r in with three 
correlates A, B, and C.  That has the same sshape as your EG with the sign as A 
and 'mediating' as the relation.  It also has the same shape as the EG I drew 
below in a note to Cécile.

The most important distinction, however, is one that Noeth implied and that 
Cécile had noticed when she used the word 'sign-object'.   That word is 
synonymous with the word 'sign-mark' that I had adopted after reading Noeth's 
remark.  Both of them are passive, but perceptible objects, things, or marks 
that people interpret as sign-objects or sign-marks.  But the sign itself,  as 
Peirce repeatedly said is triadic.

In Peirce's quotation above, the "anything A" is a passive sign object or mark 
that serves as first correlate.  The relation r is the active triadic sign 
relation.  In Noeth's quotation, he wrote that "sign, representamen, or 
representation were synonymously used as the names referring to the first 
correlate of the triadic relation of semiosis."

But sign as representation or representamen is active, not passive.  I believe 
that in the quotation that has a direct translation to an EG, the first 
correlate A is the passive sign object or mark.  And the relation r is the verb 
form that is a synonym for the active verb 'represents'.

The text below is a combination of two notes that I sent to Cécile on January 6 
and 7.

John

PS:My drawings of EGs below line up very nicely in the type font I'm using 
for writing this note.  But readers may view it with a different font that does 
not line up correctly.  If so, you can make the diagrams line up by adding or 
deleing spaces to make the characters / and \ link correctly to the words above 
and below those lines.


From: "John F Sowa" 

Cécile,

After reading this thread, I found a quotation by Peirce that shows how to draw 
an existential graph that follows  Peirce's words quite closely.  It's also 
consistent with the quotation by Noeth:  "Peirce did consider the sign to be a 
triadic relation, but only in 1868. However, from 1873 onwards, sign, 
representamen, or representation were synonymously used as the names referring 
to the first correlate of the triadic relation of semiosis" (p. 455).

The key to the analysis is the recognition that every sign has a physically 
perceptible mark.  That mark is only a sign when somebody interprets it as a 
sign.  Therefore, we should distinguish the physical sign-mark or sign-object 
from its action as a representamen or representation.

Since nobody has found an EG drawn by Peirce to represent the sign relation, 
the best we can do is to find a quotation by Peirce that has a simple 
translation to an EG.  The following quotation is a good candidate:
“A sign is anything A, in a relation, r to something B, its object, this 
relation r consisting in fitness to determine something so as to produce 
something, C, the interpretant of the sign." (1904 MS  L107:25)

Since Peirce had drawn many EGs before and after 1904, he probably had a direct 
translation to an EG in mind.  He might have drawn an example on his 
blackboard.  Note that this quotation mentions four items:  A, B, C, and a 
triadic relation r.

As an example, let's consider the word "cat' as a sign-object A in a relation 
of representation r to a concept of a cat B to determine a fuzzy animal C as 
the interpretation of the sign.  Following is an EG that represents the 
sentence: "The word "cat" represents a concept CAT to determine a particular 
animal named Felix."

Represents
/|\
"cat"   CAT   Felix

Shorter sentence:   The word 'cat' represents a cat named Felix.

This example follows L107;25 quite directly.  I won't claim that it is exactly 
what Peirce would have drawn, but it follows his words closely.  Since Peirce 
often represented EG relations by verbs, the verb 'represents' may be used as 
the verb from which 'representamen' and 'representation' were derived.

John

---

After sending my previous note, I thought of more examples for representing 
sign relations in EGs -- including EGs that link together whatever graphs are 
necessary to express anything.

I want to emphasize that I was inspired by some of Peirce's writings, but som

Re: [PEIRCE-L] Representing sign relations in existential graphs

2024-01-07 Thread Jerry LR Chandler


> On Jan 6, 2024, at 9:48 PM, John F Sowa  wrote:
> 
> Since nobody has found an EG drawn by Peirce to represent the sign relation,

In the 1870’s or early eighties, CSP referred to the ammonia molecule as a 
symbol.
More precisely, pictorially, he demonstrated the three bonds between the three 
hydrogen atoms and the central nitrogen.  The historical precedence must be 
given substantial weight in discussion of existential graphs.

This is a natural triadic relationship.

This is also an existential graph.

Cheers
Jerry  

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RE: [PEIRCE-L] Representing sign relations in existential graphs

2024-01-07 Thread John F Sowa
Cécile and Helmut,

After sending my previous note, I thought of more examples for representing 
sign relations in EGs -- including EGs that link together whatever graphs are 
necessary to express anything.

I want to emphasize that I was inspired by some of Peirce's writings, but some 
examples go beyond what Peirce himself had said or done.

I'll start with my previous example, consider the word "cat' as a sign-object A 
in a relation of representation r to a concept of a cat B to determine a fuzzy 
animal C as the interpretation of the sign.  Following is an EG that represents 
the sentence: "The word "cat" represents a concept CAT to determine a 
particular animal named Felix."

Represents
/|\
"cat"   CAT   Felix

Shorter sentence:   "The word 'cat' represents a cat named Felix."

The next EG expresses the sentence "The word  'Felix' represents a cat Felix 
that is portrayed by a photograph."

Represents
/|\
"Felix"   CAT   Felix---PortrayedByPhoto

The label Photo refers to a photograph of the cat.  Since Peirce himself had 
hoped  to represent moving images, one might replace the label Photo with an 
actual photograph of the cat,   Nobody knows exactly what Peirce himself might 
have done, but we can say that we were inspired by Peirce to make that 
extension to EGs.

John

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[PEIRCE-L] Representing sign relations in existential graphs

2024-01-06 Thread John F Sowa
Cécile,

After reading this thread, I found a quotation by Peirce that shows how to draw 
an existential graph that follows  Peirce's words quite closely.  It's also 
consistent with the quotation by Noeth:  "Peirce did consider the sign to be a 
triadic relation, but only in 1868. However, from 1873 onwards, sign, 
representamen, or representation were synonymously used as the names referring 
to the first correlate of the triadic relation of semiosis" (p. 455).

The key to the analysis is the recognition that every sign has a physically 
perceptible mark.  That mark is only a sign when somebody interprets it as a 
sign.  Therefore, we should distinguish the physical sign-mark or sign-object 
from its action as a representamen or representation.

Since nobody has found an EG drawn by Peirce to represent the sign relation, 
the best we can do is to find a quotation by Peirce that has a simple 
translation to an EG.  The following quotation is a good candidate:
“A sign is anything A, in a relation, r to something B, its object, this 
relation r consisting in fitness to determine something so as to produce 
something, C, the interpretant of the sign." (1904 MS  L107:25)

Since Peirce had drawn many EGs before and after 1904, he probably had a direct 
translation to an EG in mind.  He might have drawn an example on his 
blackboard.  Note that this quotation mentions four items:  A, B, C, and a 
triadic relation r.

As an example, let's consider the word "cat' as a sign-object A in a relation 
of representation r to a concept of a cat B to determine a fuzzy animal C as 
the interpretation of the sign.  Following is an EG that represents the 
sentence: "The word "cat" represents a concept CAT to determine a particular 
animal named Felix."

Represents
/|\
"cat"   CAT   Felix

Shorter sentence:   The word 'cat' repreents a cat named Felix.

This example follows L107;25 quite directly.  I won't claim that it is exactly 
what Peirce would have drawn, but it follows his words closely.  Since Peirce 
often represented EG relations by verbs, the verb 'represents' may be used as 
the verb from which 'representamen' and 'representation' were derived.

John

_ _ _ _ _ _ _ _ _ _
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