Thread on The Great Chain of Reasoning:
GF:http://permalink.gmane.org/gmane.science.philosophy.peirce/13876
ET:http://permalink.gmane.org/gmane.science.philosophy.peirce/13878
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/13879
GF:http://permalink.gmane.org/gmane.science.philosophy.peirce/13880
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/13885
FS:http://permalink.gmane.org/gmane.science.philosophy.peirce/13886
SR:http://permalink.gmane.org/gmane.science.philosophy.peirce/13887
FS:http://permalink.gmane.org/gmane.science.philosophy.peirce/13888
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/13890
GF:http://permalink.gmane.org/gmane.science.philosophy.peirce/13894
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/13896
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/13897
GF:http://permalink.gmane.org/gmane.science.philosophy.peirce/13898
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/13899
FS:http://permalink.gmane.org/gmane.science.philosophy.peirce/13901
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/13906
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/13937
SJ:http://permalink.gmane.org/gmane.science.philosophy.peirce/13938

Sung & All,

Here I was using "matrix" in its more native and pregnant sense of "something 
within which
something else originates or develops" (Webster), always bearing chemical and 
geological
images in mind of a mother liquor out of which crystals precipitate or "the 
natural material in
which a fossil, metal, gem, crystal, or pebble [read "calculus"] is embedded" 
(Webster).

I was really just trying to vary idiom in order to avoid saying "sign relation" 
every other phrase.
More prosaically, I might have said "sign relation perfused with genuine symbols" or 
"sign relation
glued together (glia?) and greased to the gills with genuine symbols".

Regards,

Jon

Sungchul Ji wrote:
Jon wrote:

"But analogies and icons all break in time, at one point or another, and it is only their embedding in a more fluid and robust symbolic matrix that makes it possible for us to use them where they fit and to set them aside when they fail."

By "symbolic matrix" do you mean algebraic and formal expressions in contrast 
to diagrams ?

Sung


Re: Frederik Stjernfelt At: 
http://permalink.gmane.org/gmane.science.philosophy.peirce/13901

Exactly.

And this is one of those places where we have to watch out for the possibility of a backward step, where it is very tempting to fall back on the "Mirror Of Nature Theory Of Science" (MONTOS) and the "Iconic Doctrine Of Language" (IDOL). ;)

The diagrammatic and dynamic qualities of Peirce's logic, as epitomized in the entitative and existential interpretations of his logical graphs, were chief among the features that drew me to explore his logical systems from the very beginning of my studies. But analogies and icons
 all break in time, at one point or another, and it is only their embedding in 
a more fluid and
 robust symbolic matrix that makes it possible for us to use them where they 
fit and to set
them aside when they fail.

Regards,

Jon

Frederik Stjernfelt wrote:
Dear Jon, list - I also remarked that in McCulloch. You're right about the less than straightforward relation between logical consequence and temporal sequence … If the two were
 identical, mental processes probably would be unable to address contents 
different from
those processes … Best F

Den 04/09/2014 kl. 16.10 skrev Jon Awbrey 
<[email protected]<mailto:[email protected]>>:

Re: Frederik Stjernfelt At: 
http://permalink.gmane.org/gmane.science.philosophy.peirce/13886

Frederik,

Yes, the orthogonality or independence of descriptive and normative sciences is noted by McCulloch in his opening lines. The thing that struck me like a lightning synapse when I first read that passage, long time passing, was the fact that he set the logical arrow opposite to the causal arrow, invoking the shade of Duns Scotus and bound causes, which I looked up once or twice but didn't exactly get clear about, but anyway it sets the mind to thinking that there is nothing terribly automatic or straightforward about the relation of logical consequence and temporal sequence. Realizing that possibility opens up a much wider field, and I dare say a more realistic field of investigation.

Et sic deinceps ...

Jon


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