Thread (cont.)
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/13937
SJ:http://permalink.gmane.org/gmane.science.philosophy.peirce/13938
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/13939
TG:http://permalink.gmane.org/gmane.science.philosophy.peirce/13940
Tom,
I'm guessing you hadn't read my reply to Sung before replying to his, so let me explain that my use
of the phrase "symbolic matrix" was simply a rhetorical variant for "sign relation that happens to
be rife with signs of the symbolic type".
You may know me well enough by now to recognize that I always use "sign relation" to mean a set (or
a collection) of ordered triples of the form (o, s, i) — or any other of the 6 possible orders that
happens to be convenient in a given context.
Sometimes we think of the collection of triples in a sign relation as being very numerous and very
indefinite. Here we imagine the set of triples to encompass the entire "setting" of our discussion
and thought and we may well regard this "matrix" more in the sense of Dewey's "existential matrix".
When we want to analyze an example of a sign relation with any degree of thoroughness — as we might
analyze the genome of a flatworm or roundworm down to the last drop of DNA — we reign in the triples
of the target sign relation to a definite, definable collection, often but not always rather small.
Hope that clears a few things up ...
Jon
Tom Gollier wrote:
If propositions are diagrams, dependent on analogy, logic and "symbolic
matrices" are surely diagrams as well. Formal logic suffers from a certain
sterility, I think, precisely because it focuses exclusively on the logical
diagram itself, forgetting the analogies at it's base and not worrying all
that much about it's experiential consequences.
Tom
On Sat, Sep 6, 2014 at 3:30 AM, Sungchul Ji <s...@rci.rutgers.edu> wrote:
Jon wrote:
"But analogies and icons all break in time, at one (090614-1)
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
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