Thread:
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/14286
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/14290
GF:http://permalink.gmane.org/gmane.science.philosophy.peirce/14313
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/14350
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/14351
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/14352
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/14359
GF:http://permalink.gmane.org/gmane.science.philosophy.peirce/14383
JLRC:http://permalink.gmane.org/gmane.science.philosophy.peirce/14388
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/14394
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/14409
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/14422

JLRC: These questions penetrate to the heart of
>>>>> CSP's rhetorical stance as illustrated by
>>>>> the triadic triad:
>>>>>
>>>>> qualisign, sinsign, legisign,
>>>>> icon, index, symbol,
>>>>> rhema, dicisign, argument.
>>>>>
>>>>> If these terms are to form a coherent pattern of inferences,
>>>>> is it necessary that the terms themselves, under different
>>>>> situations and constraints, be impure? (That is, have
>>>>> more than one qualitative or quantitative meaning?)

Jerry, List,

There is something that needs to be said about the proper use of categories and classifications in Peirce's work and what I regard as their mis-use in a great number of contemporary discussions.

One of the first issues I can remember pointing out when I joined the Peirce List was the distinction between "triadicities" and "trichotomies", the first relating to properties of triadic relations and the second relating to mutually exclusive and exhaustive partitions of a domain. Although one can form what is known in mathematics as a "projective" relation between the two structures, the trichotomies remain pale reflections of the richer triadicities, distorting and reducing much of their information. Trying to comprehend triadic relations by means of their projective trichotomies is a project ultimately doomed to fail.

To be continued ...

Jon


Jon Awbrey wrote:

Jerry, List,

Re: "CSP's rhetorical stance"

Somewhere in the classical part of my education I picked up the notion that rhetoric is an inquiry into the forms of argument, discussion, and reasoning that "consider the audience", in other words, that take the nurture and the nature of the interpreter into account.

But considering the interpreter, putting the interpreter back into the process of interpretation, is the very thing that sets Peirce's account of information, inquiry, logic, signs, and pragmatic thinking in general apart from the run of logical systems that had been developed to any significant technical degree up to his time and even long after it.

The Horror! The Horror! A Spectre Is Haunting Logic — The Spectre Of Relativism!

Well, no, not really, but you'd think it from the ter-roar that dyad-in-the-wool flatlanders raise at the very idea of moving logic into the 3rd dimension.

To be continued ...

Jon


Jon Awbrey wrote:
Jerry, List,

If we understand what Peirce is talking about then it's usually fairly
easy to understand what he says, but it's almost impossible to
understand what he says if we do not understand what he's talking about.

That is not a paraphrase of the Meno paradox —
it is only a clue to the role of collateral
acquaintance in escaping the Meno paradox.

I'll try address your questions more directly tomorrow ...

Jon

Jerry LR Chandler wrote:
List, Jon:

These are excellent questions!  What do you think about these
extentions?

These questions penetrate to the heart of CSP's rhetorical stance as
illustrated by the triadic triad:

qualisign, sinsign, legisign,
icon, index, symbol,
rhema, dicisign, argument.

If these terms are to form a coherent pattern of inferences,
is it necessary that the terms themselves, under different
situations and constraints, be  impure? (That is, have
more than one qualitative or quantitative meaning?)

Further questions about the purity of thought arise readily...

In particular, does the concept of a decisign emerge because of the
differences between pure and impure indices, such as the indices between chains and branched chains of inferences?

On a technical note, often CSP's chains of inferences appear to start
with Lavoisier's principle of purity which is necessary for all exact
(pragmatic) logic of chemistry and molecular biology?

Does Lavoisier's principle of purity have any influence on CSP's use
of the terms, Pure Icon and Pure Index?

Cheers

Jerry


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