Robert, List:

RM:  I remember reading to you that we already had this debate on the
hexadic signs and that each one remained on its positions.


Your memory is impressive--I did not recall our previous exchange
<https://list.iupui.edu/sympa/arc/peirce-l/2018-09/msg00204.html> about
this, which happened nearly two years ago.  At that time, I similarly
summarized my reason for disagreeing with you.

JAS:  The Destinate Interpretant is what the Sign is *destined *to signify
at the end of infinite inquiry by an infinite community; i.e., the
*Final *Interpretant.
The Explicit Interpretant is what a Replica of the Sign *explicitly*
signifies within a particular Sign System; i.e., the *Immediate *Interpretant.
Hence the logical order of determination is Od-->Oi-->S-->If-->Id-->Ii.


However, I have not been able to find an argument from you--then or
now--justifying the alternative of equating "destinate" with "immediate"
and "explicit" with "final," such that the *logical* order of
determination for the six correlates is instead
Od-->Oi-->S-->Ii-->Id-->If.
There is a sense in which this is their *temporal *order, but that is not
what I understand "determination" to mean in this context.

RM:  ... if you assign any final interpreter to category (3) then there can
only exist one class of signs: 3-3-3 for the triadic signs and 3-3-3-3-3-3
for the hexadic signs.


There are three problems with this assertion.  First, when I associate the
final interpretant with the top of the podium diagram (3), I am not
claiming that the final interpretant of every sign is a
necessitant/tertian; I am simply treating it as the *genuine* interpretant,
while the dynamical interpretant is *degenerate *(2/3) and the immediate
interpretant is *doubly degenerate* (1/2/3).  Second, the third trichotomy
of the 1903 taxonomy is not according to the *nature* of the final
interpretant (If), but according to its *relation* with the sign (S-If);
the only trichotomy that the two taxonomies have in common is the one for
the nature of the sign itself (S), which comes first in 1903 and third in
the hexad.  Third, while your ordering of the trichotomies indeed results
in only one class of signs with If=3 (3-3-3-3-3-3), mine does not; instead,
there are six (3-3-3-3-3-3, 3-3-3-3-3-2, 3-3-3-3-3-1, 3-3-3-3-2-2,
3-3-3-3-2-1, 3-3-3-3-1-1).

RM:  We can moreover easily see it from the evidence formulated by Peirce
according to which a tertian (3) can only be determined by a tertian
(letter to Lady Welby of December 23, 1908) which implies that, going up
the chain of determinations, we can only find three.


This is what I call the rule of determination, along with the principle
that a possible/priman can only determine another possible/priman.  Setting
aside for the moment my misgivings about classifying signs using *any *linear
order of trichotomies, I find the result of applying it to my sequence more
plausible than what emerges from yours.  Can a sign *intended* to produce
only a feeling (gratific, If=1)--i.e., one that *would *only produce a
feeling under ideal circumstances--instead have, as its *actual* effect, an
exertion (percussive, Id=2) or a further sign (usual, Id=3)?  Your order
says yes, mine says no.  On the other hand, can a sign whose *actual *effect
is merely a feeling (sympathetic, Id=1) be one *intended* to produce action
(actuous, If=2) or self-control (temperative, If=3)?  Your order says no,
mine says yes.

Put another way, my approach properly entails that the nature of a sign's
actual effect (Id) can only deviate from the nature of its intended/ideal
effect (If) in the "downward" direction of involution/presupposition.  This
is consistent with the principle that a logical interpretant (further sign)
always involves/presupposes an energetic interpretant (exertion), which
always involves/presupposes an emotional interpretant (feeling).

CSP:  Corresponding to it [the object] there is something which the sign in
its significant function essentially determines in its interpreter. I term
it the "interpretant" of the sign. In all cases, it includes feelings; for
there must, at least, be a sense of comprehending the meaning of the sign.
If it includes more than mere feeling, it must evoke some kind of effort.
It may include something besides, which, for the present, may be vaguely
called "thought." I term these three kinds of interpretant the "emotional,"
the "energetic," and the "logical" interpretants. (EP 2:409, 1907)


In other words, the nature of the final interpretant constrains the
possible natures of the dynamic and immediate interpretants, just as the
nature of the dynamical object constrains the possible nature of the
immediate object.  Your order requires instead that the nature of the
immediate interpretant constrains the possible natures of the other two;
and if there is a good case to be made for this, then I am sincerely
interested in seeing it.

RM:  I also show that to talk about the 66 classes we must first find how
and in what order are the other 4 trichotomies added by Peirce.


Yes, and I still consider the most plausible *logical* order of
determination for all ten trichotomies to be
Od-->Oi-->S-->Od-S-->If-->Id-->Ii-->S-If-->S-Id-->Od-S-If.

RM:  As for the presuppositions between classes it is true, as you rightly
notice, that Peirce uses the term "involution" which is at least as
difficult to handle (and to translate). The fact remains that the evidence
he formulates in his letter to Lady Welby of December 23, 1908 is
equivalent to presuppositions as Frege (amended by Strawson) formulated
them.


I tend to prefer sticking with Peirce's own terminology when discussing his
ideas, but I understand your point and do not necessarily disagree.

Regards,

Jon Alan Schmidt - Olathe, Kansas, USA
Professional Engineer, Amateur Philosopher, Lutheran Layman
www.LinkedIn.com/in/JonAlanSchmidt - twitter.com/JonAlanSchmidt

On Mon, Apr 13, 2020 at 5:02 AM robert marty <[email protected]>
wrote:

> Jon, List
>
> I remember reading to you that we already had this debate on the hexadic
> signs and that each one remained on its positions. I see that you have not
> changed and I see that you are investing the podium according to your own
> concerns. In the scientific debate everything is allowed except to use the
> argument of authority. I have not changed either and even I think I have
> progressed a lot in clarification by creating the "trichotomic machine" (
> Marty,Robert, « The trichotomic machine », *Semiotica*, vol. 2019, no
>  228,‎ mai 2019, p. 173-192, ISSN
> <https://fr.wikipedia.org/wiki/International_Standard_Serial_Number>
> 1613-3692 <http://worldcat.org/issn/1613-3692&lang=fr>) which is a
> universal "machine". You will find a complete description of it at the URL
> https://www.academia.edu/s/d347b3561a/the-trichotomic-machine-brings-order-among-the-interpretants,
> with a perfectly clear result, that if you assign any final interpreter to
> category (3) then there can only exist one class of signs: 3-3-3 for the
> triadic signs and 3-3-3-3-3-3 for the hexadic signs. We can moreover easily
> see it from the evidence formulated by Peirce according to which a tertian
> (3) can only be determined by a tertian (letter to Lady Welby of December
> 23, 1908) which implies that, going up the chain of determinations, we can
> only find three. I also show that to talk about the 66 classes we must
> first find how and in what order are the other 4 trichotomies added by
> Peirce. If this point is neglected and the existence of decadic signs is
> posed, then the number of classes explodes because each missing
> determination in the chain of determinations multiplies by 3 the number of
> possible classes.
>
> As for the presuppositions between classes it is true, as you rightly
> notice, that Peirce uses the term "involution" which is at least as
> difficult to handle (and to translate). The fact remains that the evidence
> he formulates in his letter to Lady Welby of December 23, 1908 is
> equivalent to presuppositions as Frege (amended by Strawson) formulated
> them. It's in this article. This clearly provides the basics of machine
> operation. In addition, I have shown, thirty years ago now, that Peirce's
> intuitions on the affinities between classes of signs could be formulated
> in a well-known lattice order structure (10 or 28 classes… and why not 66
> with a collective agreement on choices of determinations.
>
> Best regards
>
> Robert Marty
> https://fr.wikipedia.org/wiki/Robert_Marty
> *"… in scientific inquiry, as in other enterprises, the maxim holds :
> nothing hazard, nothing gain." *(C. S. Peirce, MS 318, Pragmatism)
>
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