Robert, List:

Thank you for sharing this very interesting paper.  The "podium" diagram
strikes me as an effective representation of the relations among Peirce's
three categories, although his term was "involution" rather than
"presupposition"--3ns *involves *2ns, which *involves *1ns.
Coincidentally, I have been thinking about modes of being along similar
lines recently, since "Metaphysics consists in the results of the absolute
acceptance of logical principles not merely as regulatively valid, but as
truths of being" (CP 1.487, c. 1896).

CSP:  Just as the logical verb with its signification reappears in
metaphysics as a Quality, an ens having a Nature as its mode of being, and
as a logical individual subject reappears in metaphysics as a Thing, an ens
having Existence as its mode of being, so the logical reason, or premise,
reappears in metaphysics as a Reason, an ens having a Reality, consisting
in a ruling both of the outward and of the inward world, as its mode of
being. The being of the quality lies wholly in itself, the being of the
thing lies in opposition to other things, the being of the reason lies in
its bringing qualities and things together. (CP 1.515, c. 1896)


Applying this to the "podium" diagram, 1=essence, 2=existence, and
3=reality.  What about the inner portions?  I suggest that 1/2=inherence,
2/3=persistence, and 1/2/3=governance.

In NEM 4:292-300 (1904), Peirce adapts Aristotelian terminology to discuss
the categories--form for 1ns, matter for 2ns, and entelechy for 3ns.  He
describes form as "whatever it is in itself, irrespective of anything else"
(1=essence), matter as "all that it is in reference to something else than
itself" (2=existence), and entelechy as "that which brings things together"
(3=reality).  He goes on to distinguish three relations--"the determination
of Matter by Form" (1/2=inherence), "the reaction of Matter with Matter"
(2=existence), and "a determination of a Matter to a Form"
(1/2/3=governance).  The first and third quotes reflect two subtly
different meanings of "determination" as explained on page 12 of your
paper.

In CP 1.175 (c. 1893), Peirce states, "The reality [3] of things [2]
consists in their persistent forcing themselves upon our recognition. ...
Reality, then, is persistence [2/3], is regularity."  Vincent Colapietro
helpfully spells this out further in his 1989 book, *Peirce's Approach to
the Self: A Semiotic Perspective on Human Subjectivity*.

VC:  Existence is the mode of being of an individual substance considered
as a continuity of *reactions*; insofar as it is *actually *reacting
against other things, it exists. Persistence is the mode of being of such a
substance seen as a *continuity *of reactions; insofar as it endures
throughout a series of reactions, it persists. In other words, existence
(because it is an instance of opposition) designates the aspect of
secondness exhibited by any individual substance, while persistence
(because it is a case of continuity) designates one of the ways in which it
manifests thirdness. (p. 83)


Based on my immersion in Peirce's writings about time lately, another
candidate for 1/2/3 is diversity--the *realization *of different states of
things at different determinations of time, which involves both persistent
things (2/3) and changing qualities (1/2/3).  Peirce describes two
different classes of possible states of things that may be realized at a
lapse of time--*prolonged *states, which are realized at any instant within
a lapse; and *gradual *states, which are realized only at an entire lapse
during which a change occurs from one prolonged state to another, these two
states being "logically incompossible" (see NEM 3:1074-1077, c.1905).  Such
diversity requires *real *qualities to be continuous (1/2/3), rather than
isolated (1), and *real *things to persist (2/3), not merely exist (2).

CSP:  Time with its continuity logically involves some other kind of
continuity than its own. Time, as the universal form of change, cannot
exist unless there is something to undergo change [2/3] and to undergo a
change continuous in time there must be a continuity of changeable
qualities [1/2/3]. (CP 6.132, EP 1:323, 1892)


This is one specific sense in which all three categories are always present
within our existing universe.

CSP:  I chiefly insist upon continuity, or Thirdness, and, in order to
secure to thirdness its really commanding function, I find it indispensable
fully [to] recognize that it is a third, and that Firstness, or chance, and
Secondness, or Brute reaction, are other elements, without the independence
of which Thirdness would not have anything upon which to operate. (CP
6.202, 1898)


I have a different take on the application of the "podium" diagram to
semeiotic, but will start a new thread for that because it ultimately
deviates significantly from the subject matter of your paper.

Regards,

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

On Fri, Apr 10, 2020 at 5:39 PM robert marty <robert.mart...@gmail.com>
wrote:

> Dear colleagues hello,
>
> I submit for your review this preprint which is awaiting publication :
>
> https://academia.edu/resource/work/41574474
>
> Here is his abstract :
>
> "This article organizes Peirce's universal categories and their
> degenerate forms from their presupposition relationships. These
> relationships are formally clarified on the basis of Frege's definition of
> presupposition. They are visualized in a "podium" diagram. With these
> forms, we then follow step by step the well-known and very often cited
> third Peirce Lowell Conference of 1903 (third draft) in which he sets out
> his entire method of analysis based on these categories. The very strong
> congruence that is established between the podium and the text validates
> the importance, even the necessity, of taking into account these
> presuppositions in order to correctly understand
>  Peirce's phenomenology"
>
> I would be very happy to read your comments.
>
> Best regards
>
> Robert Marty
>
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