Helmut, List:

I agree that Peirce's three *categories* are associated with different
correlates in different contexts based on their different relations with
each other, not rigidly and absolutely assigned once and for all. For
example, a sign is the 1st correlate of the genuine triadic relation of
representing, 2nd in the order of determination, and a 3rd by virtue of
mediating between its object and interpretant. That is why Gary R.'s six
categorial vectors are so helpful for analyzing various situations (
https://cspeirce.com/menu/library/aboutcsp/richmond/trikonic.htm). However,
Peirce's three *universes *are a specific logical and metaphysical
application of his categories, encompassing whatever might serve as
dynamical objects of signs.

In logic, possibility and necessity are not *predicates *any more than
existence/actuality. Instead, they are *modalities*, which is why axioms
must be added to classical logic to incorporate them, one of which is
called T--if a proposition is necessarily true, then it is actually true.
In the Gamma part of Existential Graphs, anything within a solid cut within
a broken cut is asserted to be *possibly *true, while anything within a
broken cut within a solid cut is asserted to be *necessarily *true.
However, when Peirce ultimately abandoned cuts altogether in favor of
shading, he needed a new notation for such graphs--"I shall now have to add
a *Delta *part in order to deal with modals" (R 500:3, 1911).
Unfortunately, he never spelled out what he had in mind, but my newly
published paper describes a plausible candidate (
https://doi.org/10.2979/csp.00026).

Nominalism is the doctrine that existence/actuality is the *only *real mode
of being--there are no real possibilities (1ns) and no real generals (3ns),
only particular individuals (2ns). This is why I suggested that the
tendency to treat "exists" and "is real" as practically synonymous in
modern vernacular might be a symptom of lingering nominalism. Given
Peirce's remark suggesting that "all Atheists are Nominalists" (SWS:283,
1909), he evidently holds that scholastic realism--the doctrine that there *are
*real possibilities and real generals, as well as real existents, which is
integral to pragmaticism--entails theism. After all, this follows from his
position that only God as *Ens necessarium* can serve as the "rational
explanation" that "logic requires" for "the co-reality of the three
universes," which together contain "all that could ever be observed of
Ideas, Occurrences, or *Logoi*" (R 339:[293r&295r], 1908).

Regards,

Jon Alan Schmidt - Olathe, Kansas, USA
Structural Engineer, Synechist Philosopher, Lutheran Christian
www.LinkedIn.com/in/JonAlanSchmidt / twitter.com/JonAlanSchmidt

On Sat, Oct 26, 2024 at 9:49 AM Helmut Raulien <[email protected]> wrote:

> Jon, List,
>
> but i think, that the categories are not labels eternally stuck to things,
> but roles, things play in certain situations / semioses. If something is a
> possibility or a necessity in one situation, it may be an existent in
> another. And, though existing is not a predicate, but possible and
> necessary are. For example, if you write "A" in a sheet of assertion, you
> say, that A exists. But you may substitute A with A = B is possible, or A =
> B is necessary. Suddenly the possibility or necessity of B exists. And
> reacts with other things, because, if B is possible, and somebody asks:
> "B?", you answer: "Maybe". If B is necessary, and somebody asks: "B?", you
> answer: "Yes". So possibility and necessity react with the answerer.
> Doesn´t necessity imply existence? Existence doesn´t imply necessity,
> because something may exist without necessary reason (causa efficiens), but
> e.g. by chance, purely contingent. So, if God is necessary ("Ens
> necessitans"), I think, he exists too. I don´t think, my view is
> nominalistic, I think, nominalism only would be to call the said "maybe" of
> possibility a "yes", e.g. to say, that, because God is possible, he exists.
> I wouldn´t say so. But with necessity I would.
>
> Best regards, Helmut
>
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