John,

It's because it's a very tough audience that I'm going to take my time here. A 
day or so. If I rush it, and it criticizes, Peirce, then one mistake and it's 
all thrown out (and I know you and others here — peer review system — will 
understand that: especially when unorthodox, it has to be basically flawless).

It's not me trying to cryptic it's just the only way it can be done.

I will narrow noumenal for you: I mean it is genuinely apriori (beyond 
experience).* I do not deviate from Kant's immediate requirements (nor Hume's — 
if proof accepted) for what constitutes a metaphysical proof by narrowing to 
more or less the strict definition Kant uses in response to Hume in the first 
instance. I do use it more strictly than Kant, that is, I mean beyond all 
possible experience and so, as you note, the it's a very high standard 
especially when I wish to use "real" (not diverging from Peirce much at all 
there) and also try to recontextualize it beyond the dynamic object or any 
other classification.



*First, concerning the sources of metaphysical cognition, it already lies in 
the concept of metaphysics that they cannot be empirical. The principles of 
such cognition (which include not only its fundamental propositions or basic 
principles, but also its fundamental concepts) must therefore never be taken 
from experience; for the cognition is supposed to be not physical but 
metaphysical, i.e., lying beyond experience.).

Best

Jack
________________________________
From: [email protected] <[email protected]> on behalf of 
Jon Alan Schmidt <[email protected]>
Sent: Tuesday, June 24, 2025 8:28 PM
To: Peirce-L <[email protected]>
Subject: Re: [PEIRCE-L] Necessity of the Noumenal (was Modeling and finalizing 
Peirce's semiotics with AI, Part 1)

Jack, List:

Could you at least go ahead and provide your precise definition of "noumenal" 
and the exact formulation of your conclusion about it? I do not mind waiting 
for the premisses and other details, but getting that much right away--the 
bottom line, so to speak--would be appreciated.

Fair warning, demonstrating that Peirce's dynamical object is "absolutely 
incorrect and fraught with actual inconsistencies" will be a very hard sell on 
an e-mail list called Peirce-L.

Thanks,

Jon

On Tue, Jun 24, 2025 at 2:10 PM Jack Cody 
<[email protected]<mailto:[email protected]>> wrote:
Jon, List,

Thank you for the clarity. I will do as you ask (straight-forward deductive in 
accordance with classical propositional logic).

No, not published as it is yet except internally. The only reason for this is 
that it is indeed momentous (I have entailed what is true in Hume and proven 
Kant's primary thesis and demonstrated how and why — so not nothing) and when 
you have something like that you take your time (as Kant said after reading 
Hume, that he'd be back in a few months and returned about a decade later with 
the Critique).

I've had to include the likes of Tarski/Godel and others within frameworks 
where not one contradiction emerges — successively.  It is very close to 
publication but again it's ready when it's ready — the solution, if you want to 
call it that, is such that I'm not exactly worried if someone else wants to 
claim it because it can only be done one way (and I have it on record for 
years). More than accommodate Godel and Tarksi, I've explained them (the origin 
of their theories in necessary logical form). This, as I hope you understand, 
takes a lot of time. Years.

Anyway, happy to share. But in advance, I have to do some work here because I 
recall the last time this happened someone cited Peirce's dynamic object which 
is absolutely incorrect and fraught with actual inconsistencies which require 
logical explication in full context.

So, I appreciate your interest, and challenge, I add, and shall reply to 
you/list as soon as is possible.

Thanks.

________________________________
From: [email protected]<mailto:[email protected]> 
<[email protected]<mailto:[email protected]>> on behalf 
of Jon Alan Schmidt <[email protected]<mailto:[email protected]>>
Sent: Tuesday, June 24, 2025 8:01 PM
To: Peirce-L <[email protected]<mailto:[email protected]>>
Subject: [PEIRCE-L] Necessity of the Noumenal (was Modeling and finalizing 
Peirce's semiotics with AI, Part 1)

Jack, List:

Again, precise definitions of your terms are needed up-front, including 
"noumenal" and now "real" (why the scare quotes?) as well as "exist."

I was hoping for a straightforward deductive argumentation in accordance with 
classical propositional logic. If that is not possible, then I suggest choosing 
one of the standard systems of modal propositional logic, but that will 
introduce debatable premisses from the get-go, such as the nature of the 
accessibility relation. Requiring anything more sophisticated than that will 
further reduce the likelihood that your argument will turn out to be 
perspicuous and persuasive.

I assume that you have published such a momentous result in a peer-reviewed 
book or journal. Maybe the first step is simply providing a link to that.

Regards,

Jon

On Tue, Jun 24, 2025 at 12:28 PM Jack Cody 
<[email protected]<mailto:[email protected]>> wrote:
John, List,

I appreciate your reply. Well, Peirce has a good description and he calls this 
the "real". Now, he makes a mistake when he says the noumenal is nonsense (or 
words to that effect) for my proof necessitates that the "real" can only exist 
(and does in absentia of all formalism I might add, but I do not say Peirce did 
not know this either) insofar as you admit the noumenal and this is beyond all 
possible experience (precisely as Kant said). It is genuinely Apriori and is an 
inferred necessity.

I'd rather ask you for the precise terms you want the proof in. The style of 
logic (consistent/para-modal/etc) and so on rather than present one which will 
be dismissed for some formal flaw. It's best that way. I have it in many 
different "languages". It is flexible so I can accommodate you here. You set 
the formal rules, explicitly, if you could (I ask a lot here maybe), and I'll 
return the good faith with a proof in that language/style.

Best

Jack

PS: the "real" is apriori (and I find Peirce most sensible when he does agree 
with Kant, at that stage in his life where admits that something like the 
noumenal must exist, before he later goes back upon it — if my chronology is 
correct).

________________________________
From: [email protected]<mailto:[email protected]> 
<[email protected]<mailto:[email protected]>> on behalf 
of Jon Alan Schmidt <[email protected]<mailto:[email protected]>>
Sent: Tuesday, June 24, 2025 6:19 PM
To: [email protected]<mailto:[email protected]> 
<[email protected]<mailto:[email protected]>>
Subject: Re: [PEIRCE-L] Modeling and finalizing Peirce's semiotics with AI, 
Part 1.

Jack, List:

JRKC: I think it close to impossible to demonstrate the necessity of a triad

On the contrary, Robert Burch wrote an entire book to present his proof of 
Peirce's reduction thesis 
(https://books.google.com/books/about/A_Peircean_Reduction_Thesis.html?id=MK-EAAAAIAAJ)
 and provides a very brief summary in his online SEP entry about Peirce 
(https://plato.stanford.edu/entries/peirce/#red), while Sergiy Koshkin purports 
to demonstrate it even more rigorously in a recent Transactions paper 
(https://muse.jhu.edu/pub/3/article/886447). Personally, I find Peirce's own 
diagrammatic demonstration to be simple and persuasive enough--relations of any 
adicity can be built up of triads, but triads cannot be built up of monads or 
dyads despite involving them (EP 2:364, 1905).

[image.png]

JRKC: I can prove the necessity of that Kant calls the Noumenal apriori

You have made this ambitious claim here before. What precise definition are you 
using for "the Noumenal"? In other words, please spell out exactly what you 
believe that you have proved, preferably as a complete deductive argumentation 
with carefully formulated premisses and the conclusion that (allegedly) follows 
necessarily from them.

Regards,

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

On Tue, Jun 24, 2025 at 10:11 AM Jack Cody 
<[email protected]<mailto:[email protected]>> wrote:
List, Robert

Thanks for the link to your paper.

I have to say, and this may go down like a lead balloon, but to be truly 
apriori, insofar as I am certain Kant and Hume use this term consistent with 
what it ought to mean, in that it be "independent of experience", then you must 
make provision for results which are not restricted to the triadic. That is, I 
think it close to impossible to demonstrate the necessity of a triad, which to 
me, is an arbitrary schema in all geometry and sciences, regardless of 
qualitative distinction surrounding it which I do understand (Peirce and so 
forth — it is not arbitrary for Peirce and he makes his arguments as everyone 
knows).

I'd be interested to know if you can prove the necessity of retaining the triad 
and qualify "independent of experience" (I cannot). I can prove the necessity 
of that Kant calls the Noumenal apriori and it is one of the few things which 
is truly apriori (I'm hard pressed to think of a second, in fact).
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