Hello,

Consider the following test case.

GR: It follows that no instance of 1ns or 2ns ever exists without 3ns which, 
moreover, is the condition of their manifestation.

Let's suppose in the very, very early cosmos, there were no existing 
individuals. No particles and no atoms, only a vague field of random 
potentiality. Much was possible, nothing in particular was yet actual. In this 
limiting case, I am supposing both time and space were rather vague and 
indeterminate.

For this sort of limiting case, my assumption is a random field of potentiality 
could be described in the terms of probablity theory by the central limit 
theorem, the law of large numbers, etc., as a description of what might come to 
be realized.

Does such a supposition involve thirdness? If so, what sort?

--Jeff
________________________________
From: [email protected] <[email protected]> on behalf of 
Jon Alan Schmidt <[email protected]>
Sent: Saturday, October 11, 2025 9:10 AM
To: Peirce-L <[email protected]>
Subject: Re: [PEIRCE-L] Peirce's Categories and Cosmology (was Peirce and 
contemporary cosmology)

Gary R., List:

GR: It follows that no instance of 1ns or 2ns ever exists without 3ns which, 
moreover, is the condition of their manifestation.

This way of putting it is accurate as long as we understand "instance" and 
"exists" in the phaneroscopic (not metaphysical) sense, and it prompts me to 
offer a clarification. As Peirce explicitly states, 1ns and 2ns are never found 
without 3ns, but it is equally true that 3ns is never found without 2ns and 
1ns--within our existing universe, all three categories are always present in 
every phenomenon, and we can only distinguish them by prescinding 2ns from 3ns 
and 1ns from 3ns and 2ns. That is how I understand his remark in the 1898 
blackboard lecture that "in order to secure to 3ns its really commanding 
function, I find it indispensable fully [to] recognize that it is a 3rd, and 
that 1ns, or chance, and 2ns, or Brute reaction, are other elements, without 
the independence of which 3ns would not have anything upon which to operate" 
(CP 6.202).

Accordingly, when I suggest that the constitution of being is an inexhaustible 
continuum (3ns) of indefinite possibilities (1ns), some of which are actualized 
(2ns), I am not proposing a temporal sequence of emergence in the past but an 
underlying ontological hierarchy. As I have said before, the temporal sequence 
of every such actualization is indeed spontaneity (1ns) followed by reaction 
(2ns) and then habit-taking (3ns), and that is what I take Peirce to be 
describing in his early cosmological writings where 1ns comes first. However, 
the basic thesis of his synechism is that this always and only occurs within 
the context of a more fundamental continuum--"I draw a chalk line on the board. 
... There is a certain element of continuity in this line. Where did this 
continuity come from? It is nothing but the original continuity of the 
blackboard which makes everything upon it continuous" (CP 6.203).

Finally, again, Peirce's hyperbolic cosmology posits that the evolution of 
states for the entire universe as a whole is from complete chaos or utter 
indeterminacy (1ns) in the infinite past, through this ongoing process of 
actualization (3ns) at any assignable date, toward complete regularity or utter 
determinacy (2ns) in the infinite future. What I have long found interesting 
about these three cosmological vectors--you call them representation, order, 
and process, but I would now advocate renaming the first one continuity--is 
that in each case, 2ns comes after 1ns, such that the only variation is the 
position of 3ns; it is first in the underlying constitution of being, second in 
the overall evolution of states, and third in the recurring sequence of events.

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 Fri, Oct 10, 2025 at 11:13 PM Gary Richmond 
<[email protected]<mailto:[email protected]>> wrote:
List,

I have only a little to add to this thread at this time as I concur with Jon's 
criticism of Rose's interpretation of Peirce's cosmology centered in an earlier 
view later modified -- evolved -- as many of Peirce's views were on many 
topics. However, in a word, one ignores Peirce's cosmological writings after 
1892 to the detriment of his mature view.

First, Rose treats tychism (chance) as Peirce’s metaphysical foundation. But 
Peirce clearly identifies synechism (continuity) as the central principle of 
his cosmology, nay, his entire evolutionary philosophy (albeit with tychism 
being essential and co-implicative). As is his wont, Jon has supported this 
with strong textual evidence.

Second, Rose misinterprets Peirce’s reference to a “creator” in 'A Neglected 
Argument' as 1ns generating the other categories. In context the “creator” is 
without question God (Ens necessarium) and most definitely not one of the 
categories. In addition, as Jon noted, Peirce explicitly says that God most 
resembles 3ns and not 1ns. So, however a reader might look upon Peirce's 
'theism' (I, for example, am closer to panentheism than to theism), in several 
papers and List post Jon has definitively shown that Peirce was a theist, 
again, with considerable textual support (as if the N.A. weren't sufficient 
support in itself!) One can ignore those texts; but doing so does no justice to 
Peirce's cosmology in all its fullness.

Third, Rose’s idea that 2ns and 3ns 'emerge' from 1ns contradicts Peirce’s late 
doctrine that the categories are co-involved (co-implicated). It follows that 
no instance of 1ns or 2ns ever exists without 3ns which, moreover, is the 
condition of their manifestation. Certainly each of the three categories can be 
prescinded from the categorial trichotomy (it is not usual to do that 
especially in certain analyses in theoretical grammar, the first branch of 
Peirce's logic as semeiotic), but that is but intellectual abstraction for 
specific purposes.

Jon’s critique of Rose’s interpretation is fully consistent with Peirce’s 
mature cosmology (especially from 1892 onward). Rose’s reading -- while 
imaginative and interesting from a process-emergentist standpoint -- grossly 
mislocates Peirce’s metaphysical center (which is continuity, not chance) and 
mistakes the logical relations among the categories for a kind of temporal 
genesis.

If Rose had framed his piece as a speculative reconstruction inspired by 
Peirce’s early cosmology it might have stood as an original philosophical 
experiment. Jon is not claiming that Peirce's later cosmology denies his 
earlier one, only that it helps clarify it, which is to say that we properly 
understand the earlier passages in light of the later ones. But as an 
interpretation of Peirce's cosmology looked on as a whole, Jon’s three 
objections are well-founded both textually and conceptually.

Best,

Gary R
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