Dear Helmut,

Not to fear. Peirce's world is not chaotic. Chance is a real factor in the 
universe, as are factuality and potentiality. In fact, without chance, there 
could be no growth or adaptation. For Peirce, all lawfulness/generality is 
provisional, since the lawfulness of the universe cannot be fixed until all the 
evidence has been considered, which will take forever.

Martin Kettelhut, PhD

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________________________________
From: [email protected] <[email protected]> on behalf of 
Helmut Raulien <[email protected]>
Sent: Monday, December 8, 2025 10:24 AM
To: [email protected] <[email protected]>; [email protected] 
<[email protected]>
Cc: [email protected] <[email protected]>
Subject: Aw: [PEIRCE-L] Truth and Reality (was Sign Tokens and Sign Types)

Edwina, List,

what did you mean by "chance deviations"? I have not read the respective texts 
by Peirce about tychism, I guess tychism claims, that certain, not all, parts 
of metaphysics are due to evolution. I cannot see, how e.g. the laws of logic 
might be due to evolutional change, because they are more or less 
self-corrobating, that is "tautological" (as I wrote) in a broader sense, so I 
guess, tychism sees not them, but natural laws and constants due to 
evolutionary change. Anyway- if metaphysics is stripped of some before 
reliable-seeming aspects, and laws and constants are no longer regarded for 
laws and constants, but for parameters due to evolutional change, this makes 
any philosophy more complicated, because, the more changing parameters you 
have, the more chaotical gets the system of thought, and the more futile it 
seems to apply a calculation or estimation. Ok, one might say, that laws and 
constants change very slowly, so it is ok to regard them for being constant, 
but still there is a psychological aspect of somehow hovering futility of 
truth-inquiry. I guess, this psychological aspect is the reason for my 
reluctance against tychism. And the fact, that nobody ever has observed a 
change of e.g. light velocity, gravitation, electron resting mass, the number 
Pi, things like that. This is where my suspicion comes from, that tychism is an 
unjustified abduction from values that do change to all values in general. I 
admit, that I feel kind of sick from similar unjustified abductions, from 
Nietzsche (against all values) to nowadays rightwing libertarianism reminding 
me of Stirnerian anarcho-egocentrism. So I am quite sensitive about this topic, 
and, though very muchly treasuring Peirce, am not refraining from suspecting, 
that in this singular case (of tychism) he was wrong.

Best, Helmut
 6. Dezember 2025 um 17:51
 "Edwina Taborsky" <[email protected]>
wrote:
Helmut, list

The problem with ‘infinite inquiry’ and the concept of ’truth’ is that the 
former is..infinite..and the latter is…finite…These are two different worlds, 
so to speak. The infinite is purely intellectual [ pure Thirdness] a utopian 
cloud which will always find more angels on a pinhead, , and the finite 
includes all three categories - and particularly Secondness - which focuses on 
‘hic  et nunc’ realities. .

After all- if you want to find out the truth of a virus- then, the inquiry 
should be finite, because the truth of that virus is also finite. It is THAT 
virus and made up of THIS and THAT…etc.

And I think one has to be careful with the concept of ’truth’. It doesn’t mean 
some kind of a priori Form that we lesser mortals struggle for centuries to 
uncover. And again - if we declare that the search for truth is’infinite’ then, 
by definition, such a search is futile.

 Truth is a posteriori - that is, the identity of an entity [let’s say a new 
form of insect] is formed with the emergence of this entity..and its ’truth’ or 
operative nature, is examined within its realities.  That’s pragmatism.

I don’t see how accepting tychism as an active force in evolution and 
adaptation, ie, accepting chance deviations, ‘blocks the way of inquiry’. To 
assert that, suggests that you believe that Truth is a priori and that we 
cannot accept anything due to chance. But- After all- according to Peirce [ and 
of course, modern science], such chance deviations [ without any hint or 
connection to ’the possible or potential']..are the basis of evolution.

Edwina

On Dec 6, 2025, at 11:28 AM, Edwina Taborsky <[email protected]> wrote:



Begin forwarded message:

From: [email protected]
Subject: Aw: [PEIRCE-L] Truth and Reality (was Sign Tokens and Sign Types)
Date: December 5, 2025 at 9:05:25 PM EST
To: [email protected], [email protected]
Cc: [email protected]
Reply-To: [email protected],[email protected]

Ben, List,

I don´t think, that quantity and quality compete with each other easily. The 
number of questions asked is a quantity, that can not be reckoned against the 
capacity for answering them, because this capacity is not the sum of the 
respective capacities regarding each single question. This is so, because 
capacity to answer questions is only a little dependent on knowledge about the 
topics about which the questions are asked, and a lot more dependent on general 
ability of logical thinking. Which is a quality. I don´t see, that in all cases 
infinite inquiry would approach truth. What kind of truth anyway? Truth about 
the past is dependent on complete and reliable documentation, like a police 
investigation based on evidence. This is not given. Truth about the present 
depends on stable, unchanging parameters like laws and constants, to be gained 
knowledge of, because the process of gaining knowledge takes time, and if 
parameters meanwhile are changing, you again have the said problem of 
incomplete documentation (of what parameters had been like before). That is why 
I think, that belief in tychism blocks the way of inquiry, by exposing the 
pursue of truth as futile. In this case you only have the unchanging, 
quasi-tautological laws of pure logic for reference, but can´t apply them for 
anything. Not helpful. so I think, because I hope so, that tychism is a 
not-justified abduction from observed worldly changes.
Best, Helmut
5. Dezember 2025 um 14:29
 "Benjamin Udell" <[email protected]>
wrote:
Jon, list,

Peirce used the word "indefinite" as much closer, in signification, to "vague" 
than to "infinite".  It seems convenient to call indefinitely long times or 
distances infinite because of some part-way cognateness between the words, and 
because times or distances may seem infinite to us lowly mortals, and because 
Ancient Greek _apeiros_ seems to have been used in both senses "indefinite" and 
"infinite", and because, if there are any inquiries that seem interminable, 
still it seems quite plausible that intelligent beings will bag their answers 
after infinite time.

In F.R.L. (1899) http://www.princeton.edu/~batke/peirce/frl_99.htm , Peirce 
said that Auguste Comte said that we earthlings never would be able to discover 
the chemical composition of the stars, and that, very soon afterward, the 
spectroscope was invented ("discovered," quoth Peirce, very decidedly, I 
suspect) which soon enough revealed the chemical composition of the stars.  
Peirce usually thought in terms of a definite increase of knowledge after some 
actually elapsed definite time, given in advance a prospect of an indefinite 
amount of time to play with in the first place.  To say guarantee the final 
opinion after infinite time seems like unneeded cheating, anyway confusing to 
people new to Peirce.  Interestingly more precise would be to say what kind of 
question _would_ require an infinite time.  The "full meaning" or full final 
interpretant of one's spouse?  People mention the halting problem as maybe 
solvable (even deductively) with infinite time. The difference remains infinite 
between (A) finite, soever indefinite and soever prolonged or extended but 
still finite, and (B) infinite.

From Peirce 1885 unpublished till _Collected Papers_, "An American Plato" - 
Review: Josiah Royce
CP 8.43, also in Writings 6.  Note that Peirce took a somewhat cosmic view even 
as he discussed "questions asked," not questions _askable_ (expectably or 
imaginably or whatever).

BEGIN QUOTE
The problem whether a given question will ever get answered or not is not so 
simple; the number of questions asked is constantly increasing, and the 
capacity for answering them is also on the increase. If the rate of the latter 
increase is greater than that of the [former] the probability is unity that any 
given question will be answered; otherwise the probability is zero.
END QUOTE.

Peirce was discussing definite and finite amounts of time of actual discovery, 
and an indefinite amount of time in which to discover.  Peirce didn't promise 
that which Quine and others later wanted, an observable normal rate of progress 
in inquiries.  It's a question of contingent mental evolution, not of partly 
conditional but still pre-programmed vegetable growth.  Of course you know all 
that.  But the involvement of vague, indefinite future dates of discovery 
doesn't morph by itself into the involvement of infinities of inquiry.  Sorry, 
I'm repeating myself, I guess it's time for the old man to take a nap.

Thanks for the Peirce quote that you found, it's exactly the passage that I was 
thinking of.

It's interesting that Peirce, as you point out, did assert that there truth in 
mathematics, even though he seemed reluctant to go all-in on mathematics 
harboring the real. His usual definitions of truth and the real lock the two 
ideas together.  Well, the ideas are regulative, not speculative, but one 
suspects that Peirce would welcome a stronger argument for the real in 
mathematics. (It would be terminologically easier if we called the real numbers 
singulions and the complex numbers binions. Maybe not easier, what would we 
call the imaginary numbers?)

Best, Ben

On 12/3/2025 5:58 PM, Jon Alan Schmidt wrote:

Ben, List:

I changed the subject line to match the topics that your post addresses.

BU: I think Peirce seldom if ever wrote about the result of "infinite" inquiry. 
He said that inquiry pushed far enough or for long enough will reach the truth 
- sooner or later - but still inevitably.

We are using different terms but seem to be saying essentially the same thing. 
The pragmaticistic definition of truth as what an infinite community *would* 
affirm after infinite investigation is derived from Peirce's well-known 
statement, "The opinion which is fated to be ultimately agreed to by all who 
investigate, is what we mean by the truth, and the object represented in this 
opinion is the real" (CP 5.407, EP 1:139, 1878). In my own words, truth is the 
final interpretant of every sign whose dynamical object is a reality. 
Accordingly, what I am discussing is a real but potential or ideal infinity, 
not an actual infinity; again, a regulative principle and an intellectual 
hope--what Peirce sometimes calls a "would-be." He says so himself in the 
subsequent paragraph.

CSP: Our perversity and that of others may indefinitely postpone the settlement 
of opinion; it might even conceivably cause an arbitrary proposition to be 
universally accepted as long as the human race should last. Yet even that would 
not change the nature of the belief, which alone could be the result of 
investigation carried sufficiently far; and if, after the extinction of our 
race, another should arise with faculties and disposition for investigation, 
that true opinion must be the one which they *would ultimately* come to. "Truth 
crushed to earth shall rise again," and the opinion which *would finally* 
result from investigation does not depend on how anybody may actually think. 
(CP 5.408, EP 1:139, 1878; bold added)

Moreover, in his very next published article, he refers to "an *unlimited* 
community" and "a hope, or calm and cheerful wish, that the community may last 
*beyond any assignable date*," thus facilitating "the *unlimited *continuance 
of intellectual activity" (CP 2.654-5, EP 1:150, 1878; bold added). His further 
definitions of truth after the turn of the century reflect his even stronger 
embrace of scholastic realism, as well as his development of semeiotic. "Truth 
is that concordance of an abstract statement with the *ideal limit* towards 
which *endless investigation would tend* to bring scientific belief" (CP 5.565, 
1902; bold added). "Now thought is of the nature of a sign. In that case, then, 
if we can find out the right method of thinking and can follow it out,--the 
right method of transforming signs,--then truth can be nothing more nor less 
than the last result to which the following out of this method *would 
ultimately* carry us" (CP 5.553, EP 2:380, 1906; old added).

BU: As I recall, Peirce had doubts about the reality of things in mathematics, 
but he thought that some of those things imposed themselves on the mind with a 
forcefulness very like that of the real.

These might be the remarks that you have in mind.

CSP: The pure mathematician deals exclusively with hypotheses. Whether or not 
there is any corresponding real thing, he does not care. His hypotheses are 
creatures of his own imagination; but he discovers in them relations which 
surprise him sometimes. A metaphysician may hold that this very forcing upon 
the mathematician's acceptance of propositions for which he was not prepared, 
proves, or even constitutes, a mode of being independent of the mathematician's 
thought, and so a *reality*. But whether there is any reality or not, the truth 
of the pure mathematical proposition is constituted by the impossibility of 
ever finding a case in which it fails. (CP 5.567, 1902)

The realities that pure mathematicians study are not actualities (2ns) with 
which they react, but logical possibilities (1ns) that they imagine, along with 
necessary consequences (3ns) that they draw from them--some of which can be far 
from obvious when they initially formulate their hypotheses, and are thus 
surprising whenever they are discovered. Peirce's distinction between 
corollarial and theorematic (or theoric) reasoning comes into play here, even 
though both are deductive (e.g., see CP 7.204-5, EP 2:96, 1901; NEM 4:1-12, 
1901; CP 4.612-6, 1908; NEM 3:602, 1908). As a result, "Mathematics is purely 
hypothetical: it produces nothing but conditional propositions. Logic, on the 
contrary, is categorical in its assertions" (CP 4.240, 1902).

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

On Tue, Dec 2, 2025 at 1:33 PM Benjamin Udell 
<[email protected]><mailto:[email protected]> wrote: >

Jon, list,

I dip in for a moment, then vanish. I wanted to reply to posts by Edwina, 
Robert, and Ulysses but got busy as I do these days. I hope I'll get to those.

Jon, you wrote,

What an infinite community *would* affirm after infinite investigation is 
precisely how Peirce explicates the meaning of *truth* in practical 
terms--those beliefs whose corresponding habits of conduct *would* never be 
confounded by any *possible* future experience.

I think Peirce seldom if ever wrote about the result of "infinite" inquiry. He 
said that inquiry pushed far enough or for long enough will reach the truth - 
sooner or later - but still inevitably. The inquiry that continues 
indefinitely, by an indefinite community of inquirers, will attain, sooner or 
later, definite increase of knowledge. Each increase in actual knowledge 
occurs, as I understand it, at a finite remove from the inquiry's beginning, 
while you sound like you're discussing an actual infinity - e.g., an infinity 
of years or an infinity of one year's achieved subdivisions (sounds like it 
would get infinitely hot) - after which the truth is reached. I remember over 
10 or 15 years ago discussing on peirce-l with Clark Gobel the idea of an 
inquiry into the full meaning of one's wife, not just one's wife as a sign of 
this or that or the weather today, but as one's wife per se, as representing 
everything that one's wife may represent. I thought that such an inquiry was so 
open-ended that maybe it _would_ require an eternity of inquiry, like the final 
entelechy of the universe (or whatever Peirce called it) maybe because a real 
example of "full meaning" is somehow too 2nd-order semiosic, to be dealt with 
finitely. Well, Clark seemed not to like that idea, while I was thinking 
vaguely (indeed as I'm no expert) of Turing oracles and the like.

I ought to note that, as to the reality of undiscovered legisigns, Peirce 
himself seemed reluctant to assert the reality of things in pure mathematics - 
discovered or undiscovered. I've long much leaned in favor of it - maths as 
discovered, not invented. The mathematician Kronecker split the difference, 
saying that God created the integers, all the rest is the work of man. As I 
recall, Peirce had doubts about the reality of things in mathematics, but he 
thought that some of those things imposed themselves on the mind with a 
forcefulness very like that of the real. Unfortunately I lost the email drafts 
where I kept the quotes. Maybe one will need to allow of "grades" of realness. 
I have no idea how to do that in a non-handwaving way.

Best, Ben

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