Ben, Gary R., List,

Where do the presuppositions of logic belong within Peirce's classification of 
the parts of his semiotic theory?

It is helpful, I think, to consider the trajectory of Peirce's argumentative 
strategies as they take shape over the course of his early essays.  Starting 
with the arguments in "Questions Concerning Certain Faculties," Peirce 
articulates a number of presuppositions that are needed for the development of 
a theory of the validity of logical inference.  The presuppositions, I take it, 
are drawn from our common sense--including our conceptions of doubt, belief, 
reality, error and truth.  We find these conceptions at work in our ordinary 
acts of reasoning, and they are articulated in our logica utens.  As Peirce 
builds a theory of critical logic, which I take him to be doing in "Some 
Consequences of Four Incapacities" and "Further Consequences," the goal is to 
classify the main forms of inference and provide arguments that show the 
leading principles of inference are objectively valid.  As we reflect on the 
assumptions that are needed to for the sake of the arguments for the validity 
of the leading principles of inference, we draw on the nominal definitions of 
truth and falsity for the sake of clarifying our logical conceptions of the 
starting and ending points of experimental inquiry.  In "The Fixation of 
Belief," Peirce turns from questions about the objective validity of the 
leading principles to the question of why I should be logical.  In "How to Make 
our Ideas Clear" he articulates and defends the pragmatic maxim.  In doing so, 
he is trying to show philosophers how to follow the cue of practicing 
scientists as we seek to arrive at a higher degree of clarity with respect to 
the conceptions that are part of our philosophical hypotheses.

The conceptions of the starting and ending points of inquiry that are 
articulated in "Consequences" are not contingent psychological truths.  Rather, 
they are corollaries of the meanings that have been assigned to the conception 
of valid logical implication by Peirce's critical logic.  At this point, we are 
ready to move from the nominal definitions of truth, falsity and reality to 
more robust real definitions.  The movement from the nominal to the real 
definitions is guided, I take it, by an awareness of the requirements that must 
be met for the sake of developing reasonable hypotheses.  As such, the 
pragmatic maxim (as a rule that is already a part of our logica utens), is 
guiding the inquiry.  

The speculative rhetoric is, at least in part, a theory of what is needed to 
accomplish the goals that are set by the conception of the terminal point of 
inquiry.  We could ask:  where do the conceptions of doubt, belief, reality, 
error and truth belong?  Are they part of the critical logic, or are they part 
of the speculative rhetoric.  I tend to think that these common sense 
conceptions that are already at work in our logica utens are developed and 
refined within the context of both of these theories.  I also think that the 
first rule of reason and the principle of continuity are very much part of our 
common sense, and that they have been growing in their significance over the 
course of the last few thousand years as human beings have refined their 
capacities for self-controlled inference and have developed more organized 
communities of scientific inquiry.  Hence the importance of Socrates explaining 
in the Apology that the first rule of reason is, for him, the first of his 
commitments as an inquirer.

This doesn't answer the question of how we might order these three principles 
of speculative rhetoric.  It also doesn't answer the question of how we might 
arrive at a more complete statement of all of the principles that are really 
part of the theory.  Having said that, I do agree with the suggestion that the 
first rule of logic is first because it is needed for the sake of articulating 
the questions that give impetus to inquiry.  The principle of continuity guides 
us as we seek to develop the kinds of hypotheses that will not close the door 
on further inquiry.  The pragmatic maxim establishes the requirement that any 
hypothesis be the kind of thing that could--practically speaking--be put to the 
test.  That is an over-simplification of the matter, but I hope it does capture 
part of the gist of how they are related.

--Jeff

PS  As I have mentioned before, I find Richard Smyth's reconstruction of these 
essays in <Reading Peirce Reading> to be remarkably helpful and insightful.

Jeff Downard
Associate Professor
Department of Philosophy
NAU
(o) 523-8354
________________________________________
From: Gary Richmond [[email protected]]
Sent: Tuesday, April 29, 2014 9:19 AM
To: Benjamin Udell
Cc: Peirce-L
Subject: Re: [PEIRCE-L] de Waal Seminar: Chapters 7 & 8

Ben,

Thanks for the clarification. One question: where in the Classification of the 
Sciences, then, would you put the presuppositions of logic? Or, is that the 
wrong question given that, for example, the 3 ways of fixing belief other than 
the method of science don't seem to belong in the the Classification, at least 
not among the Sciences of Discovery. Maybe, in the Sciences of Review (which 
for Peirce includes some of philosophy of science)?

Best,

Gary

Gary Richmond
Philosophy and Critical Thinking
Communication Studies
LaGuardia College of the City University of New York


On Tue, Apr 29, 2014 at 11:02 AM, Benjamin Udell 
<[email protected]<mailto:[email protected]>> wrote:

Gary R., Jeffrey D., Michael S., list,

Very nicely put together, Gary. Just one thing, sorry I wasn't clear enough, I 
didn't mean that the presuppositions of logic may belong in methodeutic (a.k.a. 
speculative rhetoric), I meant just that the First Rule of Logic (or of Reason) 
may belong in methodeutic (a.k.a. speculative rhetoric).

Now, when it comes to forming an argument, the difference is important between 
what is granted (the premisses) and what remains to be granted (the thesis). 
This raises a question of ordering. For example, Peirce said that logic is 
rooted in the social principle and, at another time, said that the social 
principle is rooted in logic. The first rootedness might be taken as being in 
the _ordo cognoscendi_, and the second as being in the _ordo essendi_.  
However, if the First Rule of Logic is first in the _ordo cognoscendi_ in 
logic, then that would suggest it to be last in the _ordo essendi_ in logic. I 
suppose that one could split the difference: see it as first in the _ordo 
essendi_ in methodeutic, and see methodeutic as the first in the _ordo 
cognoscendi_ in logic.

This kind futzing around that I'm doing makes me want to throw my hands up and 
go back to the view that the First Rule is simply in the presuppositions of 
logic, and consists in fallibilism conjoined with cognizabilism about the real, 
stated with particularly normative and assertoric force, from within those isms 
so to speak (whereas on the other hand in "Fixation" the idea for example that 
there are reals is treated as a hypothesis), and sometimes in methodological 
terms. At any rate, that it requires the idea of inquiry doesn't automatically 
entail that it belongs in methodeutic, which is about inquiry, yes, but inquiry 
conceived in more detail, in its rivalry of methods (including the three 
unscientific methods in "Fixation") and in the cyclical but recursive interplay 
of modes of argument in scientific method.

Best, Ben

On 4/28/2014 9:34 PM, Gary Richmond wrote:

Jeffrey, Ben, Michael, List,

Jeff asks if the PM, the first rule of logic, and the principle of continuity 
are ordered within Peirce's methodeutic in some way and, if so, how they fit 
together. Good question.

My first thought is that these three may not even exhaust Peirce's speculative 
rhetoric (== methodeutic). So, the first matter to get clear on is, I believe, 
how exactly does Peirce conceive of speculative rhetoric (and I think that that 
very term juxtaposed with what is intended to be its equivalent, viz., 
methodeutic , needs to be at least a bit more fully analyzed)?

As early as The New List Peirce gives this description of what will later come 
to be seen by him as the third branch of logic as semeiotic.

[T]he third [branch] would treat of the formal conditions of the force of 
symbols, or their power of appealing to a mind, that is, of their reference in 
general to interpretants, and this might be called formal rhetoric.

Much later, in 1902, Peirce introduces a new term for this third branch, 
Transuasional logic, which he makes equivalent to Speculative Rhetoric, which 
he says is "substantially" the same as methodology (or, methodeutic).

Transuasional logic, which I term Speculative Rhetoric, is substantially what 
goes by the name of methodology, or better, of methodeutic. It is the doctrine 
of the general conditions of the reference of Symbols and other Signs to the 
Interpretants which they aim to determine.

So, over the many years separating those two descriptions, what remained the 
same was the reference of symbols and other signs to their interpretants, the 
rhetorical aspect, and this would appear to be the uniquely Peircean way of 
conceiving methodology.

Still, it is clear from a number of other statements that a theory of inquiry 
(or, as Phyllis recently put it, a theory of learning) is meant to be the 
crowning jewel of logic, and that, perhaps is the methodeutical aspect of the 
third branch. But the two are one for Peirce.

As for the ordering of the principles, as Ben has recently suggested, the first 
rule of logic--the desire to learn the truth--should most probably be placed 
first. Apparently he originally thought, at the head of or even preceding the 
first branch of logic as one of the presuppositions of  it. As he wrote:

BU: In the Carnegie application (1902), the presuppositions of logic [such as 
fallibilism]

http://www.cspeirce.com/menu/library/bycsp/l75/ver1/l75v1-04.htm precede even 
the definition and division of logic.

But Ben seems to be moving in the direction of thinking that, while these 
presuppositions perhaps should be learned before one plunges into even the 
first branch of logic, that it yet has a "distinctly methodeutical flavor," in 
which case it should be probably be placed first in the ordering of the content 
of the third branch of logic, speculative rhetoric. In this understanding, one 
discovers these presuppositions in methodeutic and then uses them everywhere.

Michael has argued for continuity as being essential to pragmatism and 
structuralism, and I agree, a least as to pragmatism. However, I do not think 
that his recent excellent exegesis of Peirce's understanding of continuity as 
offered in the 1898 Cambridge Conference Lectures demonstrates that (and I have 
one important bone to pick with his analysis which I'll leaver that to a future 
post). Perhaps Michael intends to make those connections of continuity to 
pragmatism and structuralism more explicit in a future message.

Meanwhile, I would for now add only that Peirce makes of continuity in the 
logical sphere a social matter ("Logic is grounded in the social principle").

CP 5.402 When we come to study the great principle of continuity and see how 
all is fluid and every point directly partakes the being of every other, it 
will appear that individualism and falsity are one and the same. Meantime, we 
know that man is not whole as long as he is single, that he is essentially a 
possible member of society. Especially, one man's experience is nothing, if it 
stands alone. If he sees what others cannot, we call it hallucination. It is 
not "my" experience, but "our" experience that has to be thought of; and this 
"us" has indefinite possibilities.

Matters relating to continuity seen in this way--inquiry as a social 
matter--might find a place somewhere near the middle of methodeutic, but this 
is just a guess. It could be earlier on, say, in the presuppositions of logic. 
On the other hand, it may need its own separate treatment. For example, 
consider this remark from "What Pragmatism Is":

[I hold a theory] that continuity is an indispensable element of reality, and 
that continuity is simply what generality becomes in the logic of relatives, 
and thus, like generality, and more than generality, is an affair of thought, 
and is the essence of thought.

Since this message is getting a little long, I will only say for now, and 
without argumentation, that I think the pragmatic maxim ought to be placed at 
the penultimate moment in speculative rhetoric, helping to prepare the way for 
a clarified, purified, and strictly scientific approach to metaphysical 
analysis following upon an adequate method of inquiry.

So, since Peirce says in several places that the PM can be seen as a summary 
statement of experimental design, there is, in my opinion, a necessary place 
for the analysis of "a complete inquiry" in methodeutic, one involving the 
three relations of hypothesis generation, deductions following from a given 
hypothesis, and the inductive testing of the hypothesis based on the 
construction of an experiment based on what can be deduced from that hypothesis 
(note how different this is from the analysis of the three distinct inferences 
patterns in critical logic; there they are taken up individually, not yet 
considered in their relational roles in inquiry). So, while I'm not fully clear 
on this yet, it seems to me that the question of what goes into a complete 
inquiry ought to close the third branch of logic as semeiotic.

Best,

Gary

Gary Richmond
Philosophy and Critical Thinking
Communication Studies
LaGuardia College of the City University of New York

On Mon, Apr 28, 2014 at 1:12 PM, Benjamin Udell wrote:

Jeffrey D., list,

I've wanted to take Peirce literally about the FIRST rule of logic or 
reasoning, but the CP editors seem to treat it as methodeutical (i.e., 
belonging in logic's third department). In Volume 5 "Pragmatism and 
Pragmaticism," Book 3 "Unpublished Papers", one finds
 Chapter 6: Methods for Attaining Truth
 §1. The First Rule of Logic [5.574-589 - this is not "F.R.L.', titled "First 
Rule of Reasoning" by eds., 1.135-140]
 §2. On Selecting Hypotheses

The First Rule of Logic, in its "F.R.L." version 
(http://web.archive.org/web/20120106071421/http://www.princeton.edu/~batke/peirce/frl_99.htm<http://web.archive.org/web/20120106071421/http://www.princeton.edu/%7Ebatke/peirce/frl_99.htm>
 
<http://web.archive.org/web/20120106071421/http://www.princeton.edu/%7Ebatke/peirce/frl_99.htm
 >) pertains to the presuppositions of logic, involving the embrace of 
fallibilism and discoverability. In the Carnegie application (1902), the 
presuppositions of logic 
http://www.cspeirce.com/menu/library/bycsp/l75/ver1/l75v1-04.htm precede even 
the definition and division of logic. (See the Table of Contents 
http://www.cspeirce.com/menu/library/bycsp/l75/ver1/toc.htm ).

But I have to admit that the First Rule has a distinctly methodeutical flavor. 
Skimming around, I don't at the moment find a discussion along the lines of 
"F.R.L." in the Carnegie application.

Best, Ben

On 4/28/2014 11:45 AM, Jeffrey Brian Downard wrote:

Gary R., List,

The pragmatic maxim is part of Peirce's speculative rhetoric.  How does this 
rule of reasoning relate to the other principles that are also part of the 
speculative rhetoric?  For example, in the Cambridge Lectures of 1898, he 
articulates two additional principles.  I assume that both are part of his 
methodeutic.  One is the first rule of logic.  The other is the principle of 
continuity.

Are these three principles ordered in some fashion?  I assume that, given its 
name, the first rule of logic has priority over the others.  How do three rules 
fit together?

Given the ordering and relations between the principles, how should the first 
rule of logic and the principle of continuity shape the proper use of the 
pragmatic maxim?

--Jeff

Jeff Downard
Associate Professor
Department of Philosophy
NAU
(o) 523-8354
________________________________________

From: Gary Richmond [[email protected]<mailto:[email protected]> ]
Sent: Sunday, April 27, 2014 5:54 PM
To: Stephen C. Rose
Cc: [email protected]<mailto:[email protected]>
Subject: Re: [PEIRCE-L] de Waal Seminar: Chapters 7 & 8

Stephen, Michael, Gene, List,


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