Gary R., Gary F., André, List,

Peirce makes two suggestions for doing phenomenology, and both are reflected in 
the place he gives this kind of science in his architectonic.

1)  We should ask:  what formal categories must be in experience in order to 
make valid synthetic inferences from the things we've observed?  Or, putting 
the question in a more particular form:  what formal elements must be in the 
observations we made of some surprising phenomenon in order to draw a valid 
adductive inference to an explanatory hypothesis?  The same kind of question 
could be asked about inductive inferences from a set of data.

2)  In order to answer this question, we should look to math and see what kinds 
of mathematical conceptions and principles might be borrowed from this science 
so as to give us insight into those formal features of the phenomena we observe.

These suggestions are reflected in Peirce's placement of phenomenology between 
math and the normative theory of logic.

In order to see why these suggestions might be helpful for understanding 
Peirce's theory of phenomenology (i.e., phaneroscopy), I'd suggest that we take 
up a sample problem.  Here is a question that mattered much to Peirce.  What 
kinds of observations can we draw on in formulating hypotheses in the theory of 
logic about the rules of valid inference?  Peirce's answer to this question is 
that we are able to make a distinction between valid and invalid inferences in 
our ordinary reasoning, and that we can classify different kinds of inferences 
as deductive, inductive and adductive.  The process of drawing on our logica 
utens in making arguments and reflecting on the validity of those arguments 
supplies us with the observations that are needed to get a theory of critical 
logic off the ground.

As we all know, any kind of scientific observation we make might contain one or 
another kind of observational error.  As such, we have to ask the following 
questions. Once we have a set of observations in hand, how should we analyze 
them?  What is more, how can we correct for the observational errors we might 
have made?  We could frame the same kinds of questions about the study of 
speculative grammar as I've stated for a critical logic.  For my part, I'm 
working on the assumption that Peirce's analysis of the elements of experience 
is designed to help us give better answers to these kinds of questions than we 
are able to get from other philosophical methods--including those of Kant, 
Hamilton, Mill, Boole, etc.  

The study of icons, I take it, is part of a general strategy of thinking more 
carefully about question (1) listed above.  Gary R., are you thinking about 
"iconoscopy" or "imagoscopy" differently?  I think that the careful study of 
icons can be especially helpful in setting up a theory of logic because of the 
essential role that icons have in the process of making of valid inferences.

With this much said, let me ask a question that I think is really basic for 
understanding Peirce's phenomenology:  is there any kind of formal relation 
between the parts of a figure, image, diagram (i.e., any hypoicon) that does 
not have the form of a monad, dyad or triad?  That is, take the space in which 
a diagram or other figure might be drawn, and take the relations between the 
parts of any diagram (both actual and possible), and ask yourself:  how are the 
actual parts of the token diagram connected to each other and to all of the 
possible transformations that might be made under the rules that are used to 
construct and interpret the diagram?  Is there any formal relation between the 
parts of the diagram and the space in which it is constructed that does not 
have the character of a monadic, dyadic or triadic relation?

We see that Peirce makes much of the role of icons in necessary reasoning, 
including the necessary reasoning by which mathematicians deduce theorems from 
the hypotheses that lie at the foundations of any given area of mathematics.  
The suggestion I'm making is based on the idea that icons have a similarly 
essential role in the framing of a hypothesis and the drawing of an inductive 
inference.  Do you know of a place where Peirce argues this kind of point?  One 
sort of place that comes to my mind is the discussions he provides of the 
process of formulating hypotheses in mathematics.

--Jeff

Jeff Downard
Associate Professor
Department of Philosophy
NAU
(o) 523-8354
________________________________________
From: Gary Richmond [[email protected]]
Sent: Saturday, August 16, 2014 11:15 AM
To: Peirce-L; Gary Fuhrman; André De Tienne
Subject: [PEIRCE-L] Phaneroscopy, iconoscopy, and trichotomic category theory

Gary, list,

I suppose I expected--or at least, hoped--that Gary F. would respond to my post 
on some of the issues we'd been discussing recently regarding phenomenology, a 
topic of some considerable interest to both of us and, hopefully, to others on 
the list as well. So, in an off-list email to him I expressed this hope, and 
Gary wrote back in a message he said I could reproduce here. (I've interleaved 
my own comments within the substantive parts of that message)

I’ve already agreed that iconoscopy is probably the only way to make 
phaneroscopy scientific, if its formulations themselves are scientific.

I would concur, especially if your qualification is met. But, for now, 
iconoscopy is the subject of but a single, as far as I can tell, unpublished 
article by Andre de Tienne (who, as I earlier suggested, thought the term 
'iconoscopy' didn't exactly catch his meaning, that something like 'imagoscopy' 
might come closer). There were also several discussions of de Tienne's ideas in 
2009 (as interest was shown in then by Martin Lefebvre, myself, and others) and 
again in 2011 when both Gary F. and I discussed them in the slow read of Joe's 
paper, "Is Peirce a Phenomenologist?" See: 
https://www.mail-archive.com/[email protected]/msg00043.html

Still, the idea of this second phenomenological science seems sound to me, and 
even necessary. Continuing:

But I don’t have a proper response to this:
So what exactly are "the elements of the phaneron" once one's stated the 
obvious, that is, the three universal categories?
I don’t think that’s obvious at all, or maybe I don’t get what you mean by 
“obvious” here. It’s not even obvious to many list members what it means that 
the three “categories” are “universal”. So I’m stumped for an answer to that 
question.

Hm. I guess I'm stumped by your being stumped. It may be that some, perhaps 
many, list members don't 'get' Peirce's categories at all, let alone see them 
as 'universal'. But some people do observe "the elements of the phaneron" and 
do see them as universal. I would even suggest, by way of personal example, 
that I saw them before I was even exposed to Peirce's writings, and before I 
could give them names (certainly not firstness, secondness, and thirdness, but, 
perhaps, something vaguely approaching something, other, medium). This is 
merely to say that, if Peirce is correct and that the elements of the phaneron 
are truly universal, then there's no reason why anyone attuned to that kind of 
observation shouldn't and couldn't have touched upon them before having 
Peirce's precise and helpful names for them.

Phenomenology is admittedly a difficult science to grasp and even more 
difficult to 'do', so I can imagine that many folk, including many 
philosophers, haven't developed, or fully developed, the kinds of sensibilities 
and abilities which Peirce thought were essential in doing this science--that 
is, they haven't developed them any more than, for example, I've developed some 
of the mental skills necessary for taking up certain maths. But, as to our 
interests and talents, vive la difference!

Also it’s still not clear to me how “category theory” or “trichotomic” is 
related to phaneroscopy and iconoscopy, or why it’s part of Peircean 
“phenomenology” (rather than logic or semiotic, or even methodeutic). It seems 
to take the results of phaneroscopy (as articulated by iconoscopy, I suppose) 
and apply them to the analysis and classification of more complex phenomena 
such as semiotic processes. If so, then it should be subordinate to 
phenomenology in the classification of sciences, not part of it.

Here I must completely disagree. While it is true that trichotomic can and will 
be applied in principle to semiotic, it is my opinion--well, more precisely, my 
experience--that trichotomies are discovered in phenomenological observation. 
And I personally have no doubt that Peirce observed them in this way. It may be 
that one needs a kind of logica utens to sort out some of these structures 
after the fact of the observation of them, but, for example, it is possible in 
observing many phenomena, to 'see' that firstness, secondness, and thirdness 
form a necessary trichotomy within them,so to speak; and that 'something', 
'other', 'medium' requires a vectorial progression from 1ns, through 2ns, to 
3ns, and in precisely that (categorial, in this case, dialectical) order.These 
are, of course, two of the most basic expressions of (a) trichotomic and (b) 
vectorial progression. At the moment I can see no other place for the 
observation of such trichotomic structure and the establishing of this as a 
principle for the use by sciences which follow phenomenology except at the end 
(the putative third division) of it.

In logic, of course, Peirce considers diagrams more essential than language; 
but I don’t see how diagrams can be used in phenomenology to avoid language, so 
I don’t have a useful suggestion for doing that either, although I wouldn’t 
want to say that it can’t be done. I was hoping somebody else would have a 
better response.

But certainly very many, perhaps most, diagrams of considerable value to and 
use in science necessarily require language, or use language as an adjunct. 
This, for example, is the case for some of the trichotomic diagrams Peirce 
offers in certain letters to Lady Welby. The diagrams I use in trikonic are 
meant, first, to show the categorial associations of the terms of a genuine 
trichotomic relationship (those icons/images identified in what might be called 
an iconoscopic observation, then given names) and, second, to show the possible 
vectors (or paths) that are possible--and, some times, evident-- in some of 
them. A logica utens allows one to extrapolate rather far in this vectorial 
direction, in my opinion. But such a use of logica utens is the case in 
theoretical esthetics and ethics as well. Ordinary logic (logica utens) need 
not and probably cannot be avoided in the pre-logical (i.e., pre-semiotic, 
pre-logica docens) sciences.

If any of the above is useful as a prompt for a further explanation of 
“category theory”, feel free to quote it and reply with a correction! 
Meanwhile, yes, I am busy with a number of things these days …

Yes, your remarks have been at least personally useful, especially in seeing 
that until the first two branches of phenomenology, phaneroscopy and, 
especially, iconoscopy, are much further developed, trichotomic category theory 
will lack a solid basis. Still, important science has been accomplished in all 
the post-phenomenological sciences without this grounding and I expect this to 
happen in trichotomic as well.

Peirce clearly saw the categories as a kind of heuristic leading him to a vast 
array of discoveries along the way. It is not surprising, then, that late in 
life he settled on an essentially trichotomic classification of the sciences. 
It seems to me that if one allows for a second phenomenological science, 
iconoscopy, that it makes sense to at least look for yet a third one--perhaps 
especially in this science which discovers three universes of experience.

And further, it seems to me that the first of the semiotic sciences, 
theoretical or semiotic grammar, gets one of its most important principles, 
namely, trichotomic structure (cf. object/sign/interpretent; 
qualisign/sinsign/legisign; icon/index/symbol; rheme, dicent, argument; the 
trichotomic structure of the 10-adic classification of signs; etc.) not out of 
thin air, but from some science preceding it according to Comte's principle of 
the ordering of the sciences, that those lower on the list drawn principles 
from those above them.

Suffice it to say for now that in my opinion trichotomic category theory ought 
be placed in phenomenology, not further down in the classification of the 
sciences (Gary, you suggested methodology, which makes no sense to me at all), 
And, rather than being "subordinate to phenomenology," it seems to me that, 
within phenomenology, and at the conclusion of it, that it provides exactly the 
bridge leading to the normative sciences, but especially to semiotic grammar.

Best,

Gary

Gary Richmond
Philosophy and Critical Thinking
Communication Studies
LaGuardia College of the City University of New York
C 745
718 482-5690<tel:718%20482-5690>
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