Sorry about the typo I missed (“meniotics”, fixed below).

I should also add that normative logic (not formal logic) must be deployed by 
all sciences (including semeiotic) in the stage of their inquiry where they are 
obliged to test the truth of the inferences they make against their 
observations — also, I think, in the abductive stage where they have to decide 
whether a hypothesis is worth testing or not. So in that sense normative logic 
is a prerequisite for all inquiries other than mathematics and phaneroscopy. 
When we focus too much on Peirce’s top-down classification of sciences, we 
sometimes forget the circularity of the inquiry process.

Gary f.

 

From: g...@gnusystems.ca <g...@gnusystems.ca> 
Sent: 9-Mar-19 10:31



Jon, Gary R, John, list,

JAS: … Semeiotic as a generalization of normative logic to encompass all kinds 
of Signs, not just Symbols; i.e., Speculative Grammar.  Again, it is normative 
because it studies "what must be the characters of all signs used by a 
'scientific' intelligence, that is to say, by an intelligence capable of 
learning by experience" (CP 2.227; c. 1897, emphasis in original).

Peirce emphasized “must be,” but he does not refer to “normative” science at 
all in the passage you quote. You put the “normative” label on what Peirce says 
here, and when you do that — especially in the phrase “Normative Logic as 
Semeiotic” — you water down the signification of the word to the point where it 
almost evaporates. A normative science for Peirce (and as far as I know, for 
anyone who uses the word regularly) is one whose essence is to make dualistic 
judgments distinguishing good from bad, true from false, right from wrong, etc. 
What Peirce is referring to here is not normative science but, more broadly, 
positive science (as opposed to mathematics, which deals with hypothetical 
objects and thus does not learn from experience of the actual world). Here’s 
the context: 

[[ Logic, in its general sense, is, as I believe I have shown, only another 
name for semiotic (σημειωτικη), the quasi-necessary, or formal, doctrine of 
signs. By describing the doctrine as “quasi-necessary,” or formal, I mean that 
we observe the characters of such signs as we know, and from such an 
observation, by a process which I will not object to naming Abstraction, we are 
led to statements, eminently fallible, and therefore in one sense by no means 
necessary, as to what must be the characters of all signs used by a 
“scientific” intelligence, that is to say, by an intelligence capable of 
learning by experience.  ] CP 2.227]

Logic as Semeiotic is Logic in this broad sense. Logic as normative , i.e. 
logical Critic, is one of three branches of that, as Peirce explains:

[[ The speculative rhetoric that we are speaking of is a branch of the 
analytical study of the essential conditions to which all signs are subject,— a 
science named semeiotics, though identified by many thinkers with logic. In the 
Roman schools, grammar, logic, and rhetoric were felt to be akin and to make up 
a rounded whole called the trivium. This feeling was just; for the three 
disciplines named correspond to the three essential branches of semeiotics, of 
which the first, called speculative grammar by Duns Scotus, studies the ways in 
which an object can be a sign; the second, the leading part of logic, best 
termed speculative critic, studies the ways in which a sign can be related to 
the object independent of it that it represents; while the third is the 
speculative rhetoric just mentioned. ] EP2:326 ]

Belluci quotes a similar passage in which logic (in the narrow sense) is named 
as a “department” of semeiotic: 

[[ it will be necessary for the present and for a long time to come to regard 
logic, not as a distinct science, but as only a department of the science of 
the general constitution of signs,— the physiology of signs,— cenoscopic 
semeiotics. For if we roughly define a sign as a medium of communication, a 
piece of concerted music is a sign, and so is a word or signal of command. Now 
logic has no positive concern with either of these kinds of signs, but it must 
concern itself with them negatively in defining the kind of signs it does deal 
with; and it is not likely that in our time there will be anybody to study the 
general physiology of the non-logical signs except the logician, who is obliged 
to do so, in some measure. ] R 499 ISP 17-19, 1906 ]

Peirce says here that it is up to logicians to study cenoscopic semeiotics — 
not that semeiotics replaces logic, but that it supervenes on logic. Thus it is 
quite misleading to claim that in Peirce’s classification, Semeiotic replaces 
Logic as a normative science. It is more accurate to say that Logic in the 
broad or “general” sense is coterminous with Semeiotic, and Logic in the narrow 
sense (Critic) is the normative part of that. None of the passages that you 
have quoted in defense of that claim even mention “semeiotic”, or any variant 
spelling of it, or any equivalent term such as “theory of signs,” in connection 
with Logic as a normative science. “Normative Logic as Semeiotic” is a chimera 
of your own invention, Jon.

Gary f.

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