Good One!
That reminds me, I should probably correct what I wrote before to say
that the definition of "formal" figures prominently in the definition
of logic as formal semiotics, but not essentially in the definition of
semiotics itself, which has both descriptive and normative subdivisions.
Jon
Benjamin Udell wrote:
Aye, and let's recall Peirce's definition of "normal"
"...the 'normal' is not the average (or any other kind of mean) of what
actually occurs,
> but of what _would_, in the long run, occur under certain circumstances."
> - c. 1909 MS, _Collected Papers_ v. 6, paragraph 327.
Best, Ben
----- Original Message -----
From: Jon Awbrey
To: PEIRCE-L@LISTSERV.IUPUI.EDU
Sent: Tuesday, November 08, 2011 12:30 AM
Subject: Re: [peirce-l] “On the Paradigm of Experience Appropriate for Semiotic”
Peirce used the word "formal" in a couple of senses, the first of which
is closer to its general meaning of "concerned with form", and here he
can mean either the forms of objects or the forms of syntax, whereas
the tradition following Russell tends to focus on syntax exclusively.
In that sense of "formal", Peirce's concept of logic as formal semiotic
would incorporate both the syntactic or proof-theoretic forms of Russell
and the semantic or model-theoretic forms of Tarski.
But Peirce also used the word "formal" in another, more specialized sense,
in which it became the practical equivalent of "normative". In that sense,
his definition of logic as formal semiotic places logic within the sphere
of the normative sciences, where it normally belongs.
Jon
CC: Arisbe, Inquiry, Conceptual Graphs, Peirce List
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