Ben, Jeff, lists, Not all ordered triples are ordered as specified by Peirce (as you have nicely summarized) and hence capable of semiosis. The simplest way to define Peirce's irreducible triad seems to me to be in terms of the "commutative triangle" or "category". In other words, there are two kinds of ordered triples --
(i) those whose elements satisfying the commutative condition of the category theory, and (ii) those that do not. The former may be what Peirce called the 'genuine triad' and the latter may be identified with his 'degenerate' triad (that I vaguely remember reading somewhere but do not have the right reference; does anyone on these lists have one ?). With all the best. Sung On Wed, Jan 28, 2015 at 12:07 PM, Benjamin Udell <[email protected]> wrote: > Jeff, Jon, lists, > > I think that all that is required for an ordered triple, or an ordering of > any length, is a rough notion of 'more' or 'less', for example an ordering > of personal preferences, and this is enough for theorems, for example > http://en.wikipedia.org/wiki/Arrow%27s_impossibility_theorem. Exact > quantities are not required. In the case of object, sign, interpretant, > insofar as the object determines the sign to determine the interpretant to > be determined by the object as the sign is determined by the object, the > order of semiotic determination is 'object, sign, interpretant', although > object, sign, interpretant are not to be understood as acting like > successive falling dominoes. > > Best, Ben > > On 1/27/2015 2:08 PM, Jeffrey Brian Downard wrote: > > [....] > Here is the starting question: Doesn't the notion of an ordered triple > require that we already have things sorted out in such a way that we are > able to ascribe quantitative values to each subject that is a correlate of > the triadic relation? > [....] > > > > ----------------------------- > PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON > PEIRCE-L to this message. PEIRCE-L posts should go to > [email protected] . To UNSUBSCRIBE, send a message not to PEIRCE-L > but to [email protected] with the line "UNSubscribe PEIRCE-L" in the > BODY of the message. More at http://www.cspeirce.com/peirce-l/peirce-l.htm > . > > > > > > -- Sungchul Ji, Ph.D. Associate Professor of Pharmacology and Toxicology Department of Pharmacology and Toxicology Ernest Mario School of Pharmacy Rutgers University Piscataway, N.J. 08855 732-445-4701 www.conformon.net
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