Helmut, I've been trying to get back to your message of 4/12/2020 under the subject line "Categories and Speculative Grammar", but I'll reply under Robert's original subject line as the profusion of titles has been derailing my train of thought. Some of the material you allude to below has gone missing off the live web, and the fragments I can still find need a bit of reformatting, so I'll go address those issues and return to these questions as soon as I can.
Regards, Jon On 4/12/2020 3:21 PM, Helmut Raulien wrote:> Jon, All, > I vaguely remember about irreducibility and reducibility something like, that > a triad is compositionally (or another adverb with "c") not reducible to dyads, > but projectively is, usually, the triad being ABC, to AB, BC, and AC. Now, in > the case of sign it is different: The (projective or whatever) reducibility goes > SS, SO, SI. What is missing here, would be OI, at least in Peircean theory, > while in Ogden/Richard´s theory a relation between object and interptretant does > exist. I think it is called "meaning", obviously being some ontological thing, > while with Peirce a meaning without a sign´s partaking can not exist. I hope I > have not gotten it totally wrong now. > Anyway, I feel that a sign relation is a triadic relation, but a quite special > kind of such. Its special way of being able to be projectively reduced to dyads > opens ways of relations based on projection (or whatever) consisting of more > than three: Six, to start with, but really as many as you will, as every > secondness (DO, DI) may analytically be splitted into two more, and every > thirdness (FI) into three more. > Is that probably so? > Best, > Helmut > *Gesendet:* Sonntag, 12. April 2020 um 15:36 Uhr > *Von:* "Jon Awbrey" <[email protected]> > *An:* "Jon Alan Schmidt" <[email protected]>, "robert marty" > <[email protected]>, [email protected] > *Betreff:* [PEIRCE-L] Re: Categories and Speculative Grammar > Jon, All ... > > Jon Alan Schmidt wrote: >> Every proposition is *collective* and *copulative*; as I stated in a recent post >> ( https://list.iupui.edu/sympa/arc/peirce-l/2020-03/msg00028.html ), >> its dynamical object is "the entire universe" (CP 5.448n, EP 2:394, 1906), >> which is "the totality of all real objects" (CP 5.152, EP 2:209, 1903), >> while its immediate object is "the logical universe of discourse" >> (CP 2.323, EP 2:283, 1903). > > Thanks for calling attention to this point. I'm occupied with another train > of thought at the moment so I'll just stop to flag it for a later discussion. > Incidentally, or synchronistically, lack of care in distinguishing different > objects of the same signs, in particular, immediate and ultimate objects and > their corresponding universes or object domains, has been the source of many > misunderstandings in scattered discussions on Facebook of late. > > Another issue arising here has to do with the difference between the > "dimension of a relation" and the "number of correlates". Signs may > have any number of correlates in the object domain without requiring > the dimension of the relevant sign relation to be greater than three. > This is one of the consequences of "triadic relation irreducibility". > > Regards, > > Jon >
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