Jeff, List:
Indeed, many of the relations that are symbolically (i.e.,
triadically) *represented
*by names in EG (as well as GrIn and SG) are monadic or dyadic, as
iconically signified by their having only one or two lines of identity
attached to them. However, every aspect of EG *itself *is triadic as I
spelled out, as long as scrolls are used (as in GrIn and SG) rather than
dyadic cuts/ovals.
Regards,
Jon S.
On Wed, Feb 17, 2021 at 9:51 PM Jeffrey Brian Downard <
jeffrey.down...@nau.edu> wrote:
> Jon, List,
>
> On its face, the claim that "Every aspect of EG (as well as GrIn and SG)
> is triadic" sounds like an overgeneralization.
>
> Insofar as an argument is represented in the system, it has the character
> of a thoroughly genuine triadic relation. Having said that, some of
> the signs scribed on a sheet of assertion represent monadic and dyadic
> relations.
>
> Given the efforts Peirce has devoted to the study of dyadic relations in
> two-valued extensional systems of first intention, it should be pretty
> obvious that they play a similarly important role in higher-order logics
> such as the gamma system of the EG's.
>
> --Jeff
> Jeffrey Downard
> Associate Professor
> Department of Philosophy
> Northern Arizona University
> (o) 928 523-8354
> ------------------------------
> *From:* Jon Alan Schmidt <jonalanschm...@gmail.com>
> *Sent:* Wednesday, February 17, 2021 7:30:40 PM
> *To:* peirce-l@list.iupui.edu
> *Subject:* Re: Re: [PEIRCE-L] Multi-value logic
>
> Edwina, John, List:
>
> Every aspect of EG (as well as GrIn and SG) is triadic. The sheet is
> triadic because there is always room to attach another graph-instance, a
> disjunction scroll is triadic because there is always room to add another
> inner close, an implication scroll is triadic because it mediates between
> the antecedent and the consequent, a line of identity is triadic because
> there is always room to add another branch connected with a name, a name is
> triadic because it symbolically represents a general concept, and the
> illative permissions are triadic because they correspond to rules of
> inference.
>
> As for the modes of being, possibility (1-1) corresponds to an unattached
> name, inherence (2-1) to a line of identity attached to one name, existence
> (2-2) to different graph-instances on the sheet, diversity (3-1) to the
> continuous range of meanings associated with each name, persistence (3-2)
> to the continuity of each line of identity, and reality (3-3) to the
> continuity of the sheet itself.
>
> Regards,
>
> Jon Alan Schmidt - Olathe, Kansas, USA
> Structural Engineer, Synechist Philosopher, Lutheran Christian
> www.LinkedIn.com/in/JonAlanSchmidt - twitter.com/JonAlanSchmidt
>
> On Wed, Feb 17, 2021 at 11:07 AM Edwina Taborsky <tabor...@primus.ca>
> wrote:
>
>> John, list
>>
>> I'm not sure about this; don't the models [and graphs are, after all,
>> models], have to show and explain Peircean semiosis - which is triadic?
>>
>> After all, semiosis is all about Mind-as-Matter, and the three categories
>> in both their genuine and degenerate modes are vital to this process. So,
>> don't the logical models have to show, for example, the mediation provided
>> by Thirdness - and this includes all three modes of Thirdness [3-3, 3-2,
>> 3-1] - as well as show the border fuzziness of a mode such as 2-1?
>>
>> Edwina
>>
>> On Tue 16/02/21 11:45 PM , "John F. Sowa" s...@bestweb.net sent:
>>
>> Edwina,
>>
>> I agree with the points you made, but they could be stated in classical
>> first-order logic. Peirce's EGs, for example, are a version of two-valued
>> logic {T, F} with no middle term.,
>>
>> A typical example of three-valued logic would have values such as {True,
>> Unknown, False}. A five-valued logic might have values like {certainly
>> true, true by default, unknown, false by default, certainly false}.
>>
>> This issue is orthogonal to the issues about 1ns, 2ns, 3ns. Peirce's EGs
>> are very well suited to representing those categories.
>>
>> John
>>
>>
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