Hi Jon,

Thank you. I really appreciate your taking time to look at these universal category assertions.

I am serious about trying to test and improve the assignments made so far. It would be fantastic for knowledgeable and committed Peirce scholars to weight in on some of these assessments. If we are to create a workable knowledge graph or ontology based on Peircean concepts -- something I think is eminently doable -- it will be important to have thoughtful students of Peirce to comment and suggest. I have a naive hope such might materialize someday.

Edwina also provided some very thoughtful comments. I request you look to that separate thread for my more detailed comments.

Thanks again.

Mike

On 3/8/2021 7:08 PM, Jon Alan Schmidt wrote:
Mike, List:

Thanks for sharing your paper and subsequent exchanges about it, as well as your book chapter. Indeed, Peirce's universal categories permeate much of his work, including his architectonic classification of the sciences. I have found it helpful to remind myself from time to time that they are first and foremost /phenomenological /(or /phaneroscopic/) categories, the irreducible elements of anything that could be present to the mind.

Although there is certainly a sense in which chance corresponds to 1ns and continuity to 3ns, I suggest that more appropriate counterparts of actuality for 2ns are possibility for 1ns and (conditional) necessity for 3ns as shown on line T10 of your Table 6-2, since these are likewise /modalities/. Chance for 1ns goes with (exceptionless) law for 2ns and habit-taking for 3ns (as on line T14), while I tend to associate continuity for 3ns with discreteness for 2ns and indefiniteness for 1ns.

I could also quibble with some of the other details (including your choice of names), but I generally agree with your descriptions of "monads," "particulars," and "generals" as paradigmatic manifestations of 1ns, 2ns, and 3ns. I further agree that matter aligns with 2ns (as on line T15), but I see ideas as 1ns (as on line T36) and life as 3ns (not in table). Of course, any of these assignments ultimately depend on how one defines the terms, in what context, and for what purpose.

Regards,

Jon Alan Schmidt - Olathe, Kansas, USA
Structural Engineer, Synechist Philosopher, Lutheran Christian
www.LinkedIn.com/in/JonAlanSchmidt <http://www.LinkedIn.com/in/JonAlanSchmidt> - twitter.com/JonAlanSchmidt <http://twitter.com/JonAlanSchmidt>

On Mon, Mar 8, 2021 at 12:40 PM Mike Bergman <[email protected] <mailto:[email protected]>> wrote:

    Hi All,

    Given the number of questions regarding Peirce's universal
    categories in relation to my hierarchy paper, I have split out my
    response to them separately and have renamed the thread. I will
    follow up this thread with a separate thread on Bruce's 'twisted,
    closed loop' idea.

    It is clear that Peirce's research and method of inquiry were
    based on what he proudly classed as an 'architectonic' [1]. For
    me, it is one of the most appealing aspects of Peirce since it
    reflects his commitment to applying consistent logic and methods
    in all intellectual endeavors. Pragmatism has perhaps survived as
    the most often-cited basis of Peirce's architectonic. I agree with
    this in the context of praxis, but I have suspected for many years
    that the root fount of Peirce's approach is in his triadism, what
    he himself jocularly called his 'triadomany' [2].

    His universal categories are the root of the root. When last
    published [3], I had assembled up more than sixty instances where
    Peirce applied triadic splits; I have perhaps two dozen more
    needing a published update. All representations across these
    examples have a context to derive their meaning. Yet, still, there
    is a character across the categories of Firstness (1ns),
    Secondness (2ns) and Thirdness (3ns) that bring a unique feel and
    sense for each, generalizations emerging from the vague.

    An author's release of my book chapter on Peirce's universal
    categories is available for free from my Web site [3]. Table 6-2
    and its table notes, in particular, provide a flavor for how
    Perice's triadic categories were expressed by him in scores of
    examples. For example, in the case of 'reality', I would surmise
    Peirce to describe it as 'chance' (1ns), actuality (2ns), and
    'continuity' (3ns). More than 60 other examples and variants are
    provided in the table.

    In the case for the KBpedia Knowledge Ontology
    <https://kbpedia.org/knowledge-graph/> (KKO), the context is
    'knowledge representation'. That scope is close to being the same
    as 'everything there is', but the expression and organization need
    to be geared to logical constructs that are consistently used so
    as to be able to be reasoned over.

    In the KKO context, the triadic structure is 'monads' (1ns),
    'particulars' (2ns) and 'generals' (3ns). 'Monads' are the
    possible ideas or attributes about things, but they are
    unexpressed. I have also called monads 'unrealized building
    blocks'. They are pregnant with potential, but as monads are the
    pure qualities, not yet embodied.  Of course, once you try to
    represent or capture the idea of something like 'redness', you
    have given it expression so that it is no longer 1ns. Monads in
    the KKO context are best scoped as the unconnected relations
    between things and the unembodied attributes of things.

    'Particulars' (2ns) are the events and entities relevant to the
    scope of the current domain. Every particular is individuated. How
    to categorize 'attributes' into 'particulars', 'particulars' into
    'generals', and 'generals' into more abstract 'generals' is the
    motivator for my paper on hierarchy.

    'Generals' (3ns) are the types, classes, generalizations,
    abstractions, rules, laws and processes relating to the nature of
    reality and interactions. Thinking and continuity are 'generals'.
    Particulars are a predominant focus of generalizations. Because
    KBpedia is an interacting amalgam of typologies, aside from the
    200 or so concepts in KKO, 58,000 of the remaining concepts are
    all organized under the KKO 'generals' branch. However, specific
    individuals in the knowledge graph may reference the KKO concepts
    under the 'particulars' branch, and reasoning may occur across
    attributes and predicates using the 'monads' branch. These latter
    two options are nascent in KBpedia, but have not yet been tested
    and demonstrated. Now that our first task to create a Peircean
    knowledge representation with KBpedia is usable, I hope (and
    welcome others!) to begin applying such tests.

    I do not associate 1ns with 'matter, life and ideas' as Ravi may
    be implying. Rather, the associates I see are matter (2ns), life
    (2ns) and ideas (3ns). Monads do not have a position or
    representation in space. They are unexpressed, unembodied
    attributes or relations. Absolute chance and possibilities are
    'monads'.

    While perhaps it has been useful for me to be the primary editor
    of KBpedia and interpreter of Peirce in relation to knowledge
    representation, I think more Peirce and knowledge representation
    afficiandos need to contribute. It would be fantastic to see
    knowledge graphs suitable for testing and refining computer
    programs in Peircean triadic logic and abductive logic, as examples.

    At any rate, I hope this note or the paper reference [3] may help
    you understand my take on Peirce's universal categories.

    Best, Mike

    [1] http://www.commens.org/dictionary/term/triadomany
    <http://www.commens.org/dictionary/term/triadomany>
    [2] Peirce, Charles Sanders. 1891. “The Architecture of Theories”.
    /The Monist/ 1, no. 2: 161–76. See
    https://www.jstor.org/stable/pdf/27896847.pdf
    <https://www.jstor.org/stable/pdf/27896847.pdf>
    [3] https://www.mkbergman.com/publications/akrp/chapter-6.pdf
    <https://www.mkbergman.com/publications/akrp/chapter-6.pdf>

--
__________________________________________

Michael K. Bergman
Cognonto Corporation
319.621.5225
skype:michaelkbergman
http://cognonto.com
http://mkbergman.com
http://www.linkedin.com/in/mkbergman
__________________________________________

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