Gary R., List:

Are we perhaps conflating feeling with emotion?  Peirce consistently
associates the former with Firstness, but is that appropriate for the
latter?  An *actual *emotion seems more like an example of Secondness, an
experience that occurs over time.

Regarding CP 1.485, I agree that Peirce presents the first inferential
process as Rule/Case/Result (vector of analysis).

*Deduction*
*** finally, the predication of the idea of the law in that case (1ns).
|> * first, living thought or ruling law (3ns);
** then, existential case under the condition of the law (2ns);


It appears to me that he then presents the second inferential process as
Rule/Result/Case (vector of representation) ...

*Abduction*

** then, the inherence of the idea of that law in an existential case (1ns);
|> * first, the living law (3ns);
*** finally, the subsumption of that case and the condition of the law
(2ns).


... and the third inferential process as Case/Result/Rule (vector of
determination).

*Induction*

** then, the inherence of the idea of that law in that case (1ns);
|> *** finally, the living law itself (3ns).
* first, the subsumption of an existential case under the condition of a
living law (2ns);


Is this right?  What (if any) significance should we attach to the sequence
of the three inferential processes here--first deduction, second abduction,
third induction?  What (if anything) is incorrect, or at least muddled, if
we recast abduction as Result/Rule/Case (vector of process) in accordance
with CP 5.189 as compared to CP 2.718?

Regards,

Jon Alan Schmidt - Olathe, Kansas, USA
Professional Engineer, Amateur Philosopher, Lutheran Layman
www.LinkedIn.com/in/JonAlanSchmidt - twitter.com/JonAlanSchmidt

On Fri, May 13, 2016 at 2:49 PM, Gary Richmond <[email protected]>
wrote:

> Jon S, List,
>
> Jon quoted a snippet of my post and commented.
>
> GR:  At the moment I am imagining that they might have a rather direct
> bearing on the psychology of inquiry ("a feeling of surprise;" "a feeling
> of satisfaction").
>
> [JS] Does "feeling," understood in this context as a manifestation of
> Firstness, entail psychology?  Of course, Peirce was very concerned about
> NOT grounding any aspect of logic in psychology or any other special
> science.
>
>
> But Peirce explicitly notes that one can loosen the strict rule banishing
> psychology from logic in logic's third branch, namely, methodeutic (or
> theoretical rhetoric). After all, inquiry is done by individual inquirers
> within a community of inquiry, that is by people with psyches. It is they
> who have 'feelings' of surprise, doubt, satisfaction, etc.
>
> In any event, since Gary F's post has got me looking at 'The Logic of
> Mathematics' again, I found this passage, which I'd more or less forgotten
> about, although at one point it was crucial in my thinking about the three
> inference patterns. I've added two trikonic diagrams to illustrate two of
> the points Peirce makes, especially as regards deduction as you just
> brought it up again, Jon.
>
> Peirce writes (CP 1.485):
>
> The triadic clause of the law of logic recognizes three elements in truth;
> the idea, or predicate, the fact or subject, the thought which originally
> put them together and recognizes they are together; from whence many things
> result, especially a threefold inferential process. . .
>
>
> *Three elements in truth*:
>
> "The idea or predicate"
> |>  "The thought which originally put them together"
> "The fact or subject"
>
> . . . from whence many things result, especially a threefold inferential
> process.
>
> [This inferential process] either first follows the order of involution
> from living thought or ruling law, and existential case under the condition
> of the law to the predication of the idea of the law in that case;
>
>
> *Deduction* ('order of involution'):
>
> *** finally, to the predication of the idea of the law in that case.
> |> * 1st, From the living thought or ruling law,
> ** then, through the existential case under the condition of the law;
>
> or second, proceeds from the living law and the inherence of the idea of
> that law in an existential case, to the subsumption of that case and to the
> condition of the law; or third, proceeds from the subsumption of an
> existential case under the condition of a living law, and the inherence of
> the idea of that law in that case to the living law itself * (CP 1.485)
>
>
> The asterisk at the end of that quote is to the editorial note: "Cf. 2.620
> ff" which is, of course, exactly where the three inference patterns
> relating to the bean example are given.
>
> So, for now, and most certainly for deduction, I'm going to stick with
> Peirce's analysis in 'The Logic of Mathematics' paper and CP 2.620 ff. I've
> had enough of revisionism in that matter at least!
>
> Best,
>
> Gary R
>
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