ONT Re: Logic Of Relatives
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LOR. Discussion Note 14
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BM = Bernard Morand
[Table. Ten Divisions of Signs (Peirce, Morand)]
BM: Yes this is clearer (in particular in expressing relations with :)
This is what Peirce used to form elementary relatives, for example,
o:s:i = <o, s, i>, and I find it utterly ubertous in a wide variety
of syntactic circumstances.
BM: I suggest making a correction to myself if
the table is destinate to become canonic.
Hah! Good one!
BM: I probably made a too quick jump from Normal Interpretant to Final Interpretant.
As we know, the final interpretant, the ultimate one is not a sign for Peirce
but a habit. So for the sake of things to come it would be more careful to
retain I_n in place of I_f for now.
This accords with my understanding of how the word is used in mathematics.
In my own work it has been necessary to distinguish many different species
of expressions along somewhat similar lines, for example: arbitrary, basic,
canonical, decidable, normal, periodic, persistent, prototypical, recurrent,
representative, stable, typical, and so on. So I will make the changes below:
Table. Ten Divisions of Signs (Peirce, Morand)
o---o---------------o------------------o------------------o---------------o
| | According To: | Of: | To: | |
o===o===============o==================o==================o===============o
| 1 | Apprehension | Sign Itself | | S |
| 2 | Presentation | Immediate Object | | O_i |
| 3 | Being | Dynamical Object | | O_d |
| 4 | Relation | Sign | Dynamical Object | S : O_d |
o---o---------------o------------------o------------------o---------------o
| 5 | Presentation | Immediate Interp | | I_i |
| 6 | Being | Dynamical Interp | | I_d |
| 7 | Relation | Sign | Dynamical Interp | S : I_d |
o---o---------------o------------------o------------------o---------------o
| 8 | Nature | Normal Interp | | I_n |
| 9 | Relation | Sign | Normal Interp | S : I_n |
o---o---------------o------------------o------------------o---------------o
| A | Tri. Relation | Sign | Dynamical Object | |
| | | | & Normal Interp | S : O_d : I_n |
o---o---------------o------------------o------------------o---------------o
BM: Peirce gives the following definition (CP 8.343):
BM, quoting CSP:
| It is likewise requisite to distinguish
| the 'Immediate Interpretant', i.e. the
| Interpretant represented or signified in
| the Sign, from the 'Dynamic Interpretant',
| or effect actually produced on the mind
| by the Sign; and both of these from
| the 'Normal Interpretant', or effect
| that would be produced on the mind by
| the Sign after sufficient development
| of thought.
|
| C.S. Peirce, 'Collected Papers', CP 8.343.
Well, you've really tossed me in the middle of the briar patch now!
I must continue with my reading from the 1870 LOR, but now I have
to add to my do-list the problems of comparing the whole variorum
of letters and drafts of letters to Lady Welby. I only have the
CP 8 and Wiener versions here, so I will depend on you for ample
excerpts from the Lieb volume.
Have to break here, and I am already falling behind ...
Jon Awbrey
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