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, 15:21, 6 November 2008→Pieces of the Puzzle
===Pieces of the Puzzle===
===Pieces of the Puzzle===
''For the Time Being, a Sleightly Random Recap of Notes''
''For the Time Being, a Sleightly Random Recap of Notes …''
====Pragmatic Maxim as Closure Principle====
<pre>
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
Inquiry Driven Systems : Note 23
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| Consider what effects that might conceivably have practical bearings you
| conceive the objects of your conception to have. Then, your conception
| of those effects is the whole of your conception of the object.
Consider the following attempts at interpretation:
1. Your concept of x is your concept of the practical effects of x.
Not exactly. It seems a bit more like:
2. Your concept of x is your concept of your-conceived-practical-effects of x.
Converting to a third person point of view:
3. j's concept of x is j's concept of j's-conceived-practical-effects of x.
An ordinary closure principle looks like this:
C(x) = C(C(x))
It is tempting to try and read the pragmatic maxim
as if it had the following form, where C and E are
supposed to be a 1-adic functions for "concept of"
and "effects of", respectively.
1-adic functional case:
C(x) = C(E(x))
But it is really more like:
2-adic functional case:
C(y, x) = C(y, E(y, x))
where:
1. y = you.
2. C(y, x) = the concept that you have of x.
3. E(y, x) = the effects that you know of x.
x C(y, x)
o------------>o
/|\ ^
/ | \ =
/ | \ =
/ | \ =
e_1 e_2 e_3 =
\ | / =
\ | / =
\ | / =
\|/ =
o------------>o
E(y, x) C(y, E(y, x))
The concept that you have of x
is the concept that you have of
the effects that you know of x.
It is also very likely that the functional interpretations will not
do the trick, and that 3-adic relations will need to be used instead.
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
</pre>
'''Source.''' [http://grouper.ieee.org/groups/suo/ontology/msg04316.html Jon Awbrey (08 Aug 2002), Ontology List, Peirce List].
