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{{DISPLAYTITLE:Project : Peircean Pragmata}}
{{DISPLAYTITLE:Project : Peircean Pragmata}}
Several recent blog postings have brought to mind a congeries of perennial themes out of Peirce. I am prompted to collect what old notes of mine I can glean off the Web, and — The Horror! The Horror! — maybe even plumb the verdimmerung depths of that old box of papyrus under the desk …
==Peirce's Law : Tertia Datur And Non==
*[http://indexical.blogspot.com/ Shawn Standefer @ Words and Other Things]
**[http://indexical.blogspot.com/2008/09/classical-howard-curry.html Classical Howard–Curry]
==Peirce's Law and the Pragmatic Maxim==
Jacob Longshore conjectures a link between [[Peirce's Law]] and the [[Pragmatic Maxim]].
*[http://wordverter.blogspot.com/ Jacob Longshore @ Wordverter]
#[http://wordverter.blogspot.com/2007/11/peirce-lays-down-law.html Peirce Lays Down The Law!]
#[http://wordverter.blogspot.com/2007/11/peirces-pragmatic-law-conjecture.html Peirce's Pragmatic Law : A Conjecture]
#[http://wordverter.blogspot.com/2007/11/extensions.html Extensions on Peirce's Pragmatic Law]
#[http://wordverter.blogspot.com/2007/11/further-extensions-out-on-leafy-edge.html Further Extensions : Out on the Leafy Edge]
#[http://wordverter.blogspot.com/2007/11/im-afraid-i-got-ahead-of-myself.html Peirce's Pragmatic Law : The Point of It All]
[http://wordverter.blogspot.com/2007/11/extensions.html?showComment=1224809880000#c6577550382178529940 Jon Awbrey freely associates to Post N<u>°</u>3].
==Pieces of the Puzzle==
''For the Time Being, a Sleightly Random Recap of Notes …''
===Pragmatic Maxim as Closure Principle===
<blockquote>
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. (C.S. Peirce, CP 5.438).
</blockquote>
Consider the following attempts at interpretation:
: Your concept of <math>x\!</math> is your concept of the practical effects of <math>x.\!</math>
Not exactly. It seems a bit more like:
: Your concept of <math>x\!</math> is your concept of your-conceived-practical-effects of <math>x.\!</math>
Converting to a third person point of view:
: <math>j\!</math>'s concept of <math>x\!</math> is <math>j\!</math>'s concept of <math>j\!</math>'s-conceived-practical-effects of <math>x.\!</math>
An ordinary closure principle looks like this:
: <math>C(x) = C(C(x))\!</math>
It is tempting to try and read the pragmatic maxim as if it had the following form, where <math>C\!</math> and <math>E\!</math> are supposed to be a 1-adic functions for "concept of" and "effects of", respectively.
: 1-adic functional case:
: <math>C(x) = C(E(x))\!</math>
But it is really more like:
: 2-adic functional case:
: <math>C(y, x) = C(y, E(y, x))\!</math>
where:
: <math>y\!</math> = you.
: <math>C(y, x)\!</math> = the concept that you have of <math>x.\!</math>
: <math>E(y, x)\!</math> = the effects that you know of <math>x.\!</math>
<pre>
x C(y, x)
o------------>o
/|\ ^
/ | \ =
/ | \ =
/ | \ =
e_1 e_2 e_3 =
\ | / =
\ | / =
\ | / =
\|/ =
o------------>o
E(y, x) C(y, E(y, x))
</pre>
The concept that you have of <math>x\!</math> is the concept that you have of the effects that you know of <math>x.\!</math>
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.
'''Source.''' [http://grouper.ieee.org/groups/suo/ontology/msg04316.html Jon Awbrey (08 Aug 2002), "Inquiry Driven Systems : Note 23", Ontology List, Peirce List].
==Determination==
#[http://suo.ieee.org/ontology/thrd63.html#02377 Jon Awbrey (May–Aug 2001), "Determination", Ontology List].
#[http://stderr.org/pipermail/arisbe/2001-May/thread.html#489 Jon Awbrey (May 2001), "Determination", Arisbe List].
#[http://stderr.org/pipermail/arisbe/2001-August/thread.html#942 Jon Awbrey (Aug 2001), "Determination", Arisbe List].
#[http://stderr.org/pipermail/inquiry/2004-December/thread.html#2197 Jon Awbrey (Dec 2004), "Determination", Inquiry List].
==Logic As Semiotic==
#[http://suo.ieee.org/ontology/thrd48.html#03070 Jon Awbrey (Aug 2001), "Logic As Semiotic", Ontology List].
#[http://stderr.org/pipermail/arisbe/2001-August/thread.html#844 Jon Awbrey (Aug 2001), "Logic As Semiotic", Arisbe List].
#[http://stderr.org/pipermail/inquiry/2004-December/thread.html#2219 Jon Awbrey (Dec 2004), "Logic As Semiotic", Inquiry List].
==Inquiry Into Information==
#[http://suo.ieee.org/ontology/thrd47.html#03172 Jon Awbrey (Aug 2001), "Inquiry Into Information", Ontology List].
#[http://stderr.org/pipermail/arisbe/2001-August/thread.html#935 Jon Awbrey (Aug 2001), "Inquiry Into Information", Arisbe List].
#[http://stderr.org/pipermail/inquiry/2004-December/thread.html#2229 Jon Awbrey (Dec 2004), "Inquiry Into Information", Inquiry List].
==Resources==
*[http://www.iupui.edu/~peirce/writings/v2/w2/w2_06/v2_06.htm Peirce, C.S. (13 Nov 1867), "Upon Logical Comprehension and Extension"].
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[[Common Name:=Peircean Pragmata| ]]
[[Project Name:=Peircean Pragmata| ]]
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