Author: jmorliaguet
Date: Thu Jun 15 15:49:00 2006
New Revision: 3417
Added:
cpsskins/branches/paris-sprint-2006/relations/peirce-relations.txt
(contents, props changed)
Removed:
cpsskins/branches/paris-sprint-2006/doc/peirce-relations.txt
Log:
- moved text to cpsskins.relations
Added: cpsskins/branches/paris-sprint-2006/relations/peirce-relations.txt
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+
+Extending SchoolBell relationship library
+=========================================
+
+The SchoolBell relationship library implements only one type of relation
+(i.e. dyadic relations). A "link" defines only "one half" of a relationship.
+
+ "Implementation of relationships.
+ Relationships are represented as collections of links. A link defines one
+ half of a relationship" (relationship.relationships.py)
+
+
+There are in Peirce's logic of relations used in semiotic, knowledge
+representation (...) 3 categories of relations, each category has subdivisions:
+
+These are:
+
+1. monadic relations
+
+
+2. dyadic relations
+
+ 2.1 degenerate
+
+ 2.2 genuine (authentic)
+
+
+3. tradic relations
+
+ 3.1 degenerate in the second degree (monadically degenerate)
+
+ 3.2 degenerate in the first degree (dyadically degenerate)
+
+ 3.3 genuine (authentic)
+
+
+Summary (quoted from [1])
+-------
+
+ For those who are familiar with the phenomenology of Charles Sanders Peirce
+ (which we call "phaneroscopy") these terms -"concepts," "kinds of things,"
+ "singular beings" and "qualities" immediately bring to mind the three
+ universes which are distinguished by him as three "modes of being" of which
+ the subjects are respectively:
+
+ Ideas or Possibles (potential qualities such as redness), which can be
+ described using only monadic predicates ( _ is red, _ is a cat).
+
+ Existents and the Facts concerning these existents, which can be described
+ using only monadic and dyadic predicates (for instance, the fact:
+ "the cat eats the mouse" is described by the combination of the monadic
+ predicates "_ is a cat" and "_ is a mouse" and of the dyadic predicate
+ "_ eats _").
+
+ Necessitants (laws, habits and concepts), defined using only monadic,
+ dyadic and triadic predicates (for instance, the concept of "sale"
+ instanciated in the fact John sells a book to Mary can be described by
+ the predicates "_ is a seller," "_ is a book," "_ is a buyer,"
+ "_ makes a transaction with _," "_ sells _ to _").
+
+
+Monadic relations:
+------------------
+
+"a monad will mean an element which, except that it is thought
+as applying to some subject, has no other characters than those which
+are complete in it without any reference to anything else"
+(Collected Papers 1.292)
+
+Example:
+........
+
+- the CSS property: { color: red; }
+
+Dyadic relations:
+-----------------
+
+"A genuine relation will consist of two realities, which are in relation either
+by existential or conceptual relations. A real relation subsists in virtue of
+a fact which would be totally impossible were either of the related objects
+destroyed; while a relation of reason subsists in virtue of two facts, one
+only of which would disappear on the annihilation of either of the relates"
+(Collected Papers 1.365)
+
+
+Examples:
+.........
+
+- authentic dyadic relation (genuine, existential relation)
+
+ Portlet A -- is located in -- Folder A
+
+
+- degenerate dyadic relation (relation of reason, conceptual relation)
+
+ Box A -- has the same style as -- Box B
+
+
+Triadic relations:
+------------------
+
+"Every triad is either monadically degenerate, dyadically degenerate, or
+genuine."
+
+"A monadically degenerate triad is one which results from the essence of
+three monads, its subjects."
+
+"A dyadically degenerate triad is one which results from dyads."
+
+"A genuine triad is one which cannot be resolved in any such way."
+
+ref. Charles Sanders Peirce The Collected Papers:
+Principles of Philosophy III. Phenomenology 4. The Logic of Mathematics.
+Triads (http://www.textlog.de/4279.html)
+
+Examples:
+.........
+
+TODO
+
+Reduction thesis:
+-----------------
+
+- n-adic relations (n > 3) can be reduced as a combination of triadic
relations.
+
+- triadic relation cannot be built with any combinaison of dyadic relations
+ only
+
+
+References:
+-----------
+
+[1] Foliated Semantic Networks: concept, facts, qualities, R. Marty
+ http://www.univ-perp.fr/see/rch/lts/marty/semantic-ns/
+
+[2] The Logic of Mathematics, C.S. Peirce
+ http://www.textlog.de/4267.html
+
+[3] The categories in detail, C.S. Peirce
+ http://www.textlog.de/4269.html
+
+[4] A Guess at the Riddle, C.S. Peirce
+ http://www.textlog.de/4268.html
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