Networks and Complexity
Overwhelmed? C'est normal, relax. The class is based on exploratory exposure, letting you dig into those materials and problems that interest you: not on mandatory homework. The sooner you get immersed, of course, the better. These reading are available through the web links (and a few by request to instructor).
A secondary theme of this year's class is to integrate the study of cognition with
network analysis. Anthropologist Edwin Hutchins, following a thesis established by
Charles Sanders Peirce (1909), demonstrates how human thought, far from being a strictly
internal mental process or innate structure (contra Chomsky), is grounded existentially
in material practice and distributed cognition in which an agent utilizes the environment
and social learning as active constituents of cognition. Hutchin's ethnography constitutes
the leading edge of this line of research, in contradistinction to much of the modeling of
thought in computer science such as information processing models.
The postulate of agency (atomism) interacting in an environmental field is fundamental the
analysis of complex systems (Complex Systems: Atomistic units),
a second major theme of the course and readings, emphasizing the dynamics of interaction
and field processes. The physical structure of complexity is based on
hierarchical embedding.
Browse:
A Brief Introduction to Conceptual Graphs by John Sowa
longer treatment:
The search for a truth-valued logic and its integration into mathematics,
initiated by Friedrich Ludwig Gottlob Frege
(a major influence on Peano and Bertrand Russell, and giving rise to Russell's paradoxes),
is finally being abandoned with the movement to restructure this component of mathematics, lead
by Rudolf Wille. Wille takes logic as having a particularistic grounded form in human thought
(a view consistent with classic roots of logic), with the role of mathematics as providing a
formalization of possible worlds, many of which are far from realistic, and some of which
may provide a mapping for grounded logics. Wille's interest, like that of Pierce and Hutchins,
is in how thought is grounded in the dyadic relationship -- a bipartite network -- between
conceptual intention and (a constituted object of thought, e.g., "animal," "God") and its concrete
extensions (pointers to environmental objects or references, e.g., "Shiva"). Conceptual intentions
become the attributes of culturally (or logically) constituted objects. The tools provided by Wille's
Darmstadt group for concept analysis are downloadable and are ones we will use in this class
and Wille's Introduction to tells how to construct examples by hand.
Before leaving this topic go back to Luc Steels and the overlap between the classical-pragmatic-formal concept analysis
approach to grounded thought (perfectly applicable to sociocultural analysis across different
cultural systems) and Wittgenstein's concept of language games and their situational grounding.
Of interest to the anthropology of the future is the theory of language origins programmed into
the SONY robot dog "Aibo." (at home you can install http://www.viewpoint.com/
and interact in 3D on-line at
the aibo site) by Luc Steels. The talking heads
experiment in which aibo as a socio-emotional language learner in a situated environment, trying
to identify and play Wittgenstein language games is an amazing demonstration of the interactive basis
of language and cognition. The analysis of the interactions among humans and aibo-like
agents in the "Talking Heads" experiment would make an interesting dynamical network study
of the evolution of language communities in socially cohesive contexts.
-----under development from here on: web content to be changed-------
Widmer E. D., & La Farga L.-A. (2000). Family Networks. A Sociometric Method
to Study Relationships in Families. Field
Methods, 12, 2, 108-128.
Widmer E. D., & La Farga L.-A. (1999). Boundedness
and connectivity of contemporary families: a case study. Connections, 22, 2, 30-36.
http://eclectic.ss.uci.edu/~drwhite/Anthro179a/net/list.htm
(A
pdf version, generated from the postscript above, so use the ps if you can.)
(Berlin: Springer, 1997), pp. 21-40. See: CAR Project:
Axelrod, Cohen, Riolo on the Prisoner's Dilemma, Cooperation and Complexity
see: Cognition in the Wild ;
and cognition-in-the-wild
The "Existential Graphs" of Charles Sanders Peirce (MS514), as a model of thought,
also emphazise a primary level of existential objects, a secondary level of their attributes,
and a tertiary level of their interactions. Interactions may also involve how agents differentially
perceive attributes of objects, and other types of mediations. A great deal of modeling along this
line is currently being developed in computer science, following lines established by John
Sowa, under the rubric of "Conceptual Graphs."
Browse: Conceptual Graphs
(free software:) Conceptual Graph Editor by Harry Delugach
Browse: ConImp and Diagramm downloadable computer programs
This lays the needed grounding for a framework that includes
structure and dynamics, material and symbolic, in which
concepts of network analysis are fundamental to further exploration
