This paper presents a toy model for the representation related phenomena. It is the representation that is always referred to. The represented thing in itself is indeterminate existence at a fundamental level of understanding. In order to capture such property of representation, this paper provides a toy model using an algebraic structure: torsor. The toy model captures this baselessness of representation naturally, and can be used to describe various phenomena of representations. Adopting the torsor and focusing on the two-sidedness and the closure property of representation enables the toy model to express some consistency of representations.
References
[1]
Heylighen, F. Representation and Change. A Metarepresentational Framework for the Foundations of Physical and Cognitive Science; Communication & Cognition: Ghent, Belgium, 1990.
[2]
Yoshitake, M.; Saruwatari, Y. Extensional information articulation from the universe. Information 2012.
[3]
Bateson, G. Steps to an Ecology of Mind: Collected Essays in Anthropology, Psychiatry, Evolution, and Epistemology; University of Chicago Press: Chicago, IL, USA, 1972.
[4]
Mizoguchi, R. Tutorial on ontological engineering-Part 3: Advanced course of ontological engineering. New Gener. Comput. 2004, 22, 193–220, doi:10.1007/BF03040960.
[5]
Ashby, W.R. An Introduction to Cybernetics; Chapman & Hall: London, UK, 1957.
[6]
Heylighen, F. Self-organization, emergence and the architecture of complexity. In Proceedings of the 1st European Conference on System Science, Paris, France, 1989; pp. 23–32.
[7]
Pratt, V. Chu spaces: Course notes for the School in Category Theory and Applications. 1999. Available online: http://boole.stanford.edu/pub/coimbra.pdf (accessed on 22 June 2012).
[8]
Tsujishita, T. Mathematics: Science of Complex Systems and Modern Thought; Seidosha: Tokyo, Japan, 1998; pp. 75–225.