Abstract
How are “computational” dynamics of organic components organized to form organisms? The semiotic dilemma is exemplified by noting that the terms organic, organism, and organization are all derived from the same root! The common semantic origin of these terms strongly suggests the existence of a common perceptual pattern underlies the phenomena of complex pattern generators. Presumably, these generators create cellular “computations.”
Which mathematical structures are sufficiently rich to support a unified representation of interdependence, of hierarchical degrees of organization and of nonlinear dynamics? It has been suggested that category theory is appropriate. A notation for a hierarchical structure of the natural sciences is created which is consistent with categorical logic. A notational sequence for composing one - to - one correspondences among the degrees of organization [Oo] of material objects of a cellular system is proposed. Necessary and sufficient conditions for simple and complex systems are described. Causality is also exemplified in terms of the boundary conditions sustaining the system — bottom - up, top - down, outside - inward and inside - outward. This scientific notation is contrasted with six species of signs of general semiotics.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Baas, N. A. (1994), Emergence, hierarchies and hyperstructures. Artificial Life III. SFI Studies in the Sciences of Complexity, vol. XVII. Ed.C.G. Langton, Addison-Wesley pp. 515–537.
Chaisson, E. (1996), “Cosmological Complexity on the Grandest Scales,” Actes du Symposium ECHO, Amiens Fr., 20–26.
Chaisson, E. (1989), The Life Era. Cosmic Selection and Consciousness. W.W.Norton, NY.
Chandler, Jerry LR (1991), “Complexity: A phenomenologic and semantic analysis of dynamical classes of natural systems,” WESScomm 1: 34–40.
Chandler, Jerry LR (1992), “Complexity II. Logical constraints on the structure of scientific languages,” WESScomm 2: 34–37.
Chandler, Jerry LR. (1995), “Third order cybernetics,” Proceedings of 14th International Congress on Cybernetics, Namur, Belgium, p. 489–493.
Chandler, Jerry LR (1996), “Complexity III. Emergence. Notation and symbolization.” WESScomm 2: 34–37.
Chandler, Jerry LR, Ehresmann, A.C. Vanbremeersch, J.-P, (1995)
de Chardin, Pierre. T. (1959), The Phenomenon of Man Harper and Row, NY.
Ehresmann, A. C. and Vanbremeersch, J.-P. (1987), “Hierarchical evolutive systems,” Bulletin of Math. Biol. 49: 13–50.
Ehresmann, C. (1966), Trends toward unity in mathematics. Cahier de Topologies et Geometrie Differentielle 8: 759–765.
Eiseley, Loren (1960), The Firmament of Time. Athenaeum, NY.
Jantsch, Erich (1980), The Self-Organizing Universe. Scientific and Human Implications of the Emerging Paradigm of Evolution. Pergamon Press, Oxford.
Lambert, David. M. and Hughes, A. J. (1987), “Keywords and concepts in structuralist and functionalist biology,” J. Theor. Biol. 133: 133–145.
Miller, J. G. (1978), Living Systems. McGraw-Hill, NY.
Morowitz, H. J. (1992), Beginnings of Cellular Life. Metabolism Recapitulates Biogenesis. Yale Press.
Rosen, Robert (1991), Life Itself. A Comprehensive Inquiry into the Nature. Origin and Fabrication of Life. Columbia Univ. Press, NY.
Sebeok, Thomas, (1995), Signs. Introduction to Semiotics. Toronto Univ. Press.
Stolyar, A. A. (1970), Introduction to Elementary Mathematical Logic. Dover, NY.
Thom, Rene (1991), Semiophysics Addison Wesley, NY
Vanbremeersch, J.-P, Chandler, Jerry LR and Ehresmann, A.C. (1996), “Are interactions among different time scales a characteristic of complexity?” Actes Du Sym. ECHO Amiens, Fr., 162–167.
Walters, R.F.C. (1991), Çategories tnd Computer Science. Cambridge Press.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media New York
About this chapter
Cite this chapter
Chandler, J.L.R. (1998). Semiotics of Complex Systems: A Hierarchical Notation for the Mathematical Structure of a Single Cell. In: Holcombe, M., Paton, R. (eds) Information Processing in Cells and Tissues. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5345-8_20
Download citation
DOI: https://doi.org/10.1007/978-1-4615-5345-8_20
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7438-1
Online ISBN: 978-1-4615-5345-8
eBook Packages: Springer Book Archive