tripleC 5(2): 49-63, 2007 ISSN 1726-670X http://tripleC.uti.at Topological Aspects of Biosemiotics Rainer E. Zimmermann IAG Philosophische Grundlagenprobleme, U Kassel / Clare Hall, UK – Cambridge / Lehrgebiet Philosophie, FB 13 AW, FH Muenchen, Lothstr. 34, D – 80335 München E-mail:
[email protected] Abstract: According to recent work of Bounias and Bonaly cal terms with a view to the biosemiotic consequences. As this (2000), there is a close relationship between the conceptualiza- approach fits naturally into the Kassel programme of investigat- tion of biological life and mathematical conceptualization such ing the relationship between the cognitive perceiving of the that both of them co-depend on each other when discussing world and its communicative modeling (Zimmermann 2004a, preliminary conditions for properties of biosystems. More pre- 2005b), it is found that topology as formal nucleus of spatial cisely, such properties can be realized only, if the space of modeling is more than relevant for the understanding of repre- orbits of members of some topological space X by the set of senting and co-creating the world as it is cognitively perceived functions governing the interactions of these members is com- and communicated in its design. Also, its implications may well pact and complete. This result has important consequences for serve the theoretical (top-down) foundation of biosemiotics the maximization of complementarity in habitat occupation as itself. well as for the reciprocal contributions of sub(eco)systems with respect