NDLI: Topology and Life Redux: Robert Rosen’s Relational Diagrams of Living Systems

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Topology and Life Redux: Robert Rosen’s Relational Diagrams of Living Systems

Content Provider	Springer Nature Link
Author	Louie, A. H. Kercel, Stephen W.
Copyright Year	2007
Abstract	Algebraic/topological descriptions of living processes are indispensable to the understanding of both biological and cognitive functions. This paper presents a fundamental algebraic description of living/cognitive processes and exposes its inherent ambiguity. Since ambiguity is forbidden to computation, no computational description can lend insight to inherently ambiguous processes. The impredicativity of these models is not a flaw, but is, rather, their strength. It enables us to reason with ambiguous mathematical representations of ambiguous natural processes. The noncomputability of these structures means computerized simulacra of them are uninformative of their key properties. This leads to the question of how we should reason about them. That question is answered in this paper by presenting an example of such reasoning, the demonstration of a topological strategy for understanding how the fundamental structure can form itself from within itself.
Starting Page	109
Ending Page	136
Page Count	28
File Format	PDF
ISSN	11221151
Journal	Axiomathes
Volume Number	17
Issue Number	2
e-ISSN	15728390
Language	English
Publisher	Springer Netherlands
Publisher Date	2007-10-23
Publisher Place	Dordrecht
Access Restriction	Subscribed
Subject Keyword	Relational biology Robert Rosen Closure to efficient causation Noncomputability Traversability Philosophy Ontology Linguistics (general) Cognitive Psychology Logic
Content Type	Text
Resource Type	Article
Subject	Philosophy Mathematics

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