A Conceptual Construction of Complexity Levels Theory in Spacetime Categorical Ontology: Non-Abelian Algebraic Topology, Many-Valued Logics and Dynamic Systems.
Abstract  A novel conceptual framework is introduced for the Complexity Levels Theory in a Categorical Ontology of Space and Time. This conceptual and formal construction is intended for ontological studies of Emergent Biosystems, Super-complex Dynamics, Evolution and Human Consciousness. A claim...
| Publicado en: | Axiomathes: Global Philosophy Vol. 17; no. 3/4; pp. 409 - 494 |
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| Autores principales: | , , |
| Formato: | Artículo |
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Springer Nature
Dec2007
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=28044313&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 28044313 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 11221151 ODF jtl: Axiomathes: Global Philosophy issn: 11221151 maglogo: N pubinfo: dt: Dec2007 vid: 17 iid: 3/4 pid: 237 pub: Springer Nature artinfo: ui: 28044313 10.1007/s10516-007-9010-3 ppf: 409 ppct: 85 formats: tig: atl: A Conceptual Construction of Complexity Levels Theory in Spacetime Categorical Ontology: Non-Abelian Algebraic Topology, Many-Valued Logics and Dynamic Systems. aug: au: R. Brown J. Glazebrook I. Baianu affil: University of Wales School of Informatics Dean St. Bangor, Gwynedd LL57 1UT UK Eastern Illinois University Department of Mathematics and Computer Science 600 Lincoln Ave. Charleston IL 61920-3099 USA University of Illinois at Urbana-Champaign FSHN and NPRE Departments, AFC-NMR and NIR Microspectroscopy Facility Urbana IL 61801 USA su: Ontology Spacetime Mathematical logic Complexity (Philosophy) sug: subj: Ontology Spacetime Mathematical logic Complexity (Philosophy) ab: Abstract  A novel conceptual framework is introduced for the Complexity Levels Theory in a Categorical Ontology of Space and Time. This conceptual and formal construction is intended for ontological studies of Emergent Biosystems, Super-complex Dynamics, Evolution and Human Consciousness. A claim is defended concerning the universal representation of an itemâs essence in categorical terms. As an essential example, relational structures of living organisms are well represented by applying the important categorical concept of natural transformations to biomolecular reactions and relational structures that emerge from the latter in living systems. Thus, several relational theories of living systems can be represented by natural transformations of organismic, relational structures. The ascent of man and other living organisms through adaptation, is viewed in novel categorical terms, such as variable biogroupoid representations of evolving species. Such precise but flexible evolutionary concepts will allow the further development of the unifying theme of local-to-global approaches to highly complex systems in order to represent novel patterns of relations that emerge in super- and ultra-complex systems in terms of compositions of local procedures. Solutions to such local-to-global problems in highly complex systems with âbroken symmetryâ might be possible to be reached with the help of higher homotopy theorems in algebraic topology such as the generalized van Kampen theorems (HHvKT). Categories of many-valued, Åukasiewicz-Moisil (LM) logic algebras provide useful concepts for representing the intrinsic dynamic âasymmetryâ of genetic networks in organismic development and evolution, as well as to derive novel results for (non-commutative) Quantum Logics. Furthermore, as recently pointed out by Baianu and Poli (Theory and applications of ontology, vol 1. Springer, Berlin, in press), LM-logic algebras may also provide the appropriate framework for future developments of the ontological theory of levels with its complex/entangled/intertwined ramifications in psychology, sociology and ecology. As shown in the preceding two papers in this issue, a paradigm shift towards non-commutative, or non-Abelian, theories of highly complex dynamicsâwhich is presently unfolding in physics, mathematics, life and cognitive sciencesâmay be implemented through realizations of higher dimensional algebras in neurosciences and psychology, as well as in human genomics, bioinformatics and interactomics. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y dt: @attributes: year: 2007 holdings: @attributes: islocal: N |
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