Categorical ontology of levels and emergent complexity: an introduction [Book Review]

Axiomathes 17 (3-4):209-222 (2007)
Abstract
An overview of the following three related papers in this issue presents the Emergence of Highly Complex Systems such as living organisms, man, society and the human mind from the viewpoint of the current Ontological Theory of Levels. The ontology of spacetime structures in the Universe is discussed beginning with the quantum level; then, the striking emergence of the higher levels of reality is examined from a categorical—relational and logical viewpoint. The ontological problems and methodology aspects discussed in the first two papers are followed by a rigorous paper based on Category Theory, Algebraic Topology and Logic that provides a conceptual and mathematical basis for a Categorical Ontology Theory of Levels. The essential links and relationships between the following three papers of this issue are pointed out, and further possible developments are being considered
Keywords A categorical ontology theory of levels  Non-Abelian algebraic topology of spacetime structures  Evolution, co–evolution, Rosetta groupoids and the emergence of homo sapiens, society and the human mind  Conceptual framework for a categorical ontology theory of levels  Biodynamics, variable topology and biogroupoids in relational biology  Non-linear network dynamics of functional genomes and /Lukasiewicz many-valued logic algebras  Quantum gravity, quantum logic, and non-Abelian approaches to quantized spacetime structures
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