Categorical ontology and the theory of levels 2 Non-commutative topological invariants of complex dynamic state spaces 2 Relational biology principles 2 ) 1 Abelian vs. non-Abelian theories 1 Anticipation and feedforward 1 Biogroupoids 1 more ... Biomolecular classes and Metabolic repair systems 1 Brentano, Harman, Dennett, Field and Fodor’s philosophy of the mind 1 Chains and compositions of local procedures (COLPs) of locally Lie groupoids in the evolution and co-evolution of species 1 Cognitive science 1 Commutativity limitations in logics, mathematics, physics and emergent systems 1 Commutativity vs. Non-Commutativity, Symmetry vs. Asymmetry, CPT Symmetry violation Quantum Field Theory and Quantum Dynamics 1 Double groupoids and quantum double groupoids 1 Emergence of human consciousness through co-evolution/social interactions and symbolic communication 1 Evolution and memory evolutive systems (MES) 1 Formal foundation and relational structure of categorical ontology and emergent complexity theories 1 Fundamental Quantum Double Groupoids and Spacetime Topological Invariants 1 Global and local aspects of biological evolution in terms of colimits of variable biogroupoids 1 Higher Dimensional Algebra (HDA) in SpaceTime Ontology, Higher Homotopy and General van Kampen Theorem (HHvKT) 1 Higher Homotopy-General Van Kampen Theorems (HHvKT) and Non-Abelian Algebraic Topology (NAAT) 1 Higher dimensional algebra of brain functions 1 Higher homotopy—General Van Kampen Theorems (HHvKT) and Non-Abelian algebraic topology (NAAT) 1 Irreversibility and open systems 1 Local-to-Global Problems and Combinations of Local Procedures (COLP), Lie Groupoids, Groupoid Atlases and Graded Lie Algebroids in Non-Linear Quantum Gravity 1 Mathematical categories, Groupoids, Locally Lie groupoids, Groupoid Atlas, Stacks, Fibred categories 1 Mental representations and intentionality 1 Molecular class variables (mcv) 1 Moral duality and strange attractors of modern society dynamics 1 Natural transformations and the Yoneda-Grothendieck Lemma/construction 1 less ...