MetaStructures and Iterated MetaStructures: Extensions to Ontology, Computing, Puzzle, Logic, Ethics, Data and Governance

In this work, a Structure is interpreted broadly as a mathematical system that may originate in Set Theory, Logic, Social Science, Business Management, Probability and Statistics, Algebra, Geometry, and related areas. A MetaStructure is conceived as a higher-level framework in which collections of mathematical structures are treated as single objects governed by uniform meta-operations. An Iterated MetaStructure is obtained by repeatedly applying the MetaStructure construction, thereby generating successive layers in which “structures of structures” form a hierarchical tower. This paper investigates whether concepts such as Ontology, Computing, Puzzle, Logic, Ethics, Data, and Governance can be systematically extended within the framework of MetaStructures and Iterated MetaStructures.