What type of study is this?

September 10, 2025Open Access

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

Key Points

Metastructures provide a framework to unify various mathematical systems, facilitating their application in diverse fields.
Iterated metastructures generate layers of hierarchical 'structures of structures', expanding on foundational concepts.
The investigation reveals potential extensions in ontology, computing, and governance, highlighting their interconnectedness.
This approach opens new avenues for integrating logic and ethics within these frameworks, fostering interdisciplinary dialogue.

Abstract

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.

Read Full Paperexternally

Mark Helpful

Bookmark

Relay

View Full Paper