TL;DR
This paper explores the philosophical foundations of hyperstructures, extending networks and higher categories, aiming to facilitate future applications and developments in the mathematical theory of hyperstructures.
Contribution
It provides a philosophical discussion on hyperstructures, aiming to lay groundwork for their mathematical development and potential applications.
Findings
Clarifies conceptual foundations of hyperstructures
Proposes directions for future research and applications
Connects hyperstructures to higher category theory
Abstract
In this paper we discuss various philosophical aspects of the hyperstructure concept extending networks and higher categories. By this discussion we hope to pave the way for applications and further developments of the mathematical theory of hyperstructures.
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Taxonomy
TopicsComputability, Logic, AI Algorithms · Advanced Algebra and Logic · Cognitive Science and Mapping