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How is a relational ontology (such as a formal learning model) formally relational? An phenomenological exploration of the semiotic logic of agency in physics, mathematics, and biology

Rogers, Timothy M (2025) How is a relational ontology (such as a formal learning model) formally relational? An phenomenological exploration of the semiotic logic of agency in physics, mathematics, and biology. [Preprint]

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Abstract

A phenomenological exploration of the distinction between a relational formal ontology (also called a process ontology) and a classical formal ontology (also called an object ontology) for modelling physical phenomena that exhibit relationally-mediated holism, such as phenomena from quantum physics and biosemiotics. Whereas a classical formal ontology is based on mathematical objects and classes, a relational formal ontology is based on mathematical signs and categories. A relational formal ontology involves nodal networks that are dynamically sustained through signalling. Nodal networks are systems of constrained iterative processes (dynamical nodes) that have individual semiotic ageny within a matrix of determinate possibilities (a semiotic scaffolding). The nodal networks are hierarchically ordered and exhibit characteristics of deep learning. Clarifying the distinction between classical and relational formal ontologies may help to clarify the role of interpretative context in physics (eg. the role of the observer in quantum theory), the role of signalling in biological systems and the role of hierarchical nodal networks in computational models of learning processes in generative artificial intelligence (AI).


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Rogers, Timothy Mtimothy.rogers@mail.utoronto.ca0009-0002-2167-9502
Keywords: Relational ontology Semiotics Interpretations of Quantum Mechanics Charles Sanders Peirce Relational Quantum Mechanics David Bohm Metaphysical indeterminacy
Subjects: General Issues > Determinism/Indeterminism
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Relativity Theory
General Issues > Structure of Theories
Depositing User: Dr. Timothy Rogers
Date Deposited: 05 Aug 2025 14:45
Last Modified: 05 Aug 2025 14:45
Item ID: 26117
Subjects: General Issues > Determinism/Indeterminism
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Relativity Theory
General Issues > Structure of Theories
Date: 5 June 2025
URI: https://philsci-archive.pitt.edu/id/eprint/26117

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