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S-Modal: Recursive Free Will, Threshold-Based Necessity

Year: 2025

Type: article

Abstract: This paper introduces a radical new approach to modal logic that replaces static Kripkean accessibility relations with recursive, threshold-based agent intervention. We define necessity and possibility through Synchronization Dynamics, allowing free-willed agents to force state transitions once their intervention strength exceeds a critical collapse threshold. By bridging recursive free will, emergent quantum parallels, and even a reimagined arithmetic of synchronization (see Appendix~Beta), S-Modal lays the groundwork for a transformative paradigm in logic, decision theory, and computation.

Source: Knowledge Commons (Lakehead University)

DOI: 10.17613/326w4-gzb63

Author: Holmander, Craig

Language: English

Topic: Logic, Reasoning, and Knowledge

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6944302476

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