Poly-Logic as Quantum Cognition: Resolution Matrix Semantics at the Intersection of Modal Logic, Neuroscience, and Physics
Canada, Andrey Kuznetsov · 2025
The Resolution Matrix Semantics (RMS) framework introduces a transformative approach to modal logic by prioritizing truth values over relational structures, using "blinking" indeterminate truth values (e.g., t for "either necessary truth or contingent truth") and sub-interpretations to resolve them.This framework resonates with the poly-logic nature of human cognition, where thinking is not confined to a single logical pathway but involves multiple, concurrent streams of reasoning guided by what Vladimir Bibler terms "poly-logic substantive control".This essay explores the philosophical implications of RMS, particularly its sub-interpretation mechanism, and argues that it mirrors the inherently poly-logic structure of human thought.By drawing parallels with Bibler's philosophy, incorporating insights from quantum cognitive models, and extending these ideas to computational paradigms like parallel computing, RMS offers a model for a pluralistic, precise, and rapid approach to thinking and decision-making [1,2]. Indeterminate Truth Values: Capturing Cognitive AmbiguityClassical logic, with its bivalent true/false framework, often fails to reflect the nuanced, ambiguous nature of human reasoning.In daily life, we navigate uncertainty-truths that are context-dependent or partially determined.RMS's indeterminate truth values, such as t (either tn or tc), f (either fc or fn), or t/f (fully indeterminate), formalize this ambiguity.For example, in ethical reasoning, a proposition like "this action is permissible" might be t-necessarily true (tn) under strict moral codes or contingently true (tc) in specific contexts.This "blinking" quality of truth values aligns with how humans hold provisional beliefs, adjusting them as new information emerges.Philosophically, this echoes non-classical logics like fuzzy logic or Graham Priest's paraconsistent Logic of Paradox, which accommodate truth value gaps and gluts.RMS's indeterminate values provide a formal structure for epistemic states where certainty is elusive, such as in scientific inquiry (e.g., a hypothesis with