How the Undeducible Becomes Derivable: A Formal Framework for Artificial Intuition

Intuition is often treated as an essentially non-formal faculty that resists logical modeling and algorithmic explanation. This paper challenges that view by introducing a quantum-inspired poly-logical framework in which intuition emerges as a formally definable inferential phenomenon. Indeterminacy is reinterpreted not as incomplete information but as logical superposition, and reasoning agents are modeled as operating in superpositions of incompatible logics. In this setting, inference is not confined to any single logic: emergent inference occurs when a conclusion is accepted at the superposed level even though it is derivable in none of the component logics. Such conclusions are defined as instances of artificial intuition, arising through logical interference and collapse. The framework provides a constructive account of insight, offers a non-monological perspective on Gödelian limitations, and suggests applications to artificial intelligence, normative reasoning, and models of rational agency.