GeneralNeutralarXiv – CS AI · 6h ago4/10
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Measurable Majorities Are Not Finitely Axiomatizable
A theoretical mathematics paper proves that strict majority voting rules cannot be completely described by any finite set of logical axioms, resolving a conjecture about the finite axiomatizability of measurable social decision frames. The research demonstrates that coherence violations in majority reasoning require arbitrarily long logical chains, meaning no bounded finite system can fully capture all properties of majority-based decision-making.