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New theory proves strict majority reasoning is not finitely axiomatizable

By PulseAugur Editorial · [1 sources] ·

A theoretical note published on arXiv explores the finite axiomatizability of strict majority reasoning within finite social decision frames. Researchers Moss and Pedersen previously introduced a coherence criterion for representing majority judgments with a finitely additive measure. This new work proves that this criterion cannot be replaced by any bounded finite fragment in the finite setting. The study constructs a maximal standard frame for every k >= 1, demonstrating that there is no uniform finite bound on the incoherence index of social decision frames, thus resolving a conjecture. AI

RANK_REASON Academic paper published on arXiv detailing theoretical findings in economics. [lever_c_demoted from research: ic=1 ai=0.1]

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New theory proves strict majority reasoning is not finitely axiomatizable

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Academic paper published on arXiv detailing theoretical findings in economics. [lever_c_demoted from research: ic=1 ai=0.1]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Arthur Paul Pedersen ·

    Measurable Majorities Are Not Finitely Axiomatizable

    This theoretical note studies the finite axiomatizability of strict majority reasoning in finite social decision frames. Moss and Pedersen (2026) <doi: 10.48550/arXiv.2606.23853> introduce a coherence criterion that characterizes exactly when qualitative majority judgments are re…

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